Free Printable Algebra EOC Review

1.

Solve for y:
-5 - 7y = -20y + 34

a)

y = 3

b)

y = 1

c)

y = 0.67

d)

y = 46

2.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

3.

Solve the following equation.
4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

4.

Each month Kaden's phone company charges a flat fee of $12 plus $0.05 per minute. His bill for last month was $18. How many minutes did Luca talk on the phone last month?

a)

120

b)

100

c)

350

d)

600

5.

Sophie has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Sophie to save money for a new jacket?

a)

11 weeks

b)

10 weeks

c)

12 weeks

d)

13 weeks

6.

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds will it take for UPS and FedEx to cost the same? Write an equation.

a)

7p +0.20 = 5p + 0.30

b)

0.20p + 7 = 0.30p + 5

c)

7 - 0.20p = 5 - 0.30p

d)

0.20p - 7 = 0.30p - 5

7.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

8.

Is the relation a function?
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

a)

Yes

b)

No

9.

Is this table a function or not a function?

a)

Function

b)

Not a Function

10.

For the function f(x) = -3x + 3 find f(0).

a)

0

b)

-3

c)

3

d)

-1

11.

Evaluate f(-2) if f(x) = x²+ 3.

a)

-1

b)

1

c)

7

d)

-7

12.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

13.

Given f(x) = -3x - 2 and f(x) = 10. Find x

a)

x = 4

b)

x = -4

c)

x = 8/3

d)

x = -8/3

14.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

15.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

16.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

17.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

18.

What is the y- intercept of the graph of y = -5x + 6

a)

5

b)

-5

c)

6

d)

-6

19.

Find the slope

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

20.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

21.

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

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

22.

What is the equation of 5x -y = 10 in slope intercept form?

a)

y = -5x +10

b)

y =5x-10

c)

y = -x+ 10

d)

y=x-10

23.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

24.

Write the equation of the line through the points (−6, −19) and (2, 5).

a)

7x + 2y = 24

b)

3x - y = -11

c)

7x + 2y = -80

d)

3x - y = 1

25.

Graph. y = -4

a)

b)

c)

d)

26.

Graph. x = 1

a)

b)

c)

d)

27.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

28.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

29.

Is this exponential growth or decay?

a)

Growth

b)

Decay

30.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

31.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

a)

f(x)=400(1+3)^x

b)

f(x)=400(1-0.03)^x

c)

f(x)=400(1+0.03)^x

d)

f(x)=400(0.03)^x

32.

If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?

a)

3

b)

-3

c)

1/3

d)

-1/3

33.

True or False: This is an exponential function.

a)

True

b)

False

34.

Which function models this table?

a)

$f\left(x\right)=2\cdot4^x$

b)

$f\left(x\right)=4^x$

c)

$f\left(x\right)=4\cdot2^x$

d)

$f\left(x\right)=8^x$

35.

What is the equation of the horizontal asymptote for following exponential function?

a)

y = -4

b)

y > -4

c)

y < -4

d)

(0, -3)

36.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

37.

Is the sequence 2, 4, 12, 48,... geometric?

a)

yes

b)

no

38.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

39.

Find the common ratio: 4, -16, 64, -256, ...

a)

r = -4

b)

r = 2

c)

r = -2

d)

r = 4

40.

What is the 100th term in the sequence f(n)= 4n-12

a)

388

b)

40012

c)

-388

d)

100

41.

Find the product:
(5n-8)(5n+8)

a)

25n²-64

b)

10n²

c)

5n²+16

d)

16

42.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

43.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

44.

What is the perimeter for the given rectangle:

a)

6x³ - 9x² + 10x - 15

b)

6x² + 1x - 15

c)

6x² + 4x + 4

d)

6x³ + 1x² - 15x

45.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

46.

Simplify: $\sqrt[]{28}$

a)

$4\sqrt[]{7}$

b)

$2\sqrt[]{7}$

c)

$2\sqrt[]{14}$

d)

$7\sqrt[]{4}$

47.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

48.

√100y⁴

a)

10√y²

b)

10y√y

c)

10y

d)

10y²

49.

Simplify
-2√5+3√20

a)

-2√8

b)

-6√36

c)

-6√-12

d)

4√5

50.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

51.

Factor completely.
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

52.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

53.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

54.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

55.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

56.

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

57.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

58.

Which equation shows $x^2+8x+9=0$ after the method of completing the square has been applied?

a)

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

b)

$\left(x+4\right)^2=7$

c)

$\left(x+8\right)^2=55$

d)

$x^2=-\left(8x+9\right)$

59.

Identify which part of a parabola is illustrated in the given graph.

a)

vertex

b)

x-intercept

c)

y-intercept

d)

axis of symmetry

60.

