Free Printable Algebra 2 Cumulative Review

1.

What is the correct transformed equation for the graph?

a)

y = log(x - 4)

b)

y = log(x) - 4

c)

y = log(x + 4)

d)

y = log(x) + 4

2.

What is the equation of the asymptote on the graph of $y=\log_5\left(x+3\right)+5$ ?

a)

x = -3

b)

x=5

c)

y= -3

d)

y=5

3.

Where would the asymptote be for this graph?

a)

y = 4

b)

y = -4

c)

x = 3

d)

x = -3

4.

Does this data show exponential or linear behavior? What's the equation?

a)

linear, $y=5x+5$

b)

exponential, $y=5^x$

c)

linear, $y=\frac{1}{5}x+1$

d)

exponential, $y=2^x+5$

5.

Does the data show exponential or linear behavior? What's the equation?

a)

exponential, $y=3^x$

b)

linear, $y=3x+3$

c)

linear, $y=9x+9$

d)

exponential, $y=9^{-x}+27$

6.

Solve:
5^{1/2x + 4}= 125

a)

1

b)

2

c)

-2

d)

14

7.

Solve:
2^4x+1 = √2

a)

-1/8

b)

1/8

c)

0

d)

-1/4

8.

$5^{x-24}=5^{4x}$

Solve the exponential equation:

a)

x = 3

b)

x = -8

c)

x = -6

d)

x = -5

9.

2 * 4^{3x – 6}– 8 = 120

a)

x = 3

b)

x = 4

c)

x = 2.9

d)

x = 8

10.

Which graph matches this equation?

a)

b)

c)

d)

11.

Which of the following best describes this sequence?

\left\{2,\ -4,\ \ 8,\ -16,\ 32,\ ...\right\}

a)

Arithmetic

b)

Geometric

c)

Neither

d)

Both

12.

Which of the following best describes this sequence?

\left\{32,\ 20,\ 8,\ -4,\ ...\right\}

a)

Arithmetic

b)

Geometric

c)

Neither

d)

Both

13.

Which explicit formula describes the sequence?

-1,\ 3,\ 7,\ 11,\ ...

a)

$a_n=-4+\left(n-1\right)\left(-1\right)$

b)

$a_n=\left(-4\right)\left(-1\right)^{\left(n-1\right)}$

c)

$a_n=-1+\left(n-1\right)\left(-4\right)$

d)

$a_n=\left(-1\right)\left(-4\right)^{\left(n-1\right)}$

14.

What is the formula for the nth term of the sequence 3, -6, 12, -24, 48, ...?

a)

$a_n=-2\left(3\right)^n$

b)

$a_n=3\left(-2\right)^n$

c)

$a_n=-2\left(3\right)^{\left(n-1\right)}$

d)

$a_n=3\left(-2\right)^{\left(n-1\right)}$

15.

Identify if it is Arithmetic Sequence or Geometric Sequence or Neither

a)

Arithmetic

b)

Geometric

c)

Neither

16.

Given the table, determine the equation of the function.

a)

y = 4x + 1

b)

y = 1x + 4

c)

y = -4x + 1

d)

y = -1x + 4

17.

Given the table, Write the general term of the sequence that represents the table.

a)

$a_n=4\left(4\right)^n$

b)

$a_n=4\left(4\right)^{n+1}$

c)

$a_n=4+4n^{ }$

d)

$none\ of\ these$

18.

State if it is an Arithmetic or geometric or neither

a)

Arithmetic

b)

Geometric

c)

Neither

d)

Both Arithmetic and Geometric

19.

What is the 15th term of the sequence an = -3n+50

a)

95

b)

-5

c)

5

d)

-95

20.

Arithmetic, geometric, or neither?

1, 3, 7, 13, ...

a)

Arithmetic

b)

Geometric

c)

Neither

21.

Arithmetic, geometric, or neither?

