CT Algebra 1-1 Final Exam Review 2015 Units 1 - 6 · CT Algebra 1-1 Final Exam Review 2015 Units 1 - 6 e 5 Unit 3 Review Find the slope: 35. ... 54. 4 yx 55. y 4. CT Algebra 1-1 Final

CT Algebra 1-1 Final Exam Review 2015 Units 1 - 6

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Name: ___________________________________________ Algebra CT: Final Exam Dates: Thurs 12/17 and Fri 12/18

Unit 1 Review

Simplify:

1. Name the coordinates of each point:

a.) _______

b.) _______

c .) _______

d.) _______

e.) _______

2. Name the coordinate of each point. A_______

B_______

C_______

D_______

E________

3. Evaluate the expression: 4 ( 52

+ 2) 4. Evaluate the expression: 8 + 4(9 - 2)

a.) 42

b.) 36

c.) 84

d.) 28

5. Simplify: -7(2x – 4) – 8x

6. Simplify: 9x – 3(2x + 6)

a.) 3x + 6

b.) 3x – 6

c.) 3x + 18

d.) 3x – 18

Solve:

7. Solve: 3x – 9 = 30 8. Solve: 2x – 11 = 41

a.) 26

b.) 15

c.) 30

d.) 52

9. 4 2 3 10 8x x

10. 8 17 3 18x x

a.) 7

b.) 1

11

c.) 18

d.) -7


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Solve:

11. 5(3x – 1) = 17 + 4x

12. – (10 – x) = 3(x + 4)

a.) x = -7

b.) 11

2x

c.) x = -11

d.) x = 11

13. x – 2(3x – 9) = -7

14. 3x – 2(4 – x) = -23

a.) 15x

b.) 3x

c.) 3x

d.) 31x

15. 2

( 9) 4 203

x

16. 3

( 8) 11 234

x

a.) 32

3x

b.) 80

3x

c.) 24x

d.) 8x

17. 6

7 15

r

18. 87

16 232

m

a.) m = 1

6

b.) m = 1

8

c.) m = 6

d.) m = 8


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Solve:

19. 3 4 3

5 2

x

x

20. 3 2 5

3 7

x x

a.) x = -36

b.) x = -8

c.) x = 6

d.) x = -27

21. 2 4

3 5x

22. 3 13

4 2x

a.) x = 8

39

b.) x = 6

52

c.) x = 39

8

d.) x = 26

3

23. Solve for t: I = Prt 24. Solve for h: V = 3

1 r²h

a.) 2

3Vh

r

b.) 2

3

Vh r

c.) 2

3

V rh

d.) 2

3

rh

V

Unit 2 Review

Solve:

25. -x + 1 ≤ 3x + 21

26. -2x + 9 ≤ 5x - 12

a.) x < -3

b.) x ≥ 3

c.) x ≤ -3


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d.) x > -3

Solve:

27. 4 2x < 12

28. -5 < -x – 3 ≤ 7

a.) -10 ≤ x < -2

b.) -10 ≥ x ≥ 2

c.) -10 ≥ x > 2

d.) -10 ≤ x < 2

29. -2x + 6 > -8

30. 1133

2x

a.) x ≥ 16/3

b.) x ≤ 12

c.) x ≥ 12

d.) x ≥ 11

Graph:

31. -2(x – 4) ≤ 3x – 12

32. 5x + 15 > 7(x + 3)

33. An amusement park charges $12 for admission and 1.50 for each ride. You go the park with $36. Write an

inequality that represents the possible number of rides you can go on. What is the maximum number of rides you can go

on?

34. Tony works at a bike store and earns $200 every week plus $15 for every bike that he sells. Write an inequality that

can be used to determine the number possible number of bikes Tony must sell in one week if he wants to earn a minimum

of $500 for that week. What is the minimum number of bikes Tony must sell in one week to earn a weekly salary of

$500?


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Unit 3 Review

Find the slope:

35. Find the slope for the

relationship shown in the table.

X Y

-4 -25

-3 -21

2 -1

5 11

10 31

36. Find the slope for the relationship shown in the table.

a) -2

b) −1

2

c) 2

d) 1

2

X Y

-5 -7

-2 -13

3 -23

7 -31

11 -39

37. (-1, 4), (3, -2)

38. (7, 2), (-8, -3)

a.) 1

b.) 3

c.) -3

d.) 1

3

39. (-5, 2), (-5, 4)

40. (4, 6), (-2, 6)

a.) 1

b.) 0

c.) undefined

d.) 1

4

Find the slope:

41.

