Name: ________________________ Class: ___________________ Date: __________ ID: A

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Algebra 1 Semester 1 Practice Test

1. To find the mileage, or how many miles per gallon a car can travel, you can use the expression mg , where m is the

distance in miles and g is the number of gallons of gas used. Find the mileage for a car that travels 350 miles on 14 gallons of gas.

Simplify:

2. 3 + 3( 3 + 4)3a. 1032 b. 9264 c. 2058 d. 91

3. Simplify 7 7 + 15 6 2.a. 50 b. 61 c. 53.5 d. 29

4. How many small squares are required to form the 7th figure in the sequence?

a. 34 b. 28 c. 70 d. 50

5. The cost of renting a canoe is $5.25, plus $0.50 per hour for the time that the canoe is out. Which equation could be used to find C, the cost in dollars for using the canoe for H hours?a. C = 5.25 + 0.50H c. C = 5.25 0.50Hb. C = (5.25 + 0.50)H d. C + 0.50H = 5.25

6. Make an input-output table for the function y = 2x + 4. Use x-values of 1, 2, 3, 4, and 5.

a.Input, x 1 2 3 4 5

Output, y 6 8 10 12 14c.

Input, x 1 2 3 4 5Output, y 6 16 36 76 156

b. Input, x 1 2 3 4 5Output, y 5 7 9 11 13

d. Input, x 1 2 3 4 5Output, y 5 6 7 8 9

Name: ________________________ ID: A

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7. Which function rule matches the input-output table?

Input, x 1 2 3 4 5Output, y 7 11 15 19 23

a. y = 3 + 5x b. y = 3 + 4x c. y = 4 + 3x d. y = 2 + 4x

8. A bag of chips costs $2.33. Your total grocery bill, b, is a function of the number of bags of chips, n, you purchase. Write an equation to represent this function.

a. n = 2.33b c. b2.33 = n

b. b = 2.33n

d. b = 2.33n

9. Which equation corresponds to the values in the table below?

Input, x 1 2 3 4 5Output, y 17 26 35 44 53

a. y = 8x + 9 b. y = 9x + 7 c. y = 9x + 8 d. y = 10x + 8

10. Does the input-output table represent a function? If it does represent a function, list the domain and range. If it does not represent a function, explain why.

Input 1 2 3 4Output 6 7 8 9

Determine whether the relation is a function.

11. 4, 1

, 0, 0

, 4, 0

, 0, 4

Name: ________________________ ID: A

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12. The table below shows the height of a plant over time.

Bamboo HeightTime (Week) Height

1 2.252 4.633 6.004 8.635 10.25

Find the scatter plot that shows the relationship between time and the height of the plant.

a. The height of the plantincreases over time.

c. The height of the plantincreases over time.

b. The height of the plantdecreases over time.

d. The height of the plantdecreases over time.

Name: ________________________ ID: A

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13. Employees earn $5 per hour plus $0.75 for every unit they produce per hour. Which of the following shows both an equation in which y represents the employee's wages for producing x units per hour, and the graph of the wages earned for producing 2, 5, 8, and 10 units per hour?a. y = 5 + 0.75x c. y = 5x + 0.75

b. y = 5x + 0.75 d. y = 5 + 0.75x

Estimate the square root to the nearest integer.

14. 7a. 3 b. 3 c. 49 d. 49

15. Which of the following is an irrational number?a. 5 c. 0.3858585...

b. 18 d. 64

Order the numbers from least to greatest.

16. 3.6, 92 , 13, 312 ,

94

a.94 , 13 , 3

12 , 3.6,

92 c.

94 , 3

12 , 13 , 3.6,

92

b. 3.6, 94 , 13 , 312 ,

92 d.

94 , 3

12 , 3.6, 13 ,

92

Name: ________________________ ID: A

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17. 0.89, 1719 , 0.81 , 2 2 , 1.5

Tell whether the number is rational or irrational. Give a reason for your answer.

18. 15

19. 16964

20. 4.34433444333 . . .

Solve the equation.

21. 18 = m 6a. 22 b. 108 c. 12 d. 24

22. x5 = 15

a. 75 b. 75 c. 3 d. 3

Solve the equation.

23. 10x + 2 = 72a. 74 b. 4 c. 7 d. 70

24. 216 y 65 = 0

a. 520 b. 2080 c. 520 d. 2080

Solve the equation.

25. 3x + 25 + x + 21 = 2a. 22 b. 3 c. 22 d. 3

26. 8x 9 = x + 9

a.187 b.

187 c.

718 d.

18

27. 3x 3 = x + 4

28. x 7 = 2x 5

29. 18x 2 =

43

Name: ________________________ ID: A

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30. 3x 4 =

5x

31. y2 =

624

a. 2 b. 14 c.12 d. 12

32. A rental car agency charges $17 per day plus $.07 per mile to rent a certain car. Another agency charges $22 per day plus $.05 per mile to rent the same type of car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?a. 195 miles per day c. 2500 miles per dayb. 250 miles per day d. 1950 miles per day

33. A bus travels 300 miles on 12 gallons of gas. At this rate, how many gallons will it need to travel 650 miles?a. 25 gallons c. 5.5 gallonsb. 26 gallons d. 28 gallons

34. Solve z = 913 c for c.

a. c =913 z c. c =

913 z

b. c = 139 z d. c =139 z

35. Solve y = 58 b + 10 for b.

a. b = 85 y + 16 c. b =58 y 10

b. b = 85 y 16 d. b = 58 y + 10

36. What are the coordinates of point A?

a. (3, 3) c. (3, 3)b. (3, 3) d. (3, 3)

Name: ________________________ ID: A

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Graph the equation.

