Pre-Requisite Skills for Students Entering Accelerated Pre-Algebra & Honors Pre-Algebra

The Prerequisite Packet: Students need a strong foundation to be ready for Pre-Algebra and all future mathematics courses. While the problems in this packet are optional, practicing each skill and checking your answers is highly encouraged. This packet consists of material studied during previous mathematics courses.

During the first week of school, students will be assessed on the skills listed below. Students are encouraged to complete the packet to practice the skills. Answers are provided. If a student has forgotten how to do one of the skills, it is suggested that they use Khan Academy or Learn Zillow to find a tutorial video. Please reach out with any additional questions that may arise over the summer.

Calculators: Although students enrolled in any pre-algebra class should have a graphing calculator (TI-84+), a calculator will not be allowed on the pre-algebra skills assessment. Since calculators will not be permitted on the assessment, they should not be used for the practice.

Skills needed for Pre-Algebra

1. Real Number Operations: a. Graphing rational numbers on a number line b. Add, subtract, multiple, and divide integers c. Changing for of numbers (percent, decimals, fractions) d. Add, subtract, multiple, and divide fractions. e. Operating with rational numbers (order of operations including absolute value) 2. Expressions and Equations: a. Solving one and two step equations 3. b. Solving word problems c. Simplify expressions d. Combine like terms e. Use the distributive 4. Other: a. Identify parts of the Coordinate Plane b. Graphing points on a Coordinate plane c. Rates and ratios 1. Unit rate 2. Best buy 3. Conversions 4. Proportions Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

Student: ______Instructor: Dynelle Rinkes Assignment: Summer Math Work Date: ______Course: Summer Math (1)

1. What is the meaning of this expression?

53 = (Type your answer as a product. Do not simplify.)

2. Make an equivalent measure.

1 pint = ? cups

1 pint = cups

3. Simplify.

− 6 32 − 3(8 − 6) − 3(3 − 5) ÷ ( − 2)

Select the correct choice below and ﬁll in any answer boxes in your choice.

− 6 32 − 3(8 − 6) = A. − 3(3 − 5) ÷ ( − 2) (Type an integer or a fraction.) B. The answer is undeﬁned.

4. Identify the parts of the expression. Choose from these labels: variable, constant, coefﬁcient.

y + 1

Identify the part y of the expression. Choose the correct answer below.

A. y is the coefﬁcient. B. y is the constant. C. y is the variable.

Identify the part 1 of the expression. Choose the correct answer below.

A. 1 is the coefﬁcient. B. 1 is the variable. C. 1 is the constant.

5. 1 Rewrite the fraction as an equivalent fraction with a denominator equal to 30. 6

1 ? = 6 30

1 = 6 30

1 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 6. Find fractional notation.

12.5%

12.5% = (Simplify your answer. Type an integer or a fraction.)

7. Graph each number on the number line.

4,2, − 7, − 8

Graph 4.

-10 0 10

Graph 2.

-10 0 10

Graph − 7.

-10 0 10

Graph − 8.

-10 0 10

8. Solve the equation and check the solution.

− 5x − 7 = 8

x =

9. Find the absolute value.

The absolute value of 0 is . (Simplify your answer. Type an integer.)

10. Use the distributive property to simplify the expression.

14(z − 1)

14(z − 1) simpliﬁes to . (Simplify your answer.)

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11. Write the fractions that represent the shaded and unshaded portions of the ﬁgure. Note that each set of connected 1 blocks represents one unit and that both sets of connected { blocks are part of the ﬁgure.

The fraction that represents the shaded portions of the ﬁgure is . (Type a whole number, proper fraction, or improper fraction.)

The fraction that represents the unshaded portions of the ﬁgure is . (Type a whole number, proper fraction, or improper fraction.)

12. Find the perimeter and area of the triangle. 17 m 10 m 8 m

21 m

The perimeter = (Be sure to include the correct units.)

The area = 2 (Be sure to include the correct units.)

13. Use front end rounding to estimate the answer. Then ﬁnd the exact answer.

Tuition at the state university is $170 per credit for undergraduates. How much tuition will undergraduate Wei Chen pay for 16 credits?

The estimated amount of Wei Chen's tuition will be $ .

The exact amount of Wei Chen's tuition will be $ .

14. Find the like terms in the expression. Then identify the coefﬁcients of the like terms.

2d2 + 3d + d3 + d2 + 1

The like terms are . (Use a comma to separate answers as needed.)

The coefﬁcient of the smaller like term is . (Type an integer or a decimal.)

The coefﬁcient of the larger like term is . (Type an integer or a decimal.)

15. Simplify the expression.

12 + 3(2y + 5)

12 + 3(2y + 5) = (Use integers or decimals for any numbers in the expression. Simplify your answer.)

3 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 16. Convert each measurement by multiplying or dividing.

(a) 300 sec = ___ min (b) 4 hr = ___ min

(a) 300 sec = min

(b) 4 hr = min

17. Divide and simplify. 1 1 ÷ = 4 12 1 1 ÷ 4 12

18. Find the perimeter and the area of the rectangle. Write exact answers in simplest form. 1 8 4 yd

1 4 8 yd

The perimeter is yd. (Type an integer, proper fraction, or mixed number.)

The area is yd2. (Type an integer, proper fraction, or mixed number.)

19. Divide.

(a) 15 ÷ 5 (b) 15 ÷ ( − 5) (c) ( − 15) ÷ 5 (d) ( − 15) ÷ ( − 5)

(a) 15 ÷ 5 =

(b) 15 ÷ ( − 5) =

(d) ( − 15) ÷ ( − 5) =

20. Find the unknown length. (The ﬁgure is not drawn 1 7 7 in 2 in to scale.) 4 ? 8

1 30 in 2

The unknown length is in. (Type an integer, proper fraction, or mixed number.)

