Free Printable Algebra I EOC Mega Review

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

F

b)

G

c)

H

d)

J

3.

a)

F

b)

G

c)

H

d)

J

4.

a)

F

b)

G

c)

H

d)

J

5.

a)

F

b)

G

c)

H

d)

J

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

F

b)

G

c)

H

d)

J

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

F

b)

G

c)

H

d)

J

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

F

b)

G

c)

H

d)

J

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

F

b)

G

c)

G

d)

J

19.

a)

F

b)

G

c)

H

d)

J

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

1.5

b)

45

c)

30

d)

46.5

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

a)

A

b)

B

c)

C

d)

D

31.

a)

F

b)

G

c)

H

d)

J

32.

a)

A

b)

B

c)

C

d)

D

33.

a)

A

b)

B

c)

C

d)

D

34.

a)

F

b)

G

c)

H

d)

J

35.

a)

a³b²

b)

a⁶b

c)

a⁶b²

d)

a⁹b²

36.

a)

a

b)

b

c)

c

d)

d

37.

a)

20√3 mi

b)

20√5 mi

c)

40√3 mi

d)

40√5 mi

38.

a)

z = 4/3(y+w)

b)

z = 3/4(y+w)

c)

z = 4/3w + y

d)

z = 4y/3 + w

39.

a)

2a² + a

b)

2a² + 5a

c)

3

d)

3a²

40.

a)

a² + 2ab - b²

b)

a² + b²

c)

a² - b²

d)

a² - 2ab - b²

41.

a)

y²

b)

y⁵

c)

y¹⁵

d)

y⁵⁰

42.

a)

(x+2)(x-8)

b)

(x-8)(x-2)

c)

(x-4)(x-2)

d)

cannot be factored

43.

a)

(x-4)²

b)

(x+4)(x-4)

c)

(x+4)²

d)

cannot be factored

44.

What is the range of the graph?
Remember: Range is y!

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

45.

What is the domain of the graph?
Remember: Domain is x

a)

1≤ x ≤ 4

b)

1 < x < 4

c)

1≤ y ≤ 4

d)

1 < y < 4

46.

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

47.

a)

a

b)

b

c)

c

d)

d

48.

Find the 8th term in the sequence

3, 5, 7, 9, 11, ...

a)

12

b)

15

c)

17

d)

18

49.

a)

a

b)

b

c)

c

d)

d

50.

a)

a

b)

b

c)

c

d)

d

51.

a)

a

b)

b

c)

c

d)

d

52.

The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.

What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted

a)

14 ft/yr

b)

3 ft/yr

c)

7 ft/yr

d)

10 ft/yr

53.

The graph of a quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents g?

a)

F

b)

G

c)

H

d)

J

54.

A part of the exponential function is graphed on the grid.

Which inequality best represents the domain of the part shown?

a)

$x\ge-2$

b)

$y\ge4.5$

c)

$x\ge4.5$

d)

$y\ge-2$

55.

A system of equations is graphed on the grid.

Which system of equations does the graph represent?

a)

y = -x - 4
y = 2x - 2

b)

y = -x + 4
y = 2x - 4

c)

y = x - 4
y = -2x - 2

d)

y = x + 4
y = -2x - 4

56.

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?

a)

The graph of g is a reflection of the graph of f across the x-axis.

b)

The vertex of the graph of graph g is 9 units to the right of the vertex of the graph of f.

c)

The graph of g is a reflection of the graph of f across the y-axis.

d)

The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

57.

Which graph best represents $y=10\left(0.85\right)^x?$

a)

$F$

b)

$G$

c)

$H$

d)

$J$

58.

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

Which equation is best represented by this graph?

a)

$y+2=\frac{7}{5}\left(x+7\right)$

b)

$y-2=\frac{7}{5}\left(x-7\right)$

c)

$y+2=\frac{5}{7}\left(x+7\right)$

d)

$y-2=\frac{5}{7}\left(x-7\right)$

59.

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

60.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

61.

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

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

62.

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

a)

No solution

b)

n = 0

c)

All real solutions

d)

n = -2

63.

Simplify completely

a)

3x⁵y⁷

b)

(1/3)x⁻⁷y⁵

c)

y⁵/3x⁷

d)

1/3x²

64.

|x+3| = 7

a)

4

b)

-4

c)

4 and - 4

d)

4 and - 10

65.

What are the following equations?
y = 3x - 5
6x - 2y = 10

a)

Parallel

b)

Identical

c)

Perpendicular

d)

Intersecting

66.

What is the equation of the line parallel to
y = 3x - 8 that passes through the point (4, 2)?

a)

y = 3x - 8

b)

y = 3x - 2

c)

y = 2x - 8

d)

y = 3x - 10

67.

Simplify.
a² b⁰ a^-3

a)

a

b)

1/a

c)

ab

d)

1/(a³)

68.

What is the value of x in the solution to the system of equations below?
15x − 12y = 13
30x + 9y = 4

a)

-17/3

b)

1/3

c)

-2/3

d)

1/6

69.

Which inequality is equivalent to
−3x + 2y > 5y + 9?

a)

y > x + 3

b)

y > −x − 3

c)

y < x − 3

d)

y < −x − 3

70.

Solve the inequality below:

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

a)

$x<-1$

b)

$x>1$

c)

$x>-4$

d)

$x\le3$

71.

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)

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

72.

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)

$x=0\ and\ x=1$

73.

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)

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

74.