4, 9, 14, 19, ...

a)

Arithmetic

b)

Geometric

c)

Neither

22.

Arithmetic, geometric, or neither?

100, 50, 25, 12.5, ...

a)

Arithmetic

b)

Geometric

c)

Neither

23.

Find the common difference or common ratio:

25, 13, 1, -11, ...

a)

d = 12

b)

d = -12

c)

r = 8

d)

r = -12

24.

Find the common ratio or common difference:

2, 8, 32, 128, ...

a)

d = 1/4

b)

r = 4

c)

r = 1/6

d)

d = 4

25.

Find the explicit formula:

3, 6, 12, 24, ...

a)

aₙ = 6⋅(½)ⁿ ⁻ ¹

b)

aₙ = 6⋅(½)ⁿ

c)

aₙ = 3⋅2ⁿ ⁻ ¹

d)

aₙ = 3⋅2ⁿ

26.

Find the explicit formula:

8, 14, 20, 26, ...

a)

aₙ = 6n + 2

b)

aₙ = 8n + 6

c)

aₙ = 2n + 6

d)

aₙ = 6n + 8

27.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

28.

Solve for x. Round to the nearest tenth.

a)

74.9

b)

3.6

c)

63.5

d)

54.1

29.

Solve for x. Round to the nearest tenth.

a)

19.0

b)

20.0

c)

21.0

d)

20.5

30.

Solve for x. Round to the nearest tenth.

a)

10.4

b)

8.9

c)

31.2

d)

10.5

31.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

32.

Find tan Z

a)

3 / 4

b)

4 / 3

c)

3 / 5

d)

5 / 3

33.

Find the missing angle

a)

52

b)

128

c)

38

d)

90

34.

Which would you use to solve for the missing piece?

a)

$4+3+x=180$

b)

$4^2+3^2=x^2$

c)

$x^2+3^2=4^2$

d)

$x=3\ \left(45-45-90\right)$

35.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

36.

Find the value of x.

a)

36

b)

12

c)

16

d)

25

37.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

38.

Evaluate f(4)

a)

-4

b)

7

c)

3

d)

4

39.

Evaluate f(3)

a)

-4

b)

8

c)

-2

d)

-1

40.

Evaluate f(-4)

a)

-2

b)

-3

c)

11

d)

-5

41.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

42.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

43.

What function best describes this graph?

a)

f(x)= -√(x+4) -2

b)

f(x)= √(x-4) -2

c)

f(x)= -√(x-4) -2

d)

f(x)= √(x+4) +2

44.

Which function matches the graph?

a)

A

f(x) = ∛(x + 3) + 2

b)

B

f(x) = − ∛(x - 3) + 2

c)

C

f(x) = ∛(x - 3) + 2

d)

D

f(x) = ∛(x - 2) + 3

45.

Using the pictured graph, what is

f\left(-3\right)

?

a)

$f\left(-3\right)=-3$

b)

$f\left(-3\right)=-1$

c)

$f\left(-3\right)=1$

d)

$f\left(-3\right)=3$

46.

Evaluate

f\left(4\right)

a)

$f\left(4\right)=-5$

b)

$f\left(4\right)=0$

c)

$f\left(4\right)=3$

d)

$f\left(4\right)=6$

47.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 45 hour week?

a)

$1020

b)

$1140

c)

$840

d)

$570

48.

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

49.

What is the equation of this graph?

a)

f(x) = (x + 2)² - 3

b)

f(x) = (x - 2)² - 3

c)

f(x) = |x + 2| - 3

d)

f(x) = |x - 2| - 3

50.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

51.

Given f(x) = 3x + 10

and g(x) = x - 2

Find f(g(3))

a)

19

b)

23

c)

-10

d)

13

52.

f(x) = 6x + 10

g(x) = x - 2

Find (f∘g)(0)

a)

16

b)

-2

c)

-4

d)

None of these.