4 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 21. Simplify. Begin by working inside the absolute value bars.

− 2 + ( − 12) + − 5

− 2 + ( − 12) + − 5 =

22. Solve for m.

m 6 = 9 18

m = (Type an integer or a simpliﬁed fraction.)

23. Solve the equation. n =

− n = − 4

24. Simplify. Select the correct choice below and, if necessary, ﬁll in the answer box to complete your choice. − 310 ÷ 62 ÷ ( − 5)

A. − 310 ÷ 62 ÷ ( − 5) = B. The quotient is undeﬁned.

25. Find the average length of the long jumps made by track and ﬁeld athletes.

8.49m, 8.69m, 8.46m, 8.72m, 8.41m

The average length of the long jumps is m. (Round to the nearest hundredth.)

26. Solve the equation.

− 18 = t + 79

t = (Simplify your answer.)

27. Simplify.

− 33 + ( − 1) − ( − 9)

− 33 + ( − 1) − ( − 9) =

28. Solve for the variable.

2x = 8

x =

5 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

29. When assembling shelving units, Paul must use the proper type and size of 1 1 1 in. in. in. hardware. Find the total length of the bolt shown. 11 2 7

The total length of the bolt is in. (Simplify your answer. Type an integer or a fraction.)

30. Simplify.

− 9 + 40 ÷ ( − 5)( − 8) 168 − 6(35) ÷ 5(4)

Select the correct choice below and ﬁll in any answer boxes in your choice.

− 9 + 40 ÷ ( − 5)( − 8) = A. 168 − 6(35) ÷ 5(4) (Type an integer or a fraction.) B. The answer is undeﬁned.

6 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 31. Set up and solve a proportion for the following problem.

A certain band recorded six songs on their ﬁrst album in 15 hours. At this same rate, how long will it take them to record 27 songs for their second album?

Read the problem and decide what is being compared. Choose the correct answer below.

A. This problem compares rate and time. B. This problem compares songs to hours. C. This problem compares songs to albums. D. This problem compares albums to hours.

What does the problem ask to ﬁnd?

A. the time to record 27 songs B. the rate at which the band records songs (in songs per hour) C. the number of songs that the band can record in 27 hours D. the time to record 6 songs

The problem asks for the time to record 27 songs, so call this time x (in hours). Set up a proportion using the two rates given in the problem. Be sure that both rates make the same comparison. Choose the correct answer below.

6 songs x songs 6 songs 27 songs A. = B. = 15 hours 27 hours x hours 15 hours 6 songs x hours 6 songs 27 songs C. = D. = 15 hours 27 songs 15 hours x hours

Estimate a reasonable answer. Choose a good estimate from the choices below.

A. around 10 hours B. around 75 hours C. around 750 hours D. between 1 and 8 hours

6 songs 27 songs What equation would be used to solve the proportion, = , for x? 15 hours x hours

A. 27x = 6 • 15 B. 6x = 15 • 27 6 27 C. = x 15 D. 15x = 6 • 27

Solve for x and state the answer.

The band can record the 27 songs in hours. (Simplify your answer. Type a whole number or a decimal.)

Since the estimate was 75 hours, this answer is reasonable.

7 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 32. Two roommates do 361 hours of household chores. 38 hours are done by Stephen and 323 hours by Tom. What fraction of the household chores is done by Stephen? What fraction of the household chores is done by Tom?

fraction of the household chores is done by Stephen. (Simplify your answer. Type an integer or a fraction.)

fraction of the household chores is done by Tom. (Simplify your answer. Type an integer or a fraction.)

33. Fill in the blank with the measurement relationships you have memorized.

1 ton = ___ lb

1 ton = lb

34. Complete the table. Write fractions and mixed numbers in lowest terms.

Fraction Decimal Percent 1 2

Fraction Decimal Percent 1 % 2 (Type integers or decimals.)

35. Divide.

− 17 0

Select the correct choice below and, if necessary, ﬁll in the answer box to complete your choice.

− 17 A. = 0 B. The expression is undeﬁned.

36. Simplify each side of the equation when possible. Then solve the equation and check the solution.

c − 2 = − 3 + 1

c = (Simplify your answer.)

37. Stephanie had $305 in her bank account. She made payments of $128 for day care and $546 for rent. She also deposited her $349 paycheck. What is the balance in her account?

The balance in her account is dollars. (Simplify your answer.)

38. Divide. Write the quotient in lowest terms. 25 − ÷ 5 = 13 25 − ÷ 5 (Type a simpliﬁed fraction.) 13

8 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 39. Simplify each side of the equation when possible. Then solve the equation and check the solution.

c − 2 = − 2 + 5

c = (Simplify your answer.)

40. Use the score sheet to ﬁnd each player's point Jeff Terry total after three rounds in a card game. Round 1 Lost 10 pts Won 43 pts Round 2 Won 68 pts Lost 15 pts Round 3 Lost 58 pts Won 23 pts

Jeff's point total is points. (Simplify your answer.)

Terry's point total is points. (Simplify your answer.)

41. 4 Find of 30. 15

Choose the correct answer below. A. 8 B. 2 225 C. 225 2

42. Simplify.

− 13 + 10 ÷ − 5 • − 2 323 − (9 • 4)(9 • 3) ÷ 3

A. − 12 B. − 6 C. 12 D. 6

43. Add.

− 1 + 24 + ( − 55) + 4

− 1 + 24 + ( − 55) + 4 =

44. Convert the measurement using unit fractions.

90 min = ____ hr

90 min = hr (Type a whole number or a decimal.)

9 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 45. Use cross products to determine whether the proportion below is true or false.

5 10 = 9 18

Is the proportion true or false?

A. True. The cross products are equal. B. False. The denominators of the two ratios are not equal. C. False. The numerators of the two ratios are not equal. D. False. The cross products are not equal.