42.

43. 44.


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45. Find the slope of the line represented by the equation

y = 4

1x – 5.


y = -3 + 2(x – 4).

a.) 2

b.) -3

c.) -2

d.) 2x


x + 3y = 12.


6x – 2y = 9.

a.) 2

9

b.) 6

c.) 3

d.) -3

49. Find the x-intercept and the y-intercept for the

equation:

3x – 6y = -12

x-intercept: ______________________

y-intercept: ______________________

50. Find the x-intercept and y-intercept for the equation:

-x + 2y = 10

x-intercept: ______________________

y-intercept: ______________________

Which ordered pair is a solution to the given equation.

51. -3x – y = -9

a.) (0, 3)

b.) (-6, 9)

c.) (4, -3)

d.) (-2, -3)

52. 1

2 53

x y

a.) (-3, -2)

b.) (3, 2)

c.) (9, -1)

d.) (-6, 1)

Graph:

53. 2 3 12x y

54. 3

4y x

55. 4y


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Unit 4 Review

Write each equation in slope-intercept form using the information given: 56. 57.

58.

59.

60.

61.


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62. What is the equation of the horizontal line that

passes through the point (7, -3)?

63. What is the equation of the vertical line that passes

through the point (7, -3)?

a.) y = -3

b.) x = 7

c.) y = x

d.) y = 7x – 3

64. What is the equation of the line in slope-intercept

form that passes through the point (1, -7) and has a slope

of 3

2?

65. What is the equation of the line in slope-intercept form

that passes through the point (-5, -1) and has a slope of 4

3?

a.) 3

44

y x

b.) 3 19

4 4y x

c.) 3 17

4 4y x

d.) 3 11

4 4y x

66. What is the slope-intercept form of a line that passes

through (1, 7) and (3, -5)?

67. What is the slope-intercept form of a line that passes

through (-3, -5) and (6, -2)?

a.) 1

3y x

b.) 1

23

y x

c.) 1

43

y x


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d.) 1

83

y x

Write the equation in slope-intercept form.

68. y – 4 = – 3(x + 5) 69. 4x – 3y = 6

a.) -3y = -4x + 6

b.) y = 3

4x – 2

c.) y = 3

4 x + 2

d.) y = 3

4x + 6

70. A sales person for the local bike shop earns a

weekly pay of $220 plus $23 per sale. Write an equation in

slope-intercept form that gives the total weekly pay y in

terms of the number of sales x.

71. A sales person for the local computer shop earns a

weekly pay of $275 plus $35 per sale. Write an equation in

slope-intercept form that gives the total weekly pay y in

terms of the number of sales x.

a.) 275 35y x

b.) 35 275x y

c.) 35 275y x

d.) 35 275y x

72. Write an equation in slope-intercept form represented

by the given table.

x y

-4 -6

-2 2

0 10

2 18

4 26

73. Write an equation in slope-intercept form represented

by the given table.

a.) 1

13

y x

b.) 3 3y x

c.) 3 1y x

d.) 1

33

y x

x y

3 -6

2 -3

1 0

0 3

-1 6

74. Write the equation of the two parallel lines given in the graph below.


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75. Which set of equations represent the parallel lines.

a.)

23

3

34

2

y x

y x

b.)

23

3

24

3

y x

y x

c.)

23

3

24

3

y x

y x

d.)

23

3

24

3

y x

y x

76. A bathtub that is filled with water is being drained. After 5 minutes, the bathtub has a volume of water of 46

gallons. After 10 minutes, the bathtub’s volume is down to 21 gallons.

Use this information to complete problems a-e.

a) What is the slope in gallons per minute?

b) Write a linear equation, in point slope form.

c) Write a linear equation, in slope-intercept form.


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d) How many gallons of water are left in the tub after 13 minutes?

e) If the water continues to drain, after how many minutes will the bathtub have 8 gallons of water remaining?

f) What is the real-world meaning of the

1. Slope?

2. Y-intercept?

77. Tad’s brother gave Tad his collection of baseball cards when he left for college. After 5 years, the value of the

collection was $870. After 18 years, the collections value is up to $1260.

Use this information to complete problems a-e.

a) What is the slope in dollars per year?

b) Write a linear equation, in point slope form.

c) Write a linear equation, in slope-intercept form.


