Free Printable Algebra I EOC Review

1.

a)

A

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B

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C

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F

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G

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J

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a)

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G

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J

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a)

F

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G

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G

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J

14.

a)

F

b)

G

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H

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J

15.

a)

1.5

b)

45

c)

30

d)

46.5

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B

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C

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D

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F

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G

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J

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a)

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C

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D

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a)

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b)

B

c)

C

d)

D

27.

a)

F

b)

G

c)

H

d)

J

28.

Simplify (-3) to the third power

a)

-9

b)

27

c)

-27

d)

9

29.

What is the slope of this line?

a)

Undefined

b)

Negative

c)

Positive

d)

Zero

30.

Simplify $(4x^2-6x+3)-(7x^2-9x-1)$

a)

- $-3x^2-3x-4$

b)

$-3x^2-3x+4$

c)

$-3x^2+3x-4$

d)

$-3x^2+3x+4$

31.

Multiply (x - 5)(2x – 3)

a)

$2x^2-13x+15$

b)

$2x^2-7x+15$

c)

$2x^2+7x+15$

d)

$2x^2+7x-15$

32.

What is the shape of this data?

a)

Left/Negatively Skewed

b)

Right/Positively Skewed

c)

Normal Distribution

d)

Paranormal Distribution

33.

Carlos is working at the grocery store at $10.50 an hour to earn money for tuition. So far he has saved $450. Tuition is due soon and will cost at least $980. Let x be the number of hours that Carlos spends working. Write an inequality that could be used to find x.

a)

10.5x-980<450

b)

10.5x+980>450

c)

10.5x+450>980

d)

10.5x-450>980

34.

What is the slope of this line?

a)

-3

b)

-2

c)

3

d)

2

35.

In the equation y=mx+b, m is the ____.

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

36.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

37.

A chef has 7 pounds of potatoes. She needs more than 14 pounds for dinner. What inequality describes the amount of potatoes the chef needs to buy?

a)

x - 7 > 14

b)

x + 7 > 14

c)

x - 7 < 14

d)

x + 7 < 14

38.

Does the sign need to flip when solving?
8y < (-40)

a)

YES

b)

NO

39.

-24 + k ≤ 10

a)

k ≤ 14

b)

34 ≤ k

c)

k ≤ 34

d)

14 ≤ k

40.

Calculate the zeros of the quadratic.

a)

x = 6 and 3

b)

x = 1 and 0

c)

x = 0 and 3

d)

x = 3 and 1

41.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

roots

d)

solutions

42.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

43.

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

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

44.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

45.

What is the balance of $6000 compounded annually at a rate of 4% for 10 years?

a)

$8,881.47

b)

$7,432.93

c)

$8,400

d)

$6,500

46.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

9766

b)

9006

c)

9765

d)

5433

47.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

48.

What is the explicit rule for the sequence:
11, 22, 44, 88...

a)

_gn = 2(11)^n-1

b)

_gn = 11x2

c)

_gn = 11(2)^n-1

d)

g_n = 11+(2)^n-1

49.

Which recursive formula best describes the sequence
2, -6, 18, - 54...

a)

a_n=a_n-1* -4, a₁= 2

b)

a_n=a_n-1* - 8, a₁=2

c)

a_n=a_n-1* 2, a₁= -3

d)

a_n=a_n-1* -3, a₁=2

50.

a)

A.

b)

B.

c)

C.

d)

D.

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A.

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B.

c)

C.

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D.

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a)

F.

b)

G.

c)

H.

d)

J.

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J

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a)

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J

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C

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D

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a)

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J

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a)

F

b)

G

c)

H

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J

65.

a)

A

b)

B

c)

C

d)

D

66.

What is the slope between the points
(-3, -4) & (7, 6)?

a)

0

b)

Undefined

c)

-1

d)

1

67.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

68.

Find the equation of the line shown

a)

y = 4x - 2

b)

y = -2x + 4

c)

y = 2x + 4

d)

y = -4x - 2

69.

Which of the graphs shown does NOT represent a function?

a)

A

b)

B

c)

C

d)

D

70.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

71.

What is the slope between the points
(-3, -4) & (7, 6)?

a)

0

b)

Undefined

c)

-1

d)

1

72.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

73.

4⁰=

a)

0

b)

1

c)

4

d)

-4

74.

Solve for n:
6 - (8 - 4n) = 2(2n - 1)

a)

No solution

b)

n = 0

c)

All real solutions

d)

n = -2

75.

Find the equation of the line shown

a)

y = 4x - 2

b)

y = -2x + 4

c)

y = 2x + 4

d)

y = -4x - 2

76.