46. Set up and solve a proportion for the following application problem. If 3 pounds of grass seed cover 442 square feet, how many pounds are needed for 7072 square feet?

pounds.

47. Simplify.

3 − 52

A. 4 B. − 22 C. 22 D. − 4

48. Convert the following measurement.

12 quarts to pints

12 quarts = pints

10 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

49. The tallest known land mammal, a prehistoric ancestor of the rhino, was 6.4 meters tall. Compare the rhino's height to the combined heights of three basketball players whose heights are 2.15 meters, 1.88 meters, 2.08 meters. Is their combined height 6.4 m greater or less than the rhino's height? By how much? First use front end rounding to round each number and estimate the answer. Then ﬁnd the exact answer.

Estimate the combined height of the basketball players and compare that height with the actual height of the rhino. Select the correct choice below, and ﬁll in the answer box to complete your choice.

A. The rhino is approximately taller than the combined height of the basketball players. (Type an integer or a decimal.) B. The rhino is approximately shorter than the combined height of the basketball players. (Type an integer or a decimal.)

Find the exact combined height of the basketball players and compare that height with the actual height of the rhino. Select the correct choice below, and ﬁll in the answer box to complete your choice.

A. The rhino is shorter than the combined height of the basketball players. (Type an integer or a decimal.) B. The rhino is taller than the combined height of the basketball players. (Type an integer or a decimal.)

50. Convert the measurement as indicated.

17 yd to feet

17 yd = ft

11 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 51. In which quadrant is each of these points located? y 10 ( − 5,2) (0,1) 8 6 In which quadrant is the point ( − 5,2) located? Choose the correct 4 answer below. 2 x

-10 -8 -6 -4 -2 2 4 6 8 10 A. I -2 B. none -4 C. II -6 D. IV -8 E. III -10

In which quadrant is the point (0,1) located?

A. I B. II C. none D. IV E. III

52. Use the table to answer the questions. The table lists the Player Games Points Average basketball players in the IBA with the highest scoring averages at the start of the 2000-2001 season. Martin 324 9785 30.2 Penny 350 10395 29.7 Tyson 220 6292 28.6 Garcia 211 5655 26.8 Harva 386 9804 ? Cassad 314 7693 ?

What is the average number of points per game scored by Harva? (Round to the nearest tenth.)

What is the average number of points per game scored by Cassad? (Round to the nearest tenth.)

53. Simplify using order of operations.

3.4 − 4.7 + 5.42

3.4 − 4.7 + 5.42 =

54. Suppose that a person's brain is 0.023 of the body weight. Find percent notation for 0.023.

Written in percent notation: 0.023 =

12 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 55. Write the ratio as a fraction in lowest terms.

12 feet to 3 yards

What is the ﬁrst step to write a ratio that compares measurements?

A. First, write both measurements in the same unit. B. Sometimes it is impossible to write both measurements in the same unit

First, write both measurements in the same units. Convert from yards to feet.

In 1 yard, there are feet. (Type a whole number.)

So, 3 yards = feet. (Simplify your answer.)

Now that both measurements have the same unit, divide out the common unit and write the ratio as a fraction.

Thus, the ratio 12 feet to 9 feet can be written as . (Do not simplify.)

Write the ratio in simplest form. A ratio is in simplest form when the two numbers do not have a common factor and both numbers are 12 whole numbers. Is in simplest form? 9

Yes No

12 Next, reduce the fraction . Divide both the numerator and the denominator by the greatest common factor. The greatest common 9 factor of 12 and 9 is .

Divide both the numerator and the denominator by 3 and simplify.

12 = (Simplify your answer.) 9

4 Therefore, the ratio in simplest form is . 3

13 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 56.

14 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math Plot the point A( − 5,1) on the graph below. Plot each point. y 6 7 A( − 5,1), B − 3, , C(4,3), D(4,0), E(0, − 5), F( − 2, − 1) 5 2 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

7 Plot the point B − 3, below on the graph below. 2 y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

Plot the point C(4,3) on the graph below. y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

Plot the point D(4,0) on the graph below. y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 15 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 57. Multiply. Write the product in lowest terms.

7 1 − • 8 2

7 1 − • = (Type an integer or a simpliﬁed fraction.) 8 2

58. Use the distributive property to help you solve the equation.

3(w − 3) = 9

w =

59. Complete the table, plot the ordered pairs, and graph. Choose the correct graph.

x + y = − 2 A. B. y y 10 10 ordered pair x y (x,y) x x − 6 -10 10-10 10 3 -10 -10 7 C. D.

y y 10 10

x x

-10 10-10 10

-10 -10

60. Simplify where possible. Then solve the equation and check the z = solution.

− 6 = 17z − 14z

61. Find the unknown number in the following proportion. Round your answer to the nearest hundredth, if necessary. Check your answer by ﬁnding the cross products.

35 21 = 14 x

x = (Type a whole number or decimal rounded to the nearest hundredth as needed.)

16 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 62.

17 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math Plot the point A(4,2) on the graph below. Plot each point. y A(4,2), B( − 2,4), C(2, − 5), D( − 3, − 5), E(0,3), F( − 2,0) G(0, − 6) 6 H(2,0) 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

Plot the point B( − 2,4) below on the graph below. y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

Plot the point C(2, − 5) on the graph below. y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

Plot the point D( − 3, − 5) on the graph below. y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 18 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 63. Complete the table, plot the ordered pairs, and graph. 20 x + y = 3 16 12 8 ordered pair 4 x y (x,y) -20 -16 -12 -8 -4 4 8 12 16 20 3 -4 -8 -12 ordered pair x y -16 (x,y) -20 2

ordered pair x y (x,y) − 4

Plot the ﬁrst ordered pair (3,0).

