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

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Coordinate Algebra A Final Exam Review

Multiple Choice

Identify the choice that best completes the statement or answers the question. Do NOT write on the test. You may use

your calculator.

____ 1. Salvador’s class has collected 88 cans in a food drive. They plan to sort the cans into x bags, with an equal

number of cans in each bag. Write an expression to show how many cans there will be in each bag.a. 88 – x c. 88 + x

b. 88x d.88

x

____ 2. Isabel reads 15 books from the library each month for y months in a row. Write an expression to show how

many books Isabel read in all. Then, find the number of books Isabel read if she read for 12 months.

a. 15 + y; 27 books c. 15y; 180 books

b. 15 – y; 27 books d.15

y; 180 books

____ 3. Evaluate the expression 2m + n for m = 7 and n = 9.

a. 25 c. 23

b. 18 d. 32

____ 4. Solve 2

10b = 99.

a. b = 20 c. b = 10

b. b = 495 d. b = 992

10

____ 5. If 4x = 32, find the value of 35 − 5x.

a. –5 c. –3

b. 3 d. 5

____ 6. Solve the proportion 5

6=

x

30.

a. x = 0.03 c. x = 26

b. x = 36 d. x = 25

____ 7. Solve 44 = 14 − 2a.

a. a = 15 c. a = –29

b. a = 29 d. a = –15

____ 8. Solve 43a + 10 − 26a = 27.

a. a = 1 c. a = −17b. a = 17 d. a = −1

____ 9. Solve 50q − 43 = 52q − 81.

a. q = 38 c. q = −38

b. q = −19 d. q = 19

Name: ________________________ ID: A

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____ 10. Solve n − 8 + n = 1 − 4n.

a. n = −41

2c. n = −1

1

6

b. n = 11

2d. n = 3

1

2

____ 11. Describe the solutions of 6 + y < 10 in words.

a. The value of y is a number less than or equal to 3.

b. The value of y is a number less than 4.

c. The value of y is a number equal to 3.

d. The value of y is a number greater than 4.

____ 12. To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team. Graph the solution.

a. n ≤ 500

b. n ≥ 500

c. n > 500

d. n < 500

____ 13. Solve the inequality n + 6 < –1.5 and graph the solutions.

a. n < 4.5

b. n < –7.5

c. n < –7.5

d. n < 4.5

Name: ________________________ ID: A

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____ 14. Solve the inequality x

8> 3 and graph the solutions.

a. x > 3

8

b. x > 24

c. x > 24

d. x > 24

____ 15. Solve the inequality z + 8 + 3z ≤ –4 and graph the solutions.

a. z ≥ 1

b. z ≤ 1

c. z ≥ –3

d. z ≤ –3

Name: ________________________ ID: A

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____ 16. Solve the inequality and graph the solution.−3x + 2.5x ≤ 1.5(x + 4)

a. x ≥ 3

b. x ≤ −3

c. x ≥ −3

d. x ≤ 3

____ 17. Which of the following is a solution of x − 6 < 6 AND x + 4 ≥ −1?

a. 2 c. 14

b. –6 d. 12

____ 18. Find the x- and y-intercepts.

a. x-intercept: 10, y-intercept: 5 c. x-intercept: –10, y-intercept: 5

b. x-intercept: 5, y-intercept: 10 d. x-intercept: 10, y-intercept: –5

____ 19. Find the x- and y-intercepts of −x + 2y = 8.

a. x-intercept: –8, y-intercept: 4 c. x-intercept: −11, y-intercept: 4

b. x-intercept: –8, y-intercept: 3 d. x-intercept: −11, y-intercept: 3

Name: ________________________ ID: A

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____ 20. Find the slope of the line.

a.2

3c. −

3

5

b. −2

3d.

3

2

____ 21. Find the slope of the line.

a. 0 c. undefined

b. 10 d.7

3

Name: ________________________ ID: A

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____ 22. Tell whether the slope of the line is positive, negative, zero, or undefined.

a. negative c. positive

b. zero d. undefined

Name: ________________________ ID: A

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____ 23. Graph the line with the slope 1

3 and y-intercept –2.

a. c.

b. d.