37. y = 1a. c.

b. d.

Name: ________________________ ID: A

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Graph the equation.

38. 4x 8 = 0a. c.

b. d.

39. What is the range of the function in the graph?

a. 5 y 35b. 0 y 5c. 0 x 5d. 5 x 35

40. What is the y-intercept of the line with the equation 4x + 9y = 108?a. 12 b. 12 c. 27 d. 27

Name: ________________________ ID: A

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41. Graph the linear equation 3x + 6y = 18 by finding the x- and y-intercepts.a. c.

b. d.

42. Find the slope of the line passing through the points A(1, 1) and B(4, 5).a.

65 b.

43 c.

34 d.

56

43. Find the slope of the line that contains 8, 2 and 7, 4

.

a. 25 b.

52 c. 0 d. undefined

Name: ________________________ ID: A

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44. Which graph below would match the situation described?A car travelling at 23 mi/h accelerates to 45 mi/h in 5 seconds. It maintains that speed for the next 5 seconds, and then slows to a stop during the next 5 seconds.a. c.

b. d.

45. Find the slope and y-intercept of the line with the equation 9x + 3y = 54.a. m = 3, b = 18 c. m = 3, b = 18b. m = 18, b = 3 d. m = 18, b = 3

46. In the equation y = 2x

, does y vary directly with x?

Name: ________________________ ID: A

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47. A monthly phone bill, b m( ) , consists of a $28 service fee plus $0.13 per minute, m, of long distance calls, given by the function b m( ) = 28 + 0.13m.Draw a graph for up to and including 120 minutes of long distance calls made in a month. Estimate the bill if 84 minutes of long distance calls are made.

a. a.

b. $20

c. a.

b. $39

b. a.

b. $29

d. a.

b. $45

48. Choose an equation, in slope-intercept form, of a line with a slope 7 and a y-intercept of 9.a. y = 7x 9 c. x = 7y 9

b. y = 7x + 9 d. y = 17 x 9

Name: ________________________ ID: A

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49. Write an equation in slope-intercept form of the graph.

a. y = 83 x 4 c. y = 38 x 4

b. y = 83 x 4 d. y =38 x 4

50. The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?a. y = 15x 95; $1060 c. y = 15x + 95; $1250b. y = 95x + 15; $7330 d. y = 95x 15; $7300

51. Write an equation, in slope-intercept form, that passes through point 4, 3 with slope 3.

a. y = 3x + 9 c. y = 3x + 9b. y = 3x 15 d. y = 3x 15

52. Write an equation of the line containing the points 6, 19 and 15, 28

.

a. x y = 13 c. 5x 2y = 52b. x y = 13 d. 2x 5y = 195

53. Write an equation of the line that passes through 5, 1 and is parallel to the line y = 4x 6.

a. y = 4x + 19 c. y = 5x + 19b. y = 4x 6 d. y = 5x 6

54. Write an equation of the line that goes through the point 3, 7 and is perpendicular to the line y = 3x + 6.

a. y = 13 x + 6 c. y = 3x + 2

b. y = 13 x + 6 d. y = 3x + 16

Name: ________________________ ID: A

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Solve the inequality. Then graph its solution.

55. y + 5 2a. y 3

b. y 3

c. y 7

d. y 7

Graph the solution.

56. x 8 4a.

b.

c.

d.

Name: ________________________ ID: A

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Solve and graph.

57. 11w > 11a. w < 1

b. w > 1

c. w 1

d. w 1

Name: ________________________ ID: A

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Solve and graph.

58. 7 4x 3( ) 7a. x 1

b. x 1

c. x < 1

d. x 1

Solve the inequality.

59. 4x +4 2(x 2). Graph your solution.a.

b.

c.

d.

Name: ________________________ ID: A

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Solve. Graph your solution.

60. 4 2x + 10 4a. 7 x 3

b. x 6 or x 14

c. 6 x 14

d. x 7 or x 3

61. x + 3 4 and 2x < 10a. 5 x < 1

b. 5 < x 1

c. 2 < x 1

d. 2 x < 1

Solve.

62. x 4| | = 9a. The solutions are 5 and 13. c. The solutions are 13 and 5.b. The solution is 5. d. The solution is 13.

Name: ________________________ ID: A

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Solve. Graph your solution.

63. x + 3| | 3a. x 6 or x 0

b. 6 < x < 0

c. x < 6 or x > 0

d. 6 x 0

64. | 4x 2 | < 3a.

14 < x 54

Name: ________________________ ID: A

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65. Solve x + 6| | 1 and graph your solution.a.

b.

c.

d.

ID: A

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Algebra 1 Semester 1 Practice TestAnswer Section

1. 25 2. A 3. B 4. A 5. A 6. A 7. B 8. D 9. C 10. Yes, the table does represent a function. The collection of the input values is the domain: 1 2 3 and 4; and the

collection of output values is the range: 6 7 8 and 9. 11. The relation is not a function. 12. A 13. A 14. A 15. A 16. C

17. 1719 , 0.89, 0.81 , 1.5, 2 2

18. Irrational; Decimal form neither terminates or repeats.

19. Rational; It can be written as 138 .

20. Irrational; It neither terminates or repeats. 21. D 22. A 23. C 24. A 25. A 26. A

27. 72

28. 23

29. 312 30. 10 31. C 32. B 33. B 34. D 35. B 36. A

ID: A

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37. A 38. D 39. A 40. A 41. A 42. A 43. A 44. C 45. A 46. no 47. C 48. A 49. A 50. C 51. A 52. A 53. A 54. A 55. A 56. A 57. A 58. A 59. A 60. A 61. B 62. C 63. A 64. A 65. A