Write the equation of the line with slope = 5 and that goes through point (3, -5)

a)

y = 5x - 5

b)

y = 5x - 20

c)

y = 5x + 20

d)

y = 5x + 15

77.

Write the equation of the line that goes through the points (4, 7) and (0, -5)

a)

y = 1/3x + 7

b)

y = 3x + 7

c)

y = 1/3x - 5

d)

y = 3x - 5

78.

Solve for x:
4 - 5x < 22 - 2x

a)

x > -6

b)

x < -6

c)

x > 6

d)

x < 6

79.

Write an equation that is parallel to y = 3x + 5 and going thru (2,5).

a)

y = 3x + 1

b)

y = 3x + b

c)

y = -3x -1

d)

y = -3x + 1

80.

Find the slope

a)

0

b)

undefined

c)

-3

d)

6

81.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

82.

What is the equation for this line?

a)

y = 5

b)

x = 5

c)

y = -5

d)

x = -5

83.

What is the equation of the line?

a)

y = 5x - ⅔

b)

y = ⅔x - 5

c)

y = -5x + ⅔

d)

y = -⅔x + 5

84.

Which of the following relations represents y as a function of x?
I. {(1, 4), (2, 5), (3, 6)}
II. {(1, 4), (2, 4), (3, 4)}
III. {(1, 4), (2, 4), (1, 3)}
IV. {(1, 4), (1, 2), (1, 3)}

a)

I, II, and III only

b)

II and IV only

c)

III and IV only

d)

I and II only

85.

Which expression is equivalent to

6x² + 13x + 5

a)

(2x + 5)(3x - 1)

b)

(2x - 5)(3x + 1)

c)

(2x + 1)(3x + 5)

d)

(2x - 1)(3x - 5)

86.

Which expression is equivalent to

m² - 13m - 30

a)

(m - 15)(m + 2)

b)

(m - 10)(m - 3)

c)

(m + 15)(m - 2)

d)

(m + 10)(m + 3)

87.

The graph models the linear relationship between Earth's atmosphere and the altitude above sea level.

Which of these best represents the rate of change of the temperature with respect to the altitude?

a)

-6.5* C/km

b)

-3.5* C/km

c)

-0.29* C/km

d)

-0.15* C/km

88.

The graph shows the relationship between the number of cookies a presenter at a convention had left to give away and the number of presentations she had made.

What does the y-intercept represent?

a)

The number of cookies the presenter had before making any presentations.

b)

The maximum number of cookies the presenter gave away during every presentation.

c)

The number of presentations the presenter made per hour.

d)

The maximum number of presentations the presenter made before running out of cookies.

89.

The graph of line t is shown on the grid.

Line w is steeper than line t and has a y-intercept that is below the y-intercept of line t. Which function could be represented by line w?

a)

y = -2/3x - 1

b)

y = -3/8x + 4

c)

y = -4/3x + 4

d)

y = -1/4x - 1

90.

Which graph represents -3x + 5y = -15

a)

b)

c)

d)

91.

The mapping represents all of the points on the graph of function f.

What is the domain of f?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{7}

92.

The table represents some points on the graph of a linear function.

What function represents the same relationship?

a)

h(x) = -x - 3.5

b)

h(x) = -3x - 10.5

c)

h(x) = 3x - 10.5

d)

h(x) = x - 3.5

93.

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 meters when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.06 m per day.

Which function can be used to find the thickness of the ice shelf in meters x days since the discovery?

a)

f(x) = 450 - 0.06x

b)

f(x) = -0.06(x + 450)

c)

f(x) = 450 + 0.06x

d)

f(x) = 0.06(x + 450)

94.

A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes. Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?

a)

f + h = 40

4h + 3f = 11

b)

f + h = 11

4h + 3f = 40

c)

f + h = 40

4f + 3h = 11

d)

f + h = 11

4f + 3h = 40

95.

The graphs of lines k₁ and k₂ are shown on the grid.

Which system of equations is best represented by this graph?

a)

3x - y = 2

4x + 9y = 36

b)

3x - y = 6

4x + 9y = 4

c)

x - 3y = -18

9x + 4y = 9

d)

x + y = 10

9x + 4y = 13

96.

There are 156 laptops and desktop computers in a lab. There are 8 more laptops than desktop computers. What is the total number of laptops in the lab?

a)

74

b)

86

c)

82

d)

70

97.

What is the solution to

0.3(12x - 16) = 0.4(12 - 3x) ?

a)

-2

b)

4

c)

2

d)

-4

98.

What is the solution to

8x - 3(2x - 4) = 3(x - 6) ?

a)

6

b)

2

c)

30

d)

No Solution

99.

The table shows some ordered pairs that belong to the quadratic function h.