53.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(2)).

a)

-14

b)

19

c)

6

d)

7

54.

a)

9 - √17

b)

4

c)

2

d)

√8

55.

(L3) Given f(x)= x^{2 -}25 and g(x)= -x + 5, find (f+g)(x).

a)

x²+ x - 20

b)

x^{2 -} x - 20

c)

-x²+ x - 20

d)

x²- x - 20

56.

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

a)

x² + 8x + 1

b)

x² + 6x - 1

c)

5x² + 8x - 1

d)

x² + 8x -1

57.

Given f(x) = 2x and
g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

58.

h(x) = 3x + 3
g(x) = -4x + 1
Find (h + g)(10)

a)

-6

b)

6

c)

82

d)

-72

59.

g(x) = 2x - 5
h(x) = 4x + 5
Find (g - h)(3)

a)

18

b)

16

c)

-16

d)

28

60.

Given f(x) = -x + 4 and g(x) = 6x + 3, find (f - g)(x).

a)

-7x + 1

b)

5x +1

c)

-5x -1

d)

5x + 1

61.

Find $f\left(g\left(-1\right)\right)$

a)

-7

b)

-4

c)

0

d)

2

62.

Find $f\left(g\left(-2\right)\right)$

(a)

63.

Given 𝑓(𝑥) = 2𝑥 − 5 and 𝑔(𝑥) = 3𝑥 + 4, solve for (𝑔 ○ 𝑓)(𝑥).

a)

11 − 6𝑥

b)

6𝑥²− 7𝑥 − 20

c)

6𝑥 − 11

d)

6𝑥² − 23𝑥 − 20

64.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

65.

a)

x - 7

b)

x²- 7

c)

x + 7

d)

x²+ 3x - 54

66.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

67.

Divide:

\frac{x^4-17x^3-64x^2-35x+49}{x+7}

a)

$x^3+10x^2-6x+10+\frac{3}{x+7}$

b)

$x^3+10x^2-6x+6-\frac{1}{x+7}$

c)

$x^3+10x^2-6x+7$

d)

$x^3+10x^2-6x+7+\frac{4}{x+7}$

68.

Is x=-3 a solution for f(x)= $x^3-7x^2-21x+25$

a)

Yes

b)

No

69.

Let f(x) = 4x² -33x -27. Is x = 9 a zero of the function?

a)

yes

b)

no

70.

Let f(x) = 3x² - 9x +2. Is x = -3 a zero of the function?

a)

yes

b)

no

71.

Divide using synthetic division (2x³ + 4x² - 5) by (x + 3). Is (x + 3) a factor?

a)

2x² + 2x - 4 R(-12)

No

b)

2x² - 2x + 6 R(-23)

No

c)

2x² - 2x + 6 R(-23)

Yes

d)

2x² - 4x + 1 R(0)

Yes

72.

What is m(-3) if:

a)

-3

b)

0.5

c)

3

d)

-3.5

73.

The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.

a)

12 g

b)

6 g

c)

27 g

d)

54 g

74.

The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is 15.84 cubic feet when the height is 22 feet and the distance around the trunk is 3 feet, what is the volume of wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk?

a)

44.96 ft³

b)

49.96 ft³

c)

40.96 ft³

d)

32.96 ft³

75.

The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per

second. Find the frequency of a 5 foot string.

a)

105 cycles

b)

291.7 cycles

c)

2625 cycles

d)

332 cycles

76.

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

a)

8 painters

b)

10 painters

c)

9 painters

d)

11 painters

77.

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?

a)

308.05 ft

b)

295.75 ft

c)

296.09 ft

d)

253.5 ft

78.

What is the increasing interval on the function shown?

a)

$\left(-\infty,\ -3\right)$

b)

$\left(-\infty,\ -4\right)$

c)

$\left(-4,\ \infty\right)$

d)

$\left(-3,\ \infty\right)$

79.