Identify which part of a parabola is illustrated in the given graph.

a)

vertex

b)

x-intercept

c)

y-intercept

d)

axis of symmetry

61.

Identify which part of a parabola is illustrated in the given graph.

a)

vertex

b)

x-intercept

c)

y-intercept

d)

axis of symmetry

62.

Identify which part of a parabola is illustrated in the given graph.

a)

vertex

b)

x-intercept

c)

y-intercept

d)

axis of symmetry

63.

Use the graph to find the coordinates of the vertex

a)

(2, -1)

b)

(-1, 2)

c)

(1, -2)

d)

(-2, 1)

64.

Use the graph to find the range of the parabola.

a)

$y\ge-1$

b)

$y\le-1$

c)

$y\ge2$

d)

$y\le2$

65.

Use the graph to find the x-intercept/s.

a)

(2, 0)

b)

(0, 2)

c)

(-4, 0)

d)

(0, -4)

66.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. When does the rock hit the ground?

a)

1.094 seconds

b)

174.141 seconds

c)

155 seconds

d)

4.393 seconds

e)

None of the above

67.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the maximum height the rock reaches ?

a)

1.094 ft

b)

174.141 ft

c)

155 ft

d)

4.393 ft

e)

None of the above

68.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?

a)

1.094 seconds

b)

174.141 seconds

c)

155 seconds

d)

4.393 seconds

e)

None of the above

69.

What is the mode of the data?

a)

The value that appears the most

b)

The value the appears the least

c)

The average value of the data

d)

The middle value of the data

70.

What is the mean of the data?

a)

The middle value of the data

b)

The average value of the data

c)

The distance between the greatest and least value in the set of data

d)

The value of the data the appears the most

71.

What is the median of the data?

a)

The average value

b)

The most common value

c)

The middle value

d)

The difference between the highest and lowest value

72.

What is the range of the data?

a)

Find the most common value

b)

Find the middle value

c)

Add up all the values in the data then divide by number of values in data

d)

The difference between the highest and lowest values of the data

73.

Find the range of the data 45, 76, 98, 21, 52, 39

a)

108

b)

2

c)

36.5

d)

77

74.

What is the mode in the set of data?
2,2,2,4,4,5,6,6,6,7

a)

2

b)

6

c)

2 and 6

d)

2,4, and 6

75.

Find the mean.
90, 100, 95, 85, 60, 80

a)

85

b)

84

c)

86

d)

90

76.

Find the median of the data.

1,4,6,7,10,20,61,70

a)

7

b)

8.5

c)

9

d)

8

77.

What is the median?

a)

62

b)

58

c)

66

d)

60

78.

What is the minimum value?

a)

64

b)

58

c)

66

d)

61

79.

What is the maximum value?

a)

58

b)

66

c)

64

d)

60

80.

What value is the lower quartile (Q1)?

a)

66

b)

58

c)

60

d)

64

81.

What data value is the upper quartile (Q3)?

a)

64

b)

62

c)

66

d)

58

82.

Which best represents the Interquartile Range

a)

15

b)

93

c)

85

d)

78

83.

Describe the shape of the distribution.

a)

symmetric

b)

skewed left

c)

skewed right

84.

Describe the shape of the distribution.

a)

symmetric

b)

skewed left

c)

skewed right

85.

Describe the shape of the distribution.

a)

symmetric

b)

skewed left

c)

skewed right

86.

What percent of people who attended the basketball game also attended the school play?

a)

38%

b)

47%

c)

25%

d)

54%

87.

What number should go in the blue box?

a)

21

b)

135

c)

19

d)

22

88.

How many sophomores like burritos and pizza?

a)

6

b)

5

c)

11

d)

50

89.

Of the mechanical engineers, what is the probability that math is their favorite subject?

a)

1.91

b)

52%

c)

17%

d)

35%

90.

What is the correlation for the following Scatter Plot.

a)

Weak Positive

b)

No Correlation

c)

Strong Negative

d)

Weak Negative

e)

Strong Positive

91.

What is the correlation for the following Scatter Plot.

a)

Weak Positive

b)

No Correlation

c)

Strong Negative

d)

Weak Negative

e)

Strong Positive

92.

What is the correlation for the following Scatter Plot.

a)

Weak Positive

b)

No Correlation

c)

Strong Negative

d)

Weak Negative

e)

Strong Positive

93.

Given the following Scatter Plot, select the option that is most likely the r value.

a)

$r=.27$

b)

$r=-.862$

c)

$r=.934$

d)

$r=.54$

94.

Given the following Scatter Plot, select the option that is most likely the r value.

a)

$r=-.1$

b)

$r=-.981$

c)

$r=.92$

d)

$r=.765$

Algebra EOC Review

Total questions: 94

Worksheet time: 2hrs 30mins

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