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d) How much will the collection be worth after 37 years?

e) If Tad continues to save, after how many years will the collection be worth $1500?

f) What is the real-world meaning of the

3. Slope?

4. Y-intercept?

Unit 5 Review

78. Solve by graphing:

x + y = 3

2x + y = 2

79. Use the graph to determine the solution to the system

of equations.


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Identify each system as having one solution, no solution, or infinitely many solutions.

80.

81.

82.

Solve the system of linear equations:

83. 15x – 5y = –20

–3x + y = 4

84. y = –2x + 10

y = 5x – 18

a.) (2, 3)

b.) (4, 3)

c.) (2, 4)

d.) (4, 2)

85. 5x – 4y = 23

7x + 8y = 5

86. -2x + 3y = -8

5x – 2y = -2

a.) (-2, -4)

b.) (-4, -2)


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c.) (2, -1)

d.) (-1, 2)

87. At what point do the lines 3x - 5y = -30 and

x - 5y = –20 intersect?

88. At what point do the lines -7x + y = -3 and

3x - 8y = 24 intersect?

a) (0, –3)

b) (4, –1)

c) (3, -4)

d) (2, 0)

Write the system of equations for each scenario.

89. Mrs. Gonzales bought centerpieces to put on each table at a graduation party. She spent $31.50. There are 8 tables

each requiring either a candle or a vase. Candles cost $3 and vases cost $4.25.

System ___________________

___________________

Write the system of equations for each scenario.

90. For a community bake sale, you purchased 12 pounds of sugar and 15 pounds of flour. Your total cost was $9.30.

The next day, at the same prices, you purchased 4 pounds of sugar and 10 pounds of flour. Your total cost the second day

was $4.60.

a.) 12 4 9.30

15 10 4.60

s s

f f

b.)

12 15 4.60

4 10 9.30

s f

s f

c.) 12 15 9.30

4 10 4.60

s f

s f

c.)

12 15 9.30

10 4 4.60

s f

s f

91. Stephanie is deciding between two cell-phone plans. The first plan has a $60 sign-up fee and costs $15 per month.

The second plan has a $20 sign-up fee and costs $35 per month.

System ___________________


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___________________

Solve:

92. Hannah is 17 years younger than Claire. The sum of their ages in years is 109. What are both of their ages?

93. Juanita has a jar containing 80 coins, all of which are either quarters of nickels. The total value of the coins is

$14.60. How many of each type of coin do they have?

Graph:

94. 2x – y ≥ 4

95. y < -x + 3

96. Write the inequality of the graph.

97. Which of the following ordered pairs is a solution to the

system of inequalities?


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a.) (1, 3)

b.) (-7, -7)

c.) (1, 5)

d.) (-5, -4)

98. Graph the system of inequalities and indicate the

solution

3 2

2

y x

y

99. Write a system of inequalities to describe the shaded

area of the graphs

Unit 6 Review

Simplify:

100. 7

9x

101. 3

53x

102.

43

7

x

y

103.

5 3

4

a b

ab

104.

54

20

y

y

105. 2 33

3x x x


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106. 3 6 2 24 5x y x y

a.) 6 1220x y

b.) 6 1220x y

c.) 5 820x y

d.) 5 820x y

107.

4 2 4 0

3

12 5

15 3

x y x y

y x

a.)

54

3

x y

b.)

134

3

x

y

c.)

517

18

x y

d.)

54

3

xy

108.

33 1

1 33

x y

x y

109.

2 3 3

3 5

24 2

8

xy x y

x y x

110. Anna makes an initial deposit of 800 in her savings

account. The account pays a 4% annual interest.

Let x represent the number of years the money has been in

the account and let y represent the balance in the account.

a) Write an exponential equation to model the account

balance for any given number of years.

b) What is the account balance after 6 years?

111. You buy a used truck for $10,500. Each year the truck

depreciates by 10%. Which equation below represents this

situation?

a.) 10,500(1 .1)xy

b.) .10 10,500y x

c.) 10,500(1 10)xy

d.) 10,500(1 .1)xy

For Problems 112 – 114, classify each graph as linear, exponential, or neither:

112.

Answer: ___________________

113.

Answer: ___________________

114.

Answer: ___________________


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CT Algebra 1-1 Final Exam Review 2015 Units 1 - 6 · CT Algebra 1-1 Final Exam Review 2015 Units 1 - 6 e 5 Unit 3 Review Find the slope: 35. ... 54. 4 yx 55. y 4. CT Algebra 1-1 Final