What is the increasing interval(s) on the function shown?

a)

$\left(-\infty,\ -15\right)\ and\ \left(9,\ -15\right)$

b)

$\left(-2,\ 9\right)\ and\ \left(2,\ \infty\right)$

c)

$\left(-\infty,\ -2\right)\ and\ \left(0,\ 2\right)$

d)

$\left(-2,\ 0\right)\ and\ \left(2,\ \infty\right)$

80.

What is the decreasing interval(s) on the function shown?

a)

$\left(-\infty,\ -15\right)\ and\ \left(9,\ -15\right)$

b)

$\left(-2,\ 9\right)\ and\ \left(2,\ \infty\right)$

c)

$\left(-\infty,\ -2\right)\ and\ \left(0,\ 2\right)$

d)

$\left(-2,\ 0\right)\ and\ \left(2,\ \infty\right)$

81.

The graph represents a...

a)

Function

b)

Non-Function

82.

The graph represents a...

a)

Function

b)

Non-Function

83.

Which relation is a function?

a)

b)

c)

d)

84.

In which set of ordered pairs (x,y), is y NOT a function of x?

a)

{(1,4), (4,1)}

b)

{(1,4), (6,4)}

c)

{(6,1), (1,6), (1,4)}

d)

{(6,6), (1,1), (4,4)}

85.

Which of the following the graphs represents a function ?

a)

b)

c)

d)

86.

Which of the following in NOT the graph of a function?

a)

b)

c)

d)

87.

This graph has an inverse

a)

True

b)

False

c)

Not enough information to be determined

88.

Yes or No?

Does this graph have inverse?

(a)

89.

What is the Inverse of the function $y=2x+7$

a)

$y=-2x-7$

b)

$y=7x+2$

c)

$y=\frac{\left(x-7\right)}{2}$

d)

$y=\frac{\left(x-2\right)}{7}$

90.

Which is the inverse of the table?

a)

b)

c)

d)

91.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

92.

Identify the domain of the following relation:

a)

-6, 14, 2, 28

b)

(-6,14), (0,32), (2,38), (4,44)

c)

-6, 0, 2, 4

d)

14, 32, 38, 44

93.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

94.

What is the equation of this graph?

a)

f(x) = (x + 2)² - 3

b)

f(x) = (x - 2)² - 3

c)

f(x) = |x + 2| - 3

d)

f(x) = |x - 2| - 3

95.

Convert to vertex form:
f(x) = x² + 10x + 24

a)

f(x) = ( x - 5 )² + 1

b)

f(x) = ( x + 5 )² - 1

c)

f(x) = ( x - 5 )² - 1

d)

f(x) = ( x + 5 )² + 1

96.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

97.

What is the vertex form of this quadratic?

a)

f(x) = -(x + 2)²- 4

b)

f(x) = (x - 2)²+ 4

c)

f(x) = (x - 2)²- 4

d)

f(x) = -(x - 2)² - 4

98.

April shoots an arrow upward at a speed of 80 ft/sec from a platform of 25 ft. high. The pathway of the arrow can be represented by the equation h = -16t²+ 80t + 25, where h is the height and t is the time in seconds. What is the maximum height that the arrow reaches?

a)

80 ft.

b)

90 ft.

c)

140 ft.

d)

125 ft.

99.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

7 feet

d)

8 feet

e)

12 feet

100.

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h = -4t² + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height?

a)

0.1 seconds

b)

0.25 seconds

c)

0.50 seconds

d)

1 second

e)

2 seconds

101.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

102.

What is the decay rate in the following model?
A=1200(.85)⁶

a)

-1200

b)

-.15

c)

6

d)

-6

103.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

104.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1 + 0.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1+ 0.15)^x

105.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

a)

$23,219.72

b)

$136.72

c)

$51,710.94

d)

$16,710.94

106.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

107.

.
If the blue is f(x)=x^2,then the red must be

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

108.