Plot the second ordered pair (2,1).

Plot the third ordered pair ( − 4,7).

Connect the points with a straight line. This tells you that x + y = 3 is a linear equation.

64. Rewrite − 2(4 • 9) using the associative property. Show that the result is unchanged.

What is − 2(4 • 9) using the associative property? Choose the correct answer below.

A. ( − 2 • 4) • ( − 2 • 9) B. ( − 2 • 4) • 9 C. − 2(36) D. (4 • 9) • ( − 2)

The value of the original expression is .

The value of the rewritten expression is .

65. Simplify.

15 − 9 − 6 − 2

15 − 9 − 6 − 2 =

66. Suppose there is a 2-degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 65 degrees, what would be the temperature when the plane reaches an altitude of 22,000 ft?

The temperature would be degree(s).

19 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 67. Clarence bowled four games and had scores of 176, 158, 166, and 136. What was his average score? (Hint: To ﬁnd the average, add all the scores and divide by the number of scores.)

What was his average score?

68. A grocery store sells four different jars of peanut butter. Determine which is the best buy, based on the cost per unit.

10 ounces for $1.13 20 ounces for $2.06 32 ounces for $2.91 34 ounces for $4.25

Which size jar is the best buy? ounces

69. The comparison line graph shows the sales and proﬁts of a ANNUAL SALES company for each of four years. Use the graph to answer the question. 75 70 65 Find the year of lowest sales and the amount of sales. 60 55 50 The year(s) of lowest sales is/are . 45 40 Sales (Use a comma to separate answers as needed.) 35 30 The amount of sales in the year(s) of lowest sales is 25 20 $ . 15 10 Proﬁt

of dollars) thous. Proﬁt (in and Ann. Sales 5 0 1998 1999 2000 2001 2002 Year

70. Find the like terms in the expression. Then identify the coefﬁcients of the like terms.

2x2y + ( − 11xy) + 9xy + − 4xy2

The like terms are . (Use a comma to separate answers as needed.)

The coefﬁcient of the like term with the positive coefﬁcient is . (Type an integer or a decimal.)

The coefﬁcient of the like term with the negative coefﬁcient is . (Type an integer or a decimal.)

71. Solve the equation.

7m + 21 = 0

m =

20 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 72. Simplify.

− 8 ÷ ( − 2) • − 4 • 1

Select the correct choice below and, if necessary, ﬁll in the answer box to complete your choice.

A. − 8 ÷ ( − 2) • − 4 • 1 = (Type an integer or a decimal.) B. The answer is undeﬁned.

73. Find the sum.

− 4.329 + 0.62

− 4.329 + 0.62 = (Type an integer or a decimal.)

74. Multiply.

(a) 4( − 8) (b) − 4(8) (c) 4(8) (d) − 4( − 8)

(a) 4( − 8) =

(b) − 4(8) =

(d) − 4( − 8) =

75. State the coordinates of the points graphed in the ﬁgure below.

A (Type an ordered pair.) y 10 B (Type an ordered pair.) 8 6 D C C (Type an ordered pair.) 4 E 2 x D (Type an ordered pair.) B -10 -8 -6 -4 -2 2 4 6 8 10 -2 E (Type an ordered pair.) -4 A F -6 F (Type an ordered pair.) -8 -10

21 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 76. Identify the parts of the expression. Choose from these labels: variable, constant, coefﬁcient.

15b − 14

Identify the part b of the expression. Choose the correct answer below.

A. b is the constant. B. b is the variable. C. b is the coefﬁcient.

Identify the part 15 of the expression. Choose the correct answer below.

A. 15 is the variable. B. 15 is the coefﬁcient. C. 15 is the constant.

Identify the part − 14 of the expression. Choose the correct answer below.

A. − 14 is the variable. B. − 14 is the constant. C. − 14 is the coefﬁcient.

77. Write the ratio as a fraction in lowest terms. The ratio is . (Simplify your answer. Type a fraction.) 1 1 3 to 2 3 4

78. Simplify.

− 8 ÷ 2 + 6(32) ÷ 18

Select the correct choice below and, if necessary, ﬁll in the answer box to complete your choice.

A. − 8 ÷ 2 + 6(32) ÷ 18 = (Type an integer or a fraction.) B. The answer is undeﬁned.

79. Simplify each side of the equation when possible. Then solve the equation and check the solution.

4w − 3w + 2 = − 2 + 3

w = (Simplify your answer.)

80. Simplify.

6 − ( − 3)( − 6)2

Select the correct choice below and, if necessary, ﬁll in the answer box to complete your choice.

A. 6 − ( − 3)( − 6)2 = (Type an integer or a fraction.) B. The answer is undeﬁned.

22 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 81. Divide and simplify. 18 3 − ÷ − = 25 5 18 3 − ÷ − (Type a simpliﬁed fraction.) 25 5

82. Graph the equation by completing a table to find three solutions and plotting the ordered pairs. Then use the graph to find two 10 other solutions. 8 6 x + y = 3 4 2 Substitute three values of x in the equation and find the corresponding values of y. Find y when x = 0. -10 -8 -6 -4 -2 2 4 6 8 10 -2 y = (Simplify your answer.) -4 -6 Find y when x = 1. -8 -10 y = (Simplify your answer.)

Find y when x = 2.

y = (Simplify your answer.)

Complete the table.

x y (x,y) 0 3 1 2 2 1 (Type an ordered pair.)

Now plot the three points. Plot (0,3).

Plot (1,2).

Plot (2,1).

Draw a line through the points, extending it in both directions. The graph of the equation is shown on the right.

Use the graph to ﬁnd two other solutions. Choose the correct answer below.