What is the range of h?

a)

All real numbers

b)

All real numbers greater than or equal to -7

c)

All real numbers greater than or equal to -8

d)

All real numbers greater than or equal to 0

100.

Which graph best represents a function with a range of all real numbers less than or equal to -6?

a)

b)

c)

d)

101.

The graph of f(x) = 6x² - 11x + 3 is shown on the grid.

What are the zeros of f.

a)

3

b)

2 and 9

c)

11/12

d)

1/3 and 3/2

102.

The graph of a quadratic function is shown on the grid.

Which equation best represents the axis of symmetry?

a)

y = 6

b)

x = 2

c)

y = 4

d)

x = 0

103.

Function p is in the form y = ax² + c. If the values of a and c are both less than 0, which graph could represent p?

a)

b)

c)

d)

104.

The graph of f(x) = x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes the transformation?

a)

A horizontal shift to the right 7.5 units.

b)

A horizontal shift to the left 7.5 units.

c)

A vertical shift down 56.25 units.

d)

A vertical shift up 56.25 units.

105.

The total number of seats in an auditorium is modeled by f(x) = 2x² - 6x, where x represents the number of rows of seats. How many rows are there in the auditorium if it has a total of 416 seats?

a)

32

b)

13

c)

20

d)

16

106.

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there were initially 4 of these cells?

a)

b)

c)

d)

107.

The amount of fertilizer in a landscaping company's warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was initially 78,000 cubic yards.

Which function models the amount of fertilizer in cubic yards left after w weeks?

a)

f(w) = 0.97(78,000)^w

b)

f(w) = 1.03(78,000)^w

c)

f(w) = 78,000(0.97)^w

d)

f(w) = 78,000(1.03)^w

108.

The graph of an exponential function is shown on the grid.

Which dashed line is an asymptote for the function?

a)

Line q

b)

Line r

c)

Line s

d)

Line t

109.

Which statement about the graph of y = ⅓(⅔)^x is true?

a)

The graph has a vertical asymptote.

b)

The graph crosses the y-axis at (0, 2/9).

c)

The graph has an asymptote at y = ⅓.

d)

The graph decreases from left to right.

110.

Solve the inequality below:

$-5-\left(14x-1\right)<2\left(7x-16\right)$

a)

$x<-1$

b)

$x>1$

c)

$x>-4$

d)

$x\le3$

111.

Which expression is equivalent to $210d^2-63d$ ?

a)

$21d\left(10d-3\right)$

b)

$21d\left(10d+3\right)$

c)

$21\left(10d+3\right)$

d)

$21\left(10d-3\right)$

112.

Solve the inequality below:

$6\left(x-5\right)>3\left(x-1\right)$

a)

$x>9$

b)

$x>11$

c)

$x<11$

d)

$x>-9$

113.

What value of x makes the equation $-5x-\left(-7-4x\right)=-2\left(3x-4\right)$ true?

a)

$x=\frac{1}{5}$

b)

$x=\frac{1}{3}$

c)

$x=3$

d)

$x=5$

114.

What are the solutions to the equation

$3x^2+5x=18$ ?

a)

$x=-6\ \ and\ \ \ x=1$

b)

$x=-3\ and\ x=-2$

c)

$x=6\ and\ x=13$

d)

$x=0\ and\ x=1$

115.

Which expression is equivalent to $2x^2+\left(4x-6x^2\right)+9-\left(6x+3\right)$ ?

a)

$-4x^2-2x+6$

b)

$-10x+6$

c)

$18x+12$

d)

$-4x^2-2x+12$

116.

Which expression is equivalent to $6x^2-13x+5$

a)

$\left(3x-5\right)\left(2x-1\right)$

b)

$\left(3x-1\right)\left(2x+5\right)$

c)

$\left(3x-1\right)\left(2x-5\right)$

d)

$\left(3x-5\right)\left(2x+1\right)$

117.

Which expression is equivalent to $-6x^2-11x-4$ ?

a)

$\left(-3x-4\right)\left(2x+1\right)$

b)

$\left(3x-7\right)\left(3x+3\right)$

c)

$\left(-3x+4\right)\left(2x-1\right)$

d)

$\left(3x+7\right)\left(3x-3\right)$

118.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

119.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

120.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

121.

What is the y-intercept in the equation? $y=-\frac{2}{3}\ x+8$

a)

2

b)

$-\frac{2}{3}$

c)

-8

d)

3

122.

Find the equation of the line in slope-intercept form.

a)

y = - 1/4x - 3

b)

y = 1/3x + 3

c)

y = - 1/4x + 2

d)

y = 1/3x -3

123.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

124.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

125.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

126.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

127.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

128.

^{What is the x- intercept of the line?}

a)

(0,-1)

b)

(-2,0)

c)

(-1,0)

d)

(0,-2)

129.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

130.

