Semester 1 Exam Review
Name:______
1.) There are 43 bacteria in a sample. How many bacteria is this? A.) 12 B.) 16 C.) 64 D.) 256
2.) Johnny gains 5 yards on his first run, then losses 7 yards on his second run, and gains 4 yards on his last run. What integer would represent his total yardage? A.) -2 B.) 16 C.) 2 D.) -16
4.) Which number is equivalent to
1 1 52 � (2 ) 2 2
1 A.) 24 B.) 30 2 C.) 63 D.) 75
5.) Find the value of the expression:
2(1.1- 0.6) 0.4 + 0.5
A.) 2.4 B.) 2.8 C.) 3.6 D.) 5.4
6.) Sal is hosting a party for 66 people. He will have people sit at a long line of tables. Each table can seat 4 people, plus one person can sit at each end of the line of tables, as shown. Sal uses this formula to find the number of people (p) who can sit at any number of tables (t). p = 4t + 2
Use the formula to find the number of tables he will need to seat 66 people. Show all of the steps you use to find the answer.
P = 4t + 2 The number of tables needed is 16. 66 = 4t + 2 -2 -2 64 = 4t 64/4 = 4t/4 16 = t
7 7.) Which expression is equivalent to ? 8
1 A.) 7 ÷ B.) 7 ÷ 8 8
1 C.) 8 ÷ D.) 8 ÷ 7 7
8.) An input / output table is shown.
Input Output 2 5 4 6 6 7 8 8 10 9
Which rule describes this input-output function?
A.) double the input, and add 1 B.) add 1 to each input number C.) add 2 to each input number D.) divide the input by 2, and add 4 9.) The original cost of the guitar that Jane wants to buy is $240 in two different stores. Sam’s Music is having a sale where guitars are discounted by 25%. Melody Music is offering a $45 discount on the same guitar.
Explain which store is offering the better deal. Show work or provide an explanation to support your answer.
Sam’s Music Melody’s Music
25% of $240= $240 - $45 = $195 .25 x 240 = 60 Sam’s is offering the better deal. The $240- $60= $ 180 at Sam’s guitar is less expensive by $15.
10.) Which operation would you use to solve this equation?
18 = x ÷ 9
A.) Subtract 18 from both sides. B.) Add 18 to both sides. C.) Divide both sides by 9 D.) Multiply both sides by 9
11.) Alberto subtracts different negative integers from 12. Show three examples of what Alberto does. Explain what happens when you subtract different negative integers from 12.
12 - (-1) = 13 The difference increases or gets larger. When you subtract negative 12 - (-2) = 14 integers you actually add the opposite. The opposite of a negative 12 - (-3) = 15 integer is a positive integer, so you are adding a positive number to 13 making it bigger.
12.) Teri is simplifying the expression 8-2(4+3) 2 . Which computation should Teri do first? A.) subtract 2 from 8 B.) multiply 2 by 4 C.) add 4 and 3 D.) multiply 3 by 3 13.) Which operation should be completed first when simplifying the expression: 6 + 9(7- 2 2 ) ÷ 3
A.) 6 + 9 B.) 9 • 2 C.) 7 – 2 D.) 2 2
14.) Julius has created a number pattern. The first term in his pattern is 1. Then, he says, “the next number in my pattern can always be determined by multiplying the previous number by 2 then adding 3.”
Complete the table showing the first six numbers in Julius’ number pattern. Term 1 2 3 4 5 6 Number 1 5 13 29 61 125
.
Julius claims that 100 cannot be a number in his pattern. Explain whether Julius’ claim is valid and how you know. The number 100 can not be in the pattern. When you double a number it becomes even, when you add 3 to an even number it becomes odd. Our numbers are all odd. I continued the pattern past 100 and it was not included. That is why 100 can not be a number in the pattern. 15.) A sequence of numbers is shown.
0, 6, 18, 42, . . . Which describes how to find the next term?