A. ( − 5,3) and (2,6) B. ( − 2,5) and (4,2) C. ( − 4,6) and (3,0) D. ( − 2,5) and (3,0) E. ( − 4,6) and (4,2)

Thus, two other solutions are ( − 2,5) and (3,0).

23 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 83. Evaluate.

43 • 32

43 • 32 =

84. Find the ratio of the length of the longest side to the length of the shortest side. Write the ratio as a fraction in lowest terms.

2.0 meters

1.6 meters 1.6 meters

2.0 meters

The ratio of the length 2.0 meters to the length 1.6 meters is . (Type the ratio as a simpliﬁed fraction.)

85. Simplify.

− 1 + 32 − ( − 12) − 6 − 10 + 14

Select the correct choice below and, if necessary, ﬁll in the answer box to complete your choice.

A. − 1 + 32 − ( − 12) = − 6 − 10 + 14 (Type an integer or a simpliﬁed fraction.) B. The answer is undeﬁned.

86. Solve and check your solution.

− 9y = 27

y =

87. Last year, my parents had a combined income of $40,000. They paid $8800 in federal income taxes. What fraction shows how much my parents spent on their federal taxes?

The fraction that shows how much my parents spent on their federal taxes is . (Simplify your answer. Type a fraction.)

24 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 88. Graph the pair of fractions on the number line.

1 1 , − 2 2

Choose the correct graph below.

A. -1 0 1

B. -1 0 1

C. -1 0 1

D. -1 0 1

89. Find the perimeter and the area of the square. Write exact answers in simplest form. 3 7 4 ft

3 7 4 ft

The perimeter is ft. (Type an integer, proper fraction, or mixed number.)

The area is ft2. (Type an integer, proper fraction, or mixed number.)

90. Simplify.

− 5 • − 5 • 5

− 5 • − 5 • 5 = (Type an integer or a decimal.)

91. Simplify.

− 6 + 4(9 − 12)

Select the correct choice below and ﬁll in any answer boxes in your choice.

A. − 6 + 4(9 − 12) = (Type an integer or a fraction.) B. The answer is undeﬁned.

25 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 92. The circle graph shows the results of an online survey. Adults Number of Adults Who Picked the Day of the Week They were asked on which day of the week they were most likely to Were Most Likely to Order Food for Delivery order food delivered to their homes. Use the graph to answer the question. Write ratios as fractions in lowest terms. What is the ratio of the people who picked Monday to the total people in the survey?

Find the number of people who picked Monday to order food for delivery.

What should be done in order to ﬁnd the total number of people in the survey? Monday 10 Tuesday 30 A. multiply 10 by 7 Wednesday 55 B. add all parts and Thursday 50 Friday 210 divide by 7 Saturday 110 C. add all parts Sunday 35

Find the total number of people in the survey.

(Simplify your answer.)

What should be done to ﬁnd the ratio of the people who picked Monday to the total people in the survey?

A. Subtract 10 from 500 B. Divide 500 by 10 C. Add 10 to 500 D. Divide 10 by 500

Write the ratio as a fraction and reduce it to lowest terms.

10 = 500

26 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 93. The dimensions of two rectangular pieces of paper, A and B, are 7.5362 in shown to the right. a) Find the area of each piece. (Hint: Multiply to ﬁnd the area.) A 2.944 in b) What is the difference of the rounded areas?

6.28 in

B 2.59 in

a) The area of A is in2. (Simplify your answer. Type a whole number or a decimal rounded to the nearest tenth.)

The area of B is in2. (Simplify your answer. Type a whole number or a decimal rounded to the nearest tenth.)

b) The difference in the rounded areas is in2. (Simplify your answer. Type a whole number or a decimal rounded to the nearest tenth.)

94. The perimeter of a pentagon with sides of equal length is 5 times the length of one side, s. If the perimeter is 150 meters, solve the equation 5s = 150 to ﬁnd the length of one side.

The length of one side is s = meters. (Simplify your answer.)

95. A company makes miniature chocolate bars. Find how many 30-bar packages can be ﬁlled with 16,449 bars and ﬁnd how many bars will be left over.

How many 30-bar packages can be ﬁlled?

How many bars will be left over?

96. Evaluate.

( − 7)2

( − 7)2 =

97. 3 3 Arrange from smallest to largest. 0.33, 0.7502, , . 8 4

3 3 In order from smallest to largest, 0.33, 0.7502, , is , , , . 8 4

98. Find the following quantities. Remember that 100% is all of something and 50% is half of it.

(a) 100% of 4.4 miles is miles. (Type an integer or a decimal.)

(b) 50% of 4.4 miles is miles. (Type an integer or a decimal.)

27 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 99. Make an equivalent measure.

1 minute = ? seconds

1 minute = seconds

100. Simplify.

6(42) + 7(5 + 7) − ( − 5)

Select the correct choice below and, if necessary, ﬁll in the answer box to complete your choice.

A. 6(42) + 7(5 + 7) − ( − 5) = (Type an integer or a fraction.) B. The answer is undeﬁned.

101. Use unit fractions to convert. The answer is pt. (Type an integer or a decimal.) 45 cups = ____ pt

102. On the back of a cereal box, it says that one serving weighs 20 grams and that there are 18 servings in the box. On the front of the box, it says that the weight of the contents is 380 grams. What is the difference in the total weight on the front and the back of the box?

The weight on the front of the box is grams (1) than the weight on the back of the box.

(1) more less

103. Find the difference.

− 4.4032 − (6 − 8.4)

− 4.4032 − (6 − 8.4) = (Simplify your answer. Type an integer or a decimal.)

104. Add.

− 3.4 + ( − 6.71)

− 3.4 + ( − 6.71) =

105. Simplify the expression.

c − 15c

Select the correct choice below and, if necessary, ﬁll in the answer box to complete your choice.