____ 24. Write the equation that describes the line in slope-intercept form.

slope = 4, point (3, –2) is on the line

a. y = 4x + 14 c. y = 4x + 10

b. y = 4x – 14 d. y = 4x – 2

Name: ________________________ ID: A

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____ 25. Write the equation 4x + 8y = −24 in slope-intercept form. Then graph the line described by the equation.

a. y = −1

2x − 3 c. y = −

1

2x − 3

b. y = −1

2x − 3 d. y = −

1

2x − 3

Name: ________________________ ID: A

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____ 26. Graph the line described by the equation y − 2 = 5

3(x − 3).

a. c.

b. d.

____ 27. Which expression represents the perimeter of the triangle below?

a. 3 + 4m c. 5 + 4m

b. 3 + 6m d. 5 + 6m

____ 28. If x = –1, in which quadrant does the point (2x, –x) lie?

a. Quadrant I c. Quadrant III

b. Quadrant II d. Quadrant IV

Name: ________________________ ID: A

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____ 29. The scoring for a football game by quarters was recorded as the ordered pairs {(1, 7), (2, 10), (3, 21), (4, 21}.

Which of the following statements is true?a. The relation is a function with domain

{1, 2, 3, 4}.c. The relation is not a function.

b. The relation is a function with domain {7, 10, 21}.

d. The relation is a function with domain

1 ≤ x ≤ 4{ }

____ 30. A local video store has two new renting plans. Plan A charges a $10 monthly fee and $2 for every movie rented. Plan B charges $40 per month but then each movie rented is only 25¢. How many movies must be rented in a month to make plan B the cheaper option?

a. 17 c. 28

b. 18 d. 29

____ 31. Solve the system 3x + 4y = −36

−2x + 4y = −16

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

by graphing.

a. (4, − 6) c. (4, 6)

b. (−4, 6) d. (−4, − 6)

Name: ________________________ ID: A

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____ 32. The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The Game Bank

charges an annual fee of $17 plus $2.50 per game. For how many game rentals will the cost be the same at

both stores? What is that cost?

a. 4 games; $27 c. 3 games; $22

b. 6 games; $38 d. 2 games; $16

____ 33. If the pattern in the table continues, in what month will the number of sales of CDs and movie tickets be the same? What number will that be?

Total Number Sold

Month 1 2 3 4

CDs 700 685 670 655

Movie tickets 100 145 190 235

a. Month 10; 550 c. Month 8; 580

b. Month 9; 580 d. Month 11; 550

____ 34. Solve 3x + y = −3

y = x + 5

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

by substitution. Express your answer as an ordered pair.

a. ( 3, −2) c. (−4

3, 1)

b. (−2, 3) d. (−8

3, –3)

____ 35. Solve 2x − 3y = 11

3x + 3y = 9

Ï

Ì

Ó

ÔÔÔÔÔÔÔÔÔÔÔÔÔ

by elimination. Express your answer as an ordered pair.

a. (–1, 4) c. (–2, –5)

b. (4, –1) d. (9, 2.33)

____ 36. At the local pet store, zebra fish cost $2.10 each and neon tetras cost $1.85 each. If Marsha bought 13 fish for

a total cost of $25.80, not including tax, how many of each type of fish did she buy?

a. 5 zebra fish, 8 neon tetras c. 8 zebra fish, 5 neon tetras

b. 7 zebra fish, 6 neon tetras d. 6 zebra fish, 7 neon tetras

____ 37. The sum of the digits of a two-digit number is 8. If the number is multiplied by 4, the result is 104. Write and solve a system of equations. Find the number.

a.x + y = 8

4(x + y) = 104

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

The number is 35.

c.x + y = 8

4(2x + y) = 104

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

The number is 18.

b.x + y = 8

4(10x + y) = 104

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

The number is 17.

d.x + y = 8

4(10x + y) = 104

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

The number is 26.