A.) Add 6 to the previous term. B.) Add 12 to the previous term. C.) Add 6 to the previous term and then multiply the result by 3. D.) Add 3 to the previous term and then multiply the result by 2.
16.) Andrew buys books and videos in a store. He uses the expression 6b + 12v to find the cost of what he is buying, where b is the number of books and v is the number of videos he buys.
Use the expression to find the total cost of 5 books and 4 videos.
A.) $27 B.) $54 C.) $78 D.) $84 17.) A microwave oven costs $80. It is on sale for 25% off.
Which proportion can be used to find the final price (n) of the microwave oven?
75 n n A.) = B.) = 80 100 80 0.25
80 75 80 25 C.) = D.) = n 100 n 100
18.) The atomic radius of zinc is 0.0000672 cm. How is the atomic radius of zinc written in scientific notation?
A.) 6.72 x 10 -7 B.) 6.72 x 10 -5 C.) 6.72 x 10 -6 D.) 6.72 x 10 -9
19.) What is the value of the expression: 4( 3 2 - 12 ÷ 3)?
A.) 32 B.) 10 C.) 20 D.) 8
20.) Jared is making polygons from toothpicks that are 4 cm long. The chart relates the number of toothpicks to the perimeter of each polygon.
Number of Perimeter toothpicks (cm) 3 12 4 16 6 24 9 36 n
Which expression can be used to find the perimeter, in centimeters, if the number of toothpicks is represented by the variable n ?
A.) n + 24 B.) n ÷ 4 C.) 4n D.) n - 4 21.) An airline has 400 flights a day. Of these, 80% depart before 6 p.m. Flights leaving 3 before 6 p.m. depart on schedule of the time. 4
How many flights leaving before 6 p.m. depart on schedule each day?
A.) 155 B.) 240 C.) 300 D.) 320
22.) Simplify the expression: 20 – 4(7 – 3)
A.) 4 B.) 64 C.) -11 D.) 109
23.) Which expression represents the nth term in the sequence 2, 4, 6, 8, n … ?
A.) n – 2 B.) 2n 2 - 1 C.) 2n D.) 2 n
24.) The County Fair charges a $4 entrance fee. The cost of each ride is $3.
Which equation represents the cost (y) of getting into the fair and going on x number of rides?
A.) y = 4 + 3 + x B.) y = (4 + 3)x C.) y = 4 + 3x D.) y = 4x + 3
25.) Benjamin’s turtle lived for about 26,100,000 minutes. What is this number written in scientific notation?
A.) 2.61 x 10 6 B.) 2.61 x 10 -6 C.) 2.61 x 10 7 D.) 2.61 x 10 -7
26.) A shipping company uses a formula to determine the cost for shipping a package: C = 3.00 + .42p, where C is the cost of shipping and p is the number of pounds.
What is the cost of shipping a package that weighs 8 pounds?
A.) $3.00 B.) $3.42 C.) $6.36 D.) $7.21
27.) Which one of the following statements results in an answer of 63?
A.) 7(-9) B.) -567 ÷ (-9) C.) 567 ÷ (-9) D.) -7(9)
28.) What is the value of m 2 + 5 when m = 9?
A.) 86 B.) 23 C.) 81 D.) 14
29.) When rounding to the nearest whole number, which mixed number rounds to 18?
6 8 A.)18 B.)18 7 19
4 2 C.) 17 D.) 17 9 5
31.) Kwame bought three rose bushes and two maple trees. Each rose bush costs $13 dollars. Kwame spent a total of $61. Let t represent the cost of one maple tree.
Which equation is one way to represent this situation?
A.) 2t + 3(13) = 61 B.) 2t + 3t = 61 C.) 2t + 3t = 61t D.) 3t + 2(13) = 61
32.) Simplify the expression: 20 – 5(12 – 3)
A.) 25 B.) 19 C.) 31 D.) -25
33.) The product of two negative integers is always:
A.) zero B.) one C.) negative D.) positive
34.) The temperature at sunrise was -9 degrees F. At noon, the temperature was 18 ºF. What was the change in temperature between sunrise and noon.