A. c − 15c simpliﬁes to . B. The expression cannot be simpliﬁed.

28 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 106. The bar graph shows the number of workers who were Unemployment # of workers in 1000's unemployed in a city during the ﬁrst two months of 1997 and 10 1998. 9 8 7 How many more workers were unemployed in February of 1998 6 than in February of 1997? 5 4 3 2 more workers were unemployed in February of 1 0 1998. A B C D A: January 1997 (Round to the nearest 500 workers.) B: January 1998 C: February 1997 D: February 1998

29 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 107. Subtract by changing subtraction to addition.

− 6 − ( − 7)

How to subtract numbers?

A. To subtract two numbers, add the first number to the opposite (additive inverse) of the second number. B. To subtract two numbers, multiply the first number by the opposite (additive inverse) of the second number. C. To subtract two numbers, add the second number by the opposite (additive inverse) of the first number. D. To subtract two numbers, multiply the first number by the multiplicative inverse of the second number.

What is the ﬁrst number?

What is the second number?

What is the opposite of the second number?

To subtract two numbers, add the ﬁrst number to the opposite (additive inverse) of the second number.

ﬁrst opposite of the Subtraction = + number second number ↓ ↓ ↓ ↓ ↓ (1) − 6 − ( − 7) = − 6

What should be the next step?

A. Multiply. B. Subtract. C. Add. D. Divide.

Add the signed numbers to get the ﬁnal result.

− 6 − ( − 7) = − 6 + 7 =

Therefore, − 6 − ( − 7) = 1.

30 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

(1) + − × ÷ ×

108. Evaluate the expression when y is − 3 and z is − 24.

z2 − 8y + z

Select the correct choice below and ﬁll in any answer boxes within your choice.

A. z2 is (Simplify your − 8y + z answer.) B. The answer is undeﬁned.

109. 1 1 A family has an annual income of $28,800. Of this, is spent for food, for housing, 4 5 1 1 1 for clothing, for savings, for taxes, and the rest for other expenses. How much is spent for housing? 10 9 4

$ is spent for housing.

31 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 110. Solve the equation and check the solution.

s + 13 = 14

To solve the equation, get the variable by itself on one side of the equal sign. What should be done to get s alone on the left side of the equation?

A. Add the opposite of 13 to both sides. B. Add the opposite of 14 to both sides. C. Add the opposite of s to both sides. D. Add the opposite of − 13 to both sides. E. Add any number to both sides of the equation.

Add the opposite of 13 to both sides.

s + 13 = 14 s + 13 + = 14 +

Add.

s + 13 + ( − 13) = 14 + ( − 13) s + =

Simplify.

s + 0 = 1 = 1

Check the solution. What should be done to check the solution?

A. Add 1 to both sides of the original equation. B. Add the opposite of 1 to both sides of the original equation. C. Replace s with 1 in the original equation.

Replace s with 1 in the original equation.

s + 13 = 14 This is the original equation. ? + 13 = 14 Substitute. ? = 14 Add.

Does the solution make the equation balance?

Yes No

Because the equation balances, the correct solution is s = .

32 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 111. Simplify.

− 5( − 4) ÷ ( − 7 + 7)

Select the correct choice below and, if necessary, ﬁll in the answer box to complete your choice.

A. − 5( − 4) ÷ ( − 7 + 7) = (Simplify your answer. Type an integer or a decimal.) B. The answer is undeﬁned.

112. Use unit fractions to convert. The answer is lb.

16 oz = ____ lb

113. Make an equivalent measure.

1 mi = ? ft

1 mi = ft

114. Simplify. Begin the exercise by working inside the parentheses.

− 9 − ( − 2 + 4) + ( − 7)

− 9 − ( − 2 + 4) + ( − 7) =

115. Which has the lower unit price? Soap

brand A: $1.07 for 3 bars brand B: $1.73 for 4 bars

The brand with the lower unit price is brand .

116. Add.

9 + ( − 10) + ( − 1) + 7

9 + ( − 10) + ( − 1) + 7 =

117. Multiply.

− 2 • ( − 5) • 6

− 2 • ( − 5) • 6 =

118. Find the sum. Write the sum in lowest terms. 5 1 − + − = 8 24 5 1 − + − 8 24

33 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 119. Find the unit rate.

4.8 pounds for 4 people

The unit rate is pounds/person. (Type a whole number or a decimal.)

120. Find the length of the dashed line in the rectangle. 0.77 0.6 cm cm

3 cm

The length of the dashed line is cm.

121. What fraction of these 11 shapes are diamonds? triangle square circle diamond

of the shapes are diamonds. (Type a fraction.)

122. Solve the equation.

− 15 + 8 = 4 + m

m = (Simplify your answer.)

123. Simplify each side of the equation when possible. Then solve the equation and check the solution.

5 + b = − 15 − 7

b = (Simplify your answer.)

124. Convert the measurement using a unit fraction.

90 in = ____ ft

90 in = ft (Simplify your answer.)

125. Solve the equation and check the solution.

− 7x + 11 = 11

x = (Simplify your answer.)

34 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 126. Rewrite 7( − 2 + 5) using the distributive property. Show that the result is unchanged.

What is 7( − 2 + 5) using the distributive property? Choose the correct answer below.

A. 7 • ( − 2) + 7 • 5 B. 7(3) C. 7 • (2) • 5 D. 7 • (2) + 5

The value of the original expression is .

The value of the rewritten expression is .

127. Find the length of the dashed line in the circle. 3.981 ft

3.981 ft

15.905 ft

The length of the dashed line in the circle is ft.

128. 3 9 7 A forester planted acre in seedlings in the morning and acre in the afternoon. If acre of seedlings were destroyed by frost. 11 11 11 How many acres remained?

How many acres remained? acre(s) (Simplify your answer. Type a whole number, fraction, or mixed number.)