.
If the blue is f(x)=x^2,the red must be

a)

g(x)=(x+3)²

b)

g(x)=(x-3)²

c)

g(x)=x²+3

d)

g(x)=x²-2

109.

Find the equation of the transformed graph

a)

$y=x^2+3$

b)

$y=\left(x+3\right)^2$

c)

$y=\ x^2-3$

d)

$y=\left(x-3\right)^2$

110.

a)

$y=\ \left|x\right|\ +\ 3$

b)

$y=\ \left|x\right|-\ 3$

c)

$y=\ \left|x+3\right|\$

d)

$y=\ \left|x-3\right|$

111.

$y=\sqrt{x-2}$

Which graph represents this transformed function

a)

b)

c)

d)

112.

What is the rule for the transformation of g(x) in terms of f(x)?

a)

f(x)=g(x)-6

b)

g(x)=f(x)-6

c)

f(x)=g(x)+6

d)

g(x)=f(x)+6

113.

Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.

a)

(2,-4)

b)

(-2,4)

c)

(8,4)

d)

(-2,-8)

114.

a)

y = Ix + 2I - 1

b)

y = -Ix + 2I - 1

c)

y = -Ix - 2I - 1

d)

y = -Ix + 1I - 2

115.

$Which\ function\ has\ a$ $\max imum\ value\ at\ x=-2$

a)

$f\left(x\right)=-\left(x-2\right)^2+6$

b)

$f\left(x\right)=-\left(x+2\right)^2+1$

c)

$f\left(x\right)=-\left(x-3\right)^2-2$

d)

$f\left(x\right)=\left(x+2\right)^2-2$

116.

a)

b)

c)

d)

117.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

118.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

119.

Judy buys a bicycle for $ 160. The bicycle's price is increasing 3.5% every year. Write an equation that models this situation.

a)

$y=160\left(1.035\right)^{\ t}$

b)

$y=160\left(0.965\right)^{\ t}$

c)

$y=160\left(3.5\right)^{\ t}$

d)

$y=160\left(0.035\right)^{\ t}$

120.

What are the zeros for the function

f(x) = x(x - 2)(x + 3)

a)

-3, 0, and 2

b)

-3 and 2

c)

-2, 0, and 3

d)

no zeros

121.

a)

y < -2x + 3

b)

y > -2x + 3

c)

y ≤ -2x + 3

d)

y ≥ -2x + 3

122.

$-4+25x^2\ \ \ can\ be\ factored\ as$

a)

$\left(5x-2\right)\left(5x+2\right)$

b)

$\left(2-5x\right)\left(2+5x\right)$

c)

$\left(25x-4\right)\left(25x+4\right)$

d)

$cannot\ be\ factored$

123.

$Find\ the\ zeros\ of\ \ f\left(x\right)=\left(x-1\right)^2-9$

a)

$4\ and\ -2$

b)

$3\ and\ -3$

c)

$4$

d)

$4\ and\ 2$

124.

Which linear equation does this table represent?

a)

$y=3x+9$

b)

$y=3x-9$

c)

$y=9x+3$

d)

$y=9x-3$

125.

What is the growth rate for the equation?

y = 200(1.08)^x

a)

200

b)

1.8

c)

80%

d)

8%

126.

The table below shows the snowfall in a north-eastern city in inches for the first week in January.

Find the average rate of change in the number of inches of snowfall from January 8 to January 11.

a)

2/3 in.

b)

2 in.

c)

3 in.

d)

3/2 in.

127.

$y=400-0.25x$ If y represents the number of gallons of water, and x represents the time in minute. What does 0.25 represent?

a)

the number of gallons of water

b)

the number of gallons of water

c)

the number of gallons of water per minute

d)

the number of minutes

128.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

2 minutes per gallon

c)

-2 gallons per minute

d)

2 gallons per minute

129.

$\$ $0.4x+2.5y=13.2$

$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=y+4$

$Solve\ for\ x$

a)

$8$

b)

$4$

c)

$-8$

d)

$no\ solution$

130.