A.) rose 5 degrees. B.) rose 19 degrees. C.) rose 27 degrees. D.) dropped 31 degrees.
35.) Choose the correct answer: 1.9 10-5
A.) .000019 B.) .000032 C.) .000018 D.) .000024
36.) The distance between Earth and the Sun is approximately 160,000,000 kilometers.
What is the distance written in scientific notation?
A.) 1.6 106 B.) 1.6 107 C.) 1.6 108 D.) 1.6 109
37.) Find the product. (11)(-6)
A.) -77 B.) -66 C.) -68 D.) -76
38.) A sequence of numbers is shown.
0, 3, 9, 21,…
Which describes how to find the next term?
A.) Add 9 to the previous term B.) Add 20 to the previous term C.) Add 24 to the previous term D.) Add 26 to the previous term
40.) The Amazon basin has received 27 inches of rain so far this year. This amount is 20% of the average yearly rainfall.
What is the average yearly rainfall in the Amazon Basin?
A.) 135 in. B.) 127 in. C.) 119 in. D.) 156 in.
41.) Joyce claims that 9 + (-4) is the same as 9 – 4.
Explain or show whether Joyce’s reasoning is correct and justify your response using pictures or words.
I showed three examples of pictures in class. A number line, color chips and pictures.
Joyce’s reasoning is correct. Adding a negative integer is like subtracting.
42.) Kristi is selling candy bars to raise money for her track team. Each of her neighbors bought 5 candy bars. She also sold 20 candy bars to her friends at school for a total of 75 candy bars. The equation 5x + 20 = 75 represents this situation where x is the number of neighbors.
How many neighbors bought candy bars from Kristi?
A.) 13 B.) 15 C.) 11 D.) 9
43.) During a quality control check, a factory found that 8% of the parts it produces are defective. The factory recently completed an order for 144,000 parts.
Approximately how many of the parts from the order are defective?
A.) 10,100 B.) 9,800 C.) 14,300 D.) 11,520
44.) This table shows the cost of renting a certain number of videos.
Number of Videos (n) Cost (c) 2 $5.50 3 $8.00 5 $13.00 Which rule describes the relationship between the cost (c) , in dollars, and the number of videos (n) rented?
A.) c = 2n + 3 B.) c = 2.5n + 0.5 C.) c = 2.25n + 1 D.) c = 2n + 2
45.) Which statement is always true about the sum of two negative integers?
A.) The sum is zero B.) The sum is always positive C.) The sum is always negative D.) The sum can be positive, negative, or zero.
47.) A pattern is shown.
1,3,9,27
State if the pattern is arithmetic, geometric, or neither and then state the rule.
The pattern is arithmetic. The rule is x +7.
48.) The product of a number and 6 is 336.
Which method can be used to find the value of this number?
A. Multiply the number by 336. B. Divide 336 by the number. C. Multiply the number by 6. D. Divide 336 by 6.
49.) Which shows the meaning of 57 ?
A. 5创 5 5 5 B. 5 + 5 + 5 + 5 + 5 + 5 C. 5 – 5 – 5 – 5 – 5 – 5 – 5 D. 5创 5 5 创 5 5 创 5 5
50. Jared wants to save $200 to buy a baseball bat. He saves 9 dollars each week, and his mother gives him an extra $0.25 for each dollar he saves.
Determine the number of weeks it will take Jared to save $200. Show your work or explain how you found the number of weeks.
It will take Jared 18 weeks to save $200. Jared will save $9 a week and his mother will give him an additional $2.25 ( 9 x $0.25 = $2.25). This will make a total saving of $11.25 for Jared per week. If you divide the $200 bat by $11.25 (200/11.25=17.8) you will get 17.8 weeks. Therefore Jared will need to save for 18 weeks to accumulate $200.