129. Use the distributive property to help you solve the equation.

− 7 = 7(y + 1)

y =

35 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 130. Simplify the expression.

9r + 4r

To simplify the expression, combine like terms. If there are any variable terms with no coefﬁcient, write in the understood 1. Are there any variable terms with no coefﬁcient?

No Yes

If there are any subtractions, change each one to adding the opposite. Are they any subtractions in the expression 9r + 4r?

Yes No

Find like terms. Like terms are terms with exactly the same variable parts (the same letters and exponents). The coefﬁcients do not have to match. Are there any like terms in the expression 9r + 4r?

No Yes

Find like terms.

(Use a comma to separate answers as needed.)

Add the coefﬁcients (number parts) of like terms. The variable part stays the same.

9r + 4r can be written as ( )r (Do not simplify.)

Simplify.

(9 + 4)r can be written as (Simplify your answer.)

Thus, 9r + 4r simpliﬁes to 13r.

131. Add by using the rules for addition of integers.

(a) 32 + ( − 13) (b) − 32 + 13

(a) 32 + ( − 13) =

(b) − 32 + 13 =

132. Find the best buy (based on price per unit) for cereal.

16-ounce size: $4.29 25-ounce size: $5.59 32-ounce size: $5.89

The best buy is the -ounce size.

36 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 133. Complete the ordered pairs for the equation.

2x + y = − 4 ( − 6,?) (0,?) (1,?)

A. ( − 6,8); (0, − 4); (1, − 6) B. ( − 6,8); (0,4); (1, − 6) C. ( − 6, − 20); (0, − 4); (1, − 6) D. ( − 6, − 16); (0, − 4); (1, − 6)

134. The table lists information about three long-distance calling cards. The connection fee is charged each time you make a call, no matter how long the call lasts.

Card Name Cost per Minute Connection Fee Penny Saver $0.005 $0.26 Most Minutes $0.0024 $0.59 USA Card $0.04 $0.22

(a) Find the actual total cost, including the connection charge, for a nine-minute call using each card. (b) Find the cost per minute for this call using each card and select the best buy.

(a) The cost of a nine-minute call using the Penny Saver card is $ . (Round to the nearest thousandth as needed.)

The cost of a nine-minute call using the Most Minutes card is $ . (Round to the nearest thousandth as needed.)

The cost of a nine-minute call using the USA Card is $ . (Round to the nearest thousandth as needed.)

(b) The cost per minute of a nine-minute call using the Penny Saver card is $ . (Round to the nearest thousandth as needed.)

The cost per minute of a nine-minute call using the Most Minutes card is $ . (Round to the nearest thousandth as needed.)

The cost per minute of a nine-minute call using the USA Card is $ . (Round to the nearest thousandth as needed.)

Which of these cards is the best value per minute for a nine-minute phone call?

A. Most Minutes B. USA Card C. Penny Saver card

135. Solve the equation and check the solution.

22 = − 3x + 40

x = (Simplify your answer.)

37 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 136. Solve the equation and check the solution.

− 8 = − 1 + t

t = (Simplify your answer.)

137. Write an integer in the blank to make a true statement.

( )( − 5)( − 2) = − 60

( − 5)( − 2) = − 60

138. The perimeter of a triangle with sides of equal length is 3 times the length of one side, s. If the perimeter is 60 ft, solving the equation 3s = 60 will give the length of one side. Solve the equation.

The length of one side is s = ft. (Simplify your answer.)

139. Find the difference.

0.9 − 8.76

0.9 − 8.76 = (Type an integer or a decimal.)

140. Find the like terms in the expression.

7 + 2d + 3 + 4d3 + ( − 14)

The like terms are . (Use a comma to separate answers as needed.)

141. The comparison line graph shows the sales and profits of a ANNUAL SALES company for each of four years. Use the graph to answer the question. 55 50 Find the year of lowest sales and the amount of sales. 45 40 35 Sales The year(s) of lowest sales is/are . 30 (Use a comma to separate answers as needed.) 25 20 The amount of sales in the year(s) of lowest sales is 15 Profit $ . 10 5 of dollars) thous. Profit (in and Ann. Sales 0 1999 2000 2001 2002 2003 Year

38 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 142. Graph the pair of fractions on the number line.

2 2 , − 3 3

Choose the correct graph below.

A. -1 0 1

B. -1 0 1

C. -1 0 1

D. -1 0 1

143. Use the distributive property to simplify the expression.

− 4(3x + 6)

− 4(3x + 6) simpliﬁes to (Simplify your answer.)

144. Use cross products to determine whether the given proportion is true or false.

1 2 = 1 13 6 2

Is the proportion true or false? True False

145. Write the ratio as a fraction in lowest terms. The ratio is .

16 minutes to 2 hours

146. Convert each measurement by multiplying or dividing.

(a) 14 qt = ___ gal 1 (b) 7 ft = ___ in 2

(a) 14 qt = gal (Simplify your answer. Type a whole number or mixed number.)

1 (b) 7 ft = in (Simplify your answer. Type a whole number or mixed number.) 2

39 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 147. Solve the equation.

5t + 6t = 16 + 10 − 15

t =

148. Subtract by changing subtraction to addition.

(a) 6 − ( − 7) (b) 6 − 7 (c) − 6 − ( − 7) (d) − 6 − 7

(a) 6 − ( − 7) =

(b) 6 − 7 =

(d) − 6 − 7 =

149. Simplify where possible. Then solve the equation and check the solution.

4r = − 5 + 25

r =

150. About 50% of 8500 commuters carpool to work. Find the number of commuters who carpool.

How many commuters carpool?