Name: ________________________ ID: A

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____ 38. Solve y = −x + 8

x + y = 7

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

.

a. This system has infinitely many solutions.

b. This system has no solutions.

c. (1

2,

15

2)

d. (−1

2,

17

2)

____ 39. Temperature changes throughout the hours of a day. Early in the morning, temperature increases slowly. At noon, the temperature rises sharply. During the afternoon, the temperature stays the same for several hours. As night falls, the temperature decreases slightly. Choose the graph that best represents this situation.

a. c.

b. d.

Name: ________________________ ID: A

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____ 40. Jamie throws a ball up into the air. Sketch a graph for the situation that describes the distance of the ball from

the ground at every second since it was thrown up. Tell whether the graph is continuous or discrete.a.

The graph is continuous.

c.

The graph is continuous.

b.

The graph is continuous.

d.

The graph is continuous.

Name: ________________________ ID: A

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____ 41. Write a possible situation for the graph.

a. A pool is filled with water, and people are having fun swimming and jumping in and out of the pool.

b. A pool is filled with water using one valve. A little time after the pool is filled to its capacity, the pool needs to be emptied because of some problems. Then, the pool is refilled immediately, using two valves this time.

c. A pool is filled with water using one valve. Then, immediately after the pool is filled to its capacity, the pool needs to be emptied because of some problems. The pool is refilled right after it is completely empty, using two valves this time.

d. A pool is filled with water. A little time after the pool is filled to its capacity, the pool needs to be emptied because of some problems. Then, the pool is refilled immediately at the same rate as before.

____ 42. Which situation is best represented by the graph?

a. An airplane starts slowly on the runway, and then quickly takes off before finding a nice cruising speed.

b. A swimmer starts at a steady pace, slows down to a stop, and then starts up swimming again, but at a slower pace than when she first started.

c. After a ball is thrown into the air, it falls back to the ground and bounces.

d. A car starts on flat ground and drives quickly up a hill, and then it keeps driving.

Name: ________________________ ID: A

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____ 43. Express the relation for the math test scoring system {(1, 2), (2, 3), (3, 5), (4, 10), (5, 5)} as a table, a graph

and a mapping diagram.

Name: ________________________ ID: A

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a.

Problem Point value

1 2

2 3

3 5

4 5

5 10

b.

Problem Point value

1 2

2 3

3 5

4 10

5 5

c.

Problem Point value

2 1

3 2

5 3

10 4

5 5

Name: ________________________ ID: A

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d. Cannot determine. The set of ordered pairs is not a relation, because the elements 3 and 5 in the domain are both paired with the element 5 in the range.

____ 44. Give the domain and range of the relation.

x y

4 9

6 13

0 0

–5 –9

a. D: {–5, 0, 4, 6}; R: {–9, 0, 9, 13} c. D: {4, 6, –5, 9, 13, –9}; R: {0}

b. D: {–5, 4, 6}; R: {–9, 9, 13} d. D: {–9, 0, 9, 13}; R: {–5, 0, 4, 6}

____ 45. Give the domain and range of the relation.

a. D: 0 ≤ x ≤ 7; R: 1 ≤ y ≤ 7 c. D: 1 ≤ x ≤ 7; R: 1 ≤ y ≤ 6

b. D: 1 ≤ x ≤ 6; R: 1 ≤ y ≤ 7 d. D: 2 ≤ x ≤ 6; R: 4 ≤ y ≤ 7

____ 46. Give the domain and range of the relation.

a. D: {–2, 4, 5, 9}; R: {0, 3, 8} c. D: −2 < x < 9; R: 0 < x < 8b. D: {0, 3, 8}; R: {–2, 4, 5, 9} d. D: 2 < x < 9; R: 0 < x < 8

Name: ________________________ ID: A

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____ 47. Give the domain and range of the relation. Tell whether the relation is a function.

a. D: –3 ≤ x ≤ 3; R: –2 ≤ y ≤ 2

The relation is not a function.

c. D: –3 ≤ x ≤ 3; R: –2 ≤ y ≤ 2

The relation is a function.

b. D: –2 ≤ x ≤ 2; R: –3 ≤ y ≤ 3

The relation is not a function.

d. D: –2 ≤ x ≤ 2; R: –3 ≤ y ≤ 3

The relation is a function.

