What Is the Sum of 24 and 3

Algebra I Name Midterm Review Packet

Chapter 3 Solve.

1. 5x – 9x = 16

2. 5x – (-4) = 5

3. 16 = 5(1 - x)

4. 12x – 49 = -105

5. 24x = 78

6. 12x – 6 = 7x – 21

x 1 7.  8 2

1 1 8. (2x + 4) = (8x – 16) 2 4

9. 5x + 20 = -5 Solve for y

10. 12x – 5 = y + 3

11. 5y – 4 + 3x = 12

12. 3x + y = 12

13. 5x + 3y = 7

14.Currently you have $200 in your saving account. Your older sister has $800 in her savings account You decide to save $5 of your allowance each week. Your sister decides to spend her whole allowance plus $10 each week. How long will it be before you have as much money as your sister?

Chapter 4 Write the equation of a line. 15.A horizontal line which passes through the point (5,8). 16.Sketch the lines on the coordinate plane, then find the point at which the lines intersect. Y

x = 2, y = 6

X 17.Write the equations for the horizontal and vertical lines that pass through the given point.

(7,-7) Horizontal line______Vertical line______

18.Decide which of the four points lies on the line. -5y – 8x = -44, a.(-2,7), b.(3,4), c.(4,-6), d.(-5,-5)

Use a table of values to sketch the graph.

19.y = 5x +2 Y

20.-4y – 8x = 12 Y

21.5x + 2y = 6 Y

X 22.Find the x and y intercepts of the linear equation, and use them to make a quick graph: 5x + 2y = 30 Y

23.4y + 2x = 24 Y

24.y = 4x – 8 Y

1 25.y = x + 7 2 Y

X Find the slope of the line given these two points on the line: 26.(-4,7) (6,9)

27.(5,8) (5,4)

28.(2,-1) (6,-1)

29.Find the slope of the line. Y

Name the slope and the y-intercept of each line. 30.y = 7x + 2

31.y = -6x +1

32.y = x – 8

33.3y = 5x + 9

34.y – 3x + 8 = 0

35.4y + 2x – 6 = 0

Graph the line that goes through the point and has the given slope. 36.(4,6), m = 2 Y

37.(-3,-1), m = 0 Y

Are these lines parallel? 38.y = 6x – 2 6x + y = 9

39.2x + 4y –1 = 0 1 y = - x – 3 2 40.8x – 2y = 20 y = 4x –1

41.10x – 5y = -12 y = -2x

Chapter 5 Write the equation of each line in slope-intercept form.

42.(3,5) m = -1 ______

43.(0,4) (-1,3) ______

44.(-8, 5) (-24, 3) ______

Write the equation of each line in standard form. 45.(0, -8) m = 3 ______

46.(-5, -6) m = -2 ______

47.(1, 3) (5, -4) ______

2 4 48.m = and the y-intercept is ______3 5  Chapter 6

Solve the inequality then graph. 49. 30x – 10 < 50

50. 2 (3x + 4) < 3 (-4x – 3)

1 51. -3 (2 – x) > x + 2 2

3 52. (-8x + 12)  -2x – 7 4

1 53. (x + 10)  5

54. 2x + 3x + 5  14

55. 5x + 6 – 2x < -4x – 7 + 9x

56. –x + 6 < -4x - 5 57. -15  -3x + 2

58. –x + 4 >-(-3x – 5)

Write an inequality and solve.

59. You are placing an order for blank CD’s through the mail.

Each type costs $4.00, including tax. Shipping and

handling costs are $3.00 for the entire order. If you

can’t spend more than $35.00, how many CD’s can you

order.

Solve.

60.) Find 3 consecutive integers whose sum is 99.

61.) The sum of two consecutive even integers is -54. Find the integers

63.) The sum of two consecutive integers is 105. Find the integers

63.) Find two consecutive odd integers if twice the larger, increased by the smaller, equals 85.

64.) Find three consecutive even integers if their sum, decreased by the third, equals -22 65.) The sum of 8 times a number and 12 is -84. What is the number?

66.) Three times a number, decreased by 3, is -18. Find the number.

67.) The perimeter of a square is 196m. How long is each side of the square?

68.) The perimeter of a rectangle is 96m. If the width of the rectangle is 12m, find its length.

69.) The length of a rectangle is 5 times the width. The perimeter is 36 ft. Find the length and the width.

70.) Find the time it will take a cyclist to travel 40 miles at average speed of 12.5 mi/h.

71.) Roberto’s age is ¾ of his brother’s age and Roberto is 45 years old, how old is his brother?

72.) Jillian is twice as old as Andrew, Jillian is 24 years old, how old is Andrew?

73.) Two buses leave from the same station at different times. Bus 2 leaves 2 h later than Bus 1. Bus 1 is traveling at 40 mi./h and Bus 2 is traveling at 60 mi./h. How long will it take Bus 2 to Overtake Bus 1? RATE X TIME = DISTANCE

74.) Two cyclists simultaneously start in opposite directions down a straight road, one at 22 km/h and the other at 28 km/h. How long will they have ridden by the time they are 175 km apart?

RATE X TIME = DISTANCE