What is the x-intercept?

a)

(12,0)

b)

(0,-3)

c)

(8,-1)

d)

(0,0)

131.

Factor by GCF:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

132.

Factor:

3p² - 15p

a)

p(p - 15)

b)

3p(p - 3)

c)

p²(3-15)

d)

3p(p - 5)

133.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

134.

7(y+9)

a)

7+9

b)

7y+63

c)

-7y-63
-7y+63

d)

7x+63

135.

Simplify the following expression:
-9(14p - 8) - 4p

a)

130p - 72

b)

122p - 72

c)

-130p - 18

d)

-130p + 72

136.

Simplify

a)

9

b)

√9

c)

3√9

d)

can't simplify

137.

√16

a)

4

b)

8

c)

16

d)

64

138.

√169

a)

√13

b)

13

139.

Simplify:
√200

a)

10√2

b)

2√10

c)

50√2

d)

2√50

140.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

141.

Simplify:
√96

a)

16√6

b)

6√16

c)

9√6

d)

4√6

142.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

143.

Calculate the MEAN for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

a)

7

b)

7.44

c)

8

d)

7 and 8

144.

Calculate the MEDIAN for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

a)

7

b)

7.44

c)

8

d)

7 and 8

145.

Calculate the MODE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

a)

7

b)

7.44

c)

8

d)

7 and 8

146.

Calculate the RANGE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

a)

7

b)

7.44

c)

8

d)

7 and 8

147.

How many 7th graders had an IQ score in the 81-90 range?

a)

13

b)

6.5

c)

3

d)

42

148.

What was the most common IQ range?

a)

91-100

b)

111-120

c)

12-130

d)

101-110

149.

Calculate the 5 number summary for the following data. You may use your graphing calculator.

a)

1791, 3162, 6163, 8578, 9400

b)

1791, 3815, 6472, 8924.5, 9400

c)

6197.44

d)

7609

150.

Find the Inter-Quartile Range (IQR). You may use your graphing calculator.

a)

7609

b)

8924.5

c)

2708

d)

5416

151.

How many people have two or less books in their desk?

a)

4

b)

5

c)

6

d)

7

152.

The graph below shows the number of sunny days and rainy days in a city during four months.

Based on the graph,how many more sunny days than rainy days did this city have during the months of April, May, and June?

a)

21

b)

56

c)

26

d)

20

153.

How many people purchased no food and no drink?

a)

60

b)

10

c)

20

d)

200

154.

Which measure of central tendency would best represent this data?

a)

Mean

b)

Median

c)

Mode

d)

Range

155.

Which measure of central tendency best represents this data?

a)

Mean

b)

Median

c)

Mode

d)

Range

156.

What is the range in gas mileage for cars?

a)

2

b)

3

c)

4

d)

6

157.

What is the Mean Absolute Deviation (M.A.D.) for this data?

14, 19, 26, 27, 39

a)

125

b)

6.8

c)

25

d)

34

158.

What 3 values could be entered for Wednesday, Thursday, Friday to give you a MEAN of 7?

a)

9,6,9

b)

2,3,5

c)

Any 3 numbers that add up to 20.

d)

All sevens

159.

If there is an outlier in your data (a point very far from the other data, or a very long whisker), what is the best measure of center to use and why?

a)

Median is best because the outlier skews the data.

b)

Mean is best because the outlier doesn't skew the data.

c)

Mode is always the best measure of center because it shows the most.

160.

What is the first step to solving for the Mean Absolute Deviation?

a)

Find the mean of the new set of numbers

b)

Find the mean of the given data set

c)

Subtract the mean from each original data point

161.

What is the second step to solving for the Mean Absolute Deviation?

a)

Find the mean of the new set of numbers

b)

Find the mean of the given data set

c)

Subtract the mean from each original data point

162.

What is the last step to solving for the Mean Absolute Deviation?

(Practice doing this WITHOUT the MAD button on the Desmos Calculator since you will not have access to it during the EOC)

a)

Find the mean of the new set of numbers

b)

Find the mean of the given data set

c)

Subtract the mean from each original data point

163.

Find the Mean Absolute Deviation of the set: 10, 5, 7, 14, 19, 32, 25

(Practice doing this WITHOUT the MAD button on the Desmos Calculator since you will not have access to it during the EOC)

a)

8

b)

16

c)

56

d)

112

164.

Find the Mean Absolute Deviation of the set: 56, 21, 55, 30, 34

(Practice doing this WITHOUT the MAD button on the Desmos Calculator since you will not have access to it during the EOC)

a)

39.2

b)

13.04

c)

196

d)

65.2

Algebra I EOC Review

Total questions: 164

Worksheet time: 9hrs 12mins

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