Name: ________________________ ID: A

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____ 48. Which graph represents a function?

a. c.

b. d.

____ 49. For f(x) = −4x + 2, find f(x) when x = –1.

a. –4 c. 2

b. –2 d. 6

____ 50. Brian has 64 flowers for a big party decoration. In addition, he is planning to buy some flower arrangements

that have 18 flowers each. All of the arrangements cost the same. Brian is not sure yet about the number of

flower arrangements he wants to buy, but he has enough money to buy up to 5 of them. Write a function to

describe how many flowers Brian can buy. Let x represents the number of flower arrangements Brian buys. Find a reasonable domain and range for the function.

a. f(x) = 18x + 64; D: {0, 1, 2, 3, 4}; R: {64, 82, 100, 118, 136}

b. f(x) = 18x + 64; D: {0, 1, 2, 3, 4, 5}; R: {64, 82, 100, 118, 136, 154}

c. f(x) = 64x + 18; D: {1, 2, 3, 4}; R: {82, 100, 118, 136, 154}

d. f(x) = 64x + 18; D: {5}; R: {154}

Name: ________________________ ID: A

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____ 51. Graph −2x + 4y = 4 for the domain D: {–8, –4, 0, 4, 8}.

a. c.

b. d.

____ 52. Use the graph of the function f(x) = 2x + 2 to find the value of y when x = 2.

a. –2 c. 6

b. 7 d. 0

Name: ________________________ ID: A

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____ 53. Translate the point (1, 1) right 2 units and down 2 units. Give the coordinates of the translated point.

a. c.

b. d.

____ 54. Fabric that regularly sells for $4.90 per square foot is on sale for 10% off. Write an equation that represents the cost of s square feet of fabric during the sale. Write a transformation that shows the change in the cost of fabric.

a. 4.90s − 10; (x, y) → (x, 0.1y) c. 4.90s − 10; (x, y) → (x, 0.9y)

b. (4.90 − 0.49)s; (x, y) → (x, 0.1y) d. (4.90 − 0.49)s; (x, y) → (x, 0.9y)

____ 55. Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and

the next three terms in the sequence.

–5, –11, –17, –23, –29, . . .

a. Not an arithmetic sequence

b. Yes; common difference –7; next three terms are –36, –43, –50

c. Yes; common difference –6; next 3 terms are –35, –41, –47

d. Yes; common difference 6; next three terms are –23, –17, –11

____ 56. Find the 20th term in the arithmetic sequence –4, 1, 6, 11, 16,...

a. 96 c. 95

b. 72 d. 91

Name: ________________________ ID: A

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____ 57. Let g(x) be the transformation, vertical translation 3 units down, of f(x) = −4x + 8. Write the rule for g(x).

a. g(x) = −4x + 8 c. g(x) = −4x + 5

b. g(x) = −4x − 3 d. g(x) = 3x + 8

____ 58. Let g(x) be a horizontal compression of f(x) = 3x + 5 by a factor of 1

2. Write the rule for g(x) and graph the

function.

a. g(x) = 2x + 5 c. g(x) =3

2x + 5

b. g(x) =3

2x +

5

2d. g(x) = 6x + 5

Name: ________________________ ID: A

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____ 59. Give two different combinations of transformations that would transform f x( ) = 5x + 3 into g x( ) = 15x − 12.

a. 1. A horizontal stretch by a factor of 3, followed by a vertical shift 15 units down.

2. A vertical compression by a factor of 1

3, followed by a vertical shift 21 units down.

b. 1. A vertical shift 15 units down, followed by a horizontal compression by a factor of 1

3.

2. A vertical stretch by a factor of 3, followed by a vertical shift 21 units down.

c. 1. A horizontal compression by a factor of 1

3, followed by a vertical shift 15 units down.

2. A vertical shift 21 units down, followed by a vertical stretch by a factor of 3.

d. 1. A horizontal shift 15 units left, followed by a horizontal compression by a factor of 1

3.

2. A vertical stretch by a factor of 3, followed by a vertical shift 21 units down.