$\$ $2x+3y=24$

$\ \ \ \ \ 5x+7y=58$

$Solve\ for\ x\ and\ y$

a)

$x=6\ and\ y=4$

b)

$x=4\ and\ \ y=6$

c)

$x=6\ and\ y=2$

d)

$no\ solution$

131.

$Solve\ for\ x\ \ if\ Qx-P<30$

a)

$x>\frac{30+P}{Q}$

b)

$x<\frac{30+P}{Q}$

c)

$x>\frac{30-P}{Q}$

d)

$x<30+P$

132.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

133.

Solve for x and y:
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

134.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

135.

$If\ y=3x-4a$ $and\ y=21\ and\ x=3$ $,\ find\ the\ value\ of\ a$

a)

$a=-3$

b)

$a=3$

c)

$a=-4$

d)

$none\ of\ these$

136.

$Solve\ for\ h\ \ if\ V=\frac{hs^2}{3}$

a)

$\frac{3V}{s^2}$

b)

$\frac{V}{s^2}$

c)

$\frac{V}{3s^2}$

d)

$\frac{3V}{s}$

137.

Solve using square roots.

3b² - 1 = 11

a)

b = 4, b = -4

b)

b = 3, b = -3

c)

b = 2, b = -2

d)

no real solution

138.

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

139.

Find the solution:
y = x² - 4x + 6
y = x + 2

a)

(3, 1) and (6, 4)

b)

(-1, 1) and (4, 2)

c)

(1, 3) and (4, 6)

d)

(1, 4) and (3, 6)

140.

Which equation best represents the relationship between x and y in the table shown?

a)

y=-3x-10

b)

y=-1/3x-10

c)

y=-10x+10

d)

y=-4x-10

141.

$If\ A=3x^2-11x+8\ and$ $B=x^2+6x-5,\ find\ A+B$

a)

$4x^2-5x+3$

b)

$4x^2+5x+3$

c)

$4x^2+5x-3$

d)

$None\ of\ these$

142.

$If\ A=3x^2-11x-8\ and$ $B=x^2+6x-5,\ find\ A-B$

a)

$2x^2-17x+13$

b)

$2x^2-5x+3$

c)

$2x^2-17x-3$

d)

$None\ of\ these$

143.

Find the product:
(3r-4)(7r-5)

a)

21r²-43r+20

b)

21r+43r²+9

c)

7r+12r

d)

r+2r

144.

Solve.
⅓x + 10 = ¾x + 5

a)

x = 1

b)

x = -1

c)

x = 12

d)

x = -12

145.

.

The blue graphs is the parent function f(x)=|x|, the red must be g(x)= |x+k| with k=

a)

k = 4

b)

k = 2

c)

k = -2

d)

k =- 4

146.

The graphs of linear functions f = x and g = x + k are shown on the grid. What is the value of k?

a)

$k=3$

b)

$k=-3$

c)

$k=4$

d)

$no\ such\ a\ value$

147.

The graphs of linear functions f = x and g = x + k are shown on the grid. What the value of k is best represented by the ?

a)

$k=6$

b)

$k=-6$

c)

$k=4$

d)

$none\ of\ these$

148.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(-4, 0)

c)

(2, 2)

d)

(3, 1)

149.

$A=\frac{bh}{2}$

Solve for b

a)

$b=2A-h$

b)

$b=\frac{2A}{h}$

c)

$b=\frac{Ah}{2}$

d)

$b=\frac{A-2}{h}$

150.

$25x^2-4y^2\ can\ be\ factored\ as$

a)

$\left(5x-2\right)\left(5x+2\right)$

b)

$\left(2x-5y\right)\left(2x+5y\right)$

c)

$\left(5x-2y\right)\left(5x+2y\right)$

d)

$cannot\ be\ factored$

Algebra 2 Cumulative Review

Total questions: 150

Worksheet time: 6hrs 6mins

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