40 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

1. 5 • 5 • 5

2. 2

− 6 32 − 3(8 − 6) 3. A. = 20 (Type an integer or a fraction.) − 3(3 − 5) ÷ ( − 2)

4. C. y is the variable.

C. 1 is the constant.

5. 5

6. 1 8

7. -10 0 10

-10 0 10

8. − 3

9. 0

10. 14z − 14

11. 7 5

3 5

41 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 12. 48

13. 4000

2720

14. 2d2,d2

15. 6y + 27

16. 5

240

17. 3

18. 3 24 4

1 34 32

19. 3

− 3

20. 3 20 8

21. − 9

22. 3

42 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

23. 4

24. A. − 310 ÷ 62 ÷ ( − 5) = 1

25. 8.55

26. − 97

27. − 25

28. 4

29. 113 154

30. B. The answer is undeﬁned.

31. B. This problem compares songs to hours.

A. the time to record 27 songs

6 songs 27 songs D. = 15 hours x hours

B. around 75 hours

B. 6x = 15 • 27

67.5

32. 2 19

17 19

33. 2000

34. 0.5

35. B. The expression is undeﬁned.

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36. 0

37. − 20

38. 5 − 13

39. 5

40. 0

41. A. 8

42. C. 12

43. − 28

44. 1.5

45. A. True. The cross products are equal.

46. 48

47. B. − 22

48. 24

49. A. The rhino is approximately 0.4 taller than the combined height of the basketball players. (Type an integer or a decimal.)

B. The rhino is 0.29 taller than the combined height of the basketball players.(Type an integer or a decimal.)

50. 51

44 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

51. C. II

C. none

52. 25.4

24.5

53. 27.86

54. 2.3%

55. A. First, write both measurements in the same unit.

12 9

4 3

45 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 56. y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

46 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

57. 7 − 16

58. 6

59. 4

( − 6,4)

− 5

(3, − 5)

− 9

(7, − 9)

y 10

-10 10

-10 B.

47 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

60. − 2

61. 8.4

48 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 62. y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

49 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

y 6 5 4 3 2 1 x

-6 -5 -4 -3 -2 -1-1 1 2 3 4 5 6 -2 -3 -4 -5 -6

50 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

63. 0

(3,0)

(2,1)

( − 4,7)

20 16 12 8 4

-20 -16 -12 -8 -4 4 8 12 16 20 -4 -8 -12 -16 -20

20 16 12 8 4

-20 -16 -12 -8 -4 4 8 12 16 20 -4 -8 -12 -16 -20

20 16 12 8 4

-20 -16 -12 -8 -4 4 8 12 16 20 -4 -8 -12 -16 -20

51 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 64. B. ( − 2 • 4) • 9

− 72

65. − 2

66. 21

67. 159

68. 32

69. 1999

35,000

70. − 11xy,9xy

− 11

71. − 3

72. A. − 8 ÷ ( − 2) • − 4 • 1 = − 16 (Type an integer or a decimal.)

73. − 3.709

74. − 32

− 32

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75. ( − 5, − 6)

(6,0)

( − 2,4)

(0,5)

(6,3)

(5, − 6)

76. B. b is the variable.

B. 15 is the coefﬁcient.

B. − 14 is the constant.

77. 40 27

78. A. − 8 ÷ 2 + 6(32) ÷ 18 = 7 (Type an integer or a fraction.)

79. − 1

80. A. 6 − ( − 3)( − 6)2 = 114 (Type an integer or a fraction.)

81. 6 5

53 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 82. 3

(0,3)

(1,2)

(2,1)

10 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 -10

10 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 -10

10 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 -10

D. ( − 2,5) and (3,0)

83. 576

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84. 5 4

− 1 + 32 − ( − 12) 85. A. = − 10 (Type an integer or a simpliﬁed fraction.) − 6 − 10 + 14

86. − 3

87. 11 50

88. D. -1 0 1

89. 31 1 60 16

90. − 125

91. A. − 6 + 4(9 − 12) = − 18 (Type an integer or a fraction.)

92. 10

C. add all parts

500

D. Divide 10 by 500

1 50

93. 22.2

16.3

5.9

94. 30

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95. 548

96. 49

97. 0.33 3 8

3 4

0.7502

98. 4.4

2.2

99. 60

100. A. 6(42) + 7(5 + 7) − ( − 5) = 185 (Type an integer or a fraction.)

101. 22.5

102. 20

(1) more

103. − 2.0032

104. − 10.11

105. A. c − 15c simpliﬁes to − 14c .

106. 2000

56 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 107. A. To subtract two numbers, add the ﬁrst number to the opposite (additive inverse) of the second number.

− 6

− 7

(1) +

C. Add.

108. B. The answer is undeﬁned.

109. 5760

110. A. Add the opposite of 13 to both sides.

( − 13)

C. Replace s with 1 in the original equation.

Yes

111. B. The answer is undeﬁned.

112. 1

113. 5280

114. − 18

115. A

57 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

116. 5

117. 60

118. 2 − 3

119. 1.2

120. 1.63

121. 2 11

122. − 11

123. − 27

124. 1 7 2

125. 0

126. A. 7 • ( − 2) + 7 • 5

127. 7.943

128. 5 11

129. − 2

58 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math 130. No

Yes

9r,4r

9 + 4

13r

131. 19

− 19

132. 32

133. A. ( − 6,8); (0, − 4); (1, − 6)

134. 0.305

0.612

0.580

0.034

0.068

0.064

C. Penny Saver card

135. 6

136. − 7

137. − 6

138. 20

139. − 7.86

140. 7,3, − 14

59 of 60 5/22/19, 10:14 AM Summer Math Work-Dynelle Rinkes https://xlitemprod.pearsoncmg.com/api/v1/print/math

141. 2001

20,000

142. D. -1 0 1

143. − 12x − 24

144. True

145. 2 15

146. 1 3 2

147. 1

148. 13

− 1

− 13

149. 5

150. 4250

60 of 60 5/22/19, 10:14 AM