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)

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

75.

a)

Function

b)

Not a Function

76.

a)

Function

b)

Not a Function

77.

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

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

78.

Find the product.

(m - 8)(m - 9)

a)

m²-17m+72

b)

m²-17m-72

79.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

80.

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

a)

8

b)

11

c)

-11

d)

-8

81.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

82.

Add:

(3x² - 3x + 2) + (x² - 2x + 1)

a)

4x³- 2x² + 2

b)

4x² - 5x + 3

c)

-2x³ + 2x + 2

d)

4x³ - 2x² - 2

83.

Write an equation that models the following situation:

The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.

a)

y= 6500(1+.14)^x

b)

y= 6500(1-.14)^x

c)

y= 6500(14)^x

d)

y= 14(6500)^x

84.

Which of the followings functions shows an initial amout of $15 and an increase of 35% ?

a)

y=15(35)^x

b)

y=15(1.35)^x

c)

y=15(0.35)^x

d)

y=35(15)^x

85.

a)

Function

b)

Not a Function

86.

f(x)=2x+2

for x = 4

a)

6

b)

-8

c)

10

d)

0

87.

For what value of x does f(x) = -2?

a)

0

b)

-5

c)

3

d)

-3

88.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

89.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

90.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

91.

Identify the function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the Above

92.

Identify the function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the Above

93.

Identify the function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the Above

94.

Identify the function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the Above

95.

Identify the function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the Above

96.

Identify the function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the Above

97.

Identify the function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the Above

98.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Write the equation that represents this situation.

a)

y = 6x + 2

b)

y = 2x + 6

c)

y = 6(2)^x

d)

y = 2(6)^x

99.

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

a)

linear

b)

quadratic

c)

exponential

d)

none of the above

100.

Which of the piecewise functions matches this graph?

a)

b)

c)

d)

101.

Solve | 3x - 6 | - 9 = -3

a)

No Solution

b)

x = 0 or x = 4

c)

x = 2 or x = -2

d)

x = -4 or x = 4

102.

Solve 3| −8x| + 8 = 80

a)

{-7/3, 7/3}

b)

{-3,3}

c)

{11/3,-11/3}

d)

No Solution

103.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

104.

Which graph matches the function:
y = -2|x - 3| + 5

a)

A

b)

B

c)

C

d)

D

105.

1. What is this type of function called?

a)

Discrete Function

b)

Segment Function

c)

Step Function

d)

Jump Function

e)

Linear

106.

How much does it cost to rent the Karaoke machine for 3 days?

a)

$50

b)

$100

c)

$150

d)

$175

107.

Which table best represents the function above?

a)

b)

c)

d)

108.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

109.

Simplify

√45n³

a)

3n√5n

b)

4n√8

c)

4n√-8

d)

10√n

110.

SIMPLIFY:

a)

A

b)

B

c)

C

d)

D

111.

a)

A

b)

B

c)

C

d)

D

112.

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

a)

A

b)

B

c)

C

d)

D

115.

a)

A

b)

B

c)

C

d)

D

116.

a)

A

b)

B

c)

C

d)

D

117.

a)

A

b)

B

c)

C

d)

D

118.

2√3(√6 - √3)

a)

6√2 - 6

b)

3√2 + 3

c)

6 - √3

d)

√3 - √2

119.

Find the zeros.

a)

0 and 4

b)

0 and -4

c)

0

d)

-4

120.

Solve using any method.

x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

121.

Solve the equation using any method:

4x²+2x - 6 = 0

a)

x = 1 & -1.5

b)

x = -1 & 1.5

c)

x = (-2 ±√92)/8

d)

x = (-2 ± √100)/8

122.

Solve for x:

(x + 6)²= 49

a)

x=7,12

b)

x=±7

c)

x=1,-13

d)

x=43,-55

123.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

124.

Convert x²- 9x + 20 to factored form and solve.

a)

(x-10)(x+2); x = -2, 10

b)

(x+4)(x+5); x = -5, -4

c)

(x-4)(x-5); x = 4, 5

d)

Not factorable

125.

What are the roots / zeros / solutions of the equation
$x^2-14x+48=0$ ?

a)

-6\ and\ -8

b)

$-6\ and\ 8$

c)

$6\ and\ -8$

d)

$6\ and\ 8\$

126.

$The\ solutions\ of\ 2x^2-8x\ =\ 0\ are$

a)

$-2\ and\ \ 2$

b)

$0,\ -2,\ and\ \ 2$

c)

$0\ and\ -4$

d)

$0\ and\ 4$

127.

Factor Completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

128.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

129.

Which is the correct graph of the function:

a)

b)

c)

d)

130.

Using the graph of the quadratic function, identify the y-intercept.

a)

(4, -6)

b)

(0, 2)

c)

(.5, 0)

d)

(7.5, 0)

131.

What is the y-intercept of this quadratic function: 7x² + 2x - 3 = y?

a)

0

b)

7

c)

2

d)

-3

132.

Which of the following equations is written in the standard form for quadratic equations?

a)

8x + 4y = 12

b)

y = 4x² - 7x + 11

c)

3x² + 2x = 1

d)

2x² - x³ + 14 = y

133.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

134.

Which answer choice describes
y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

135.

What is the vertex of the parabola: y=2(x-3)²+4

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

136.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

137.

What are the roots of the function
f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

138.

Find the zeros.

a)

0 and 4

b)

0 and -4

c)

0

d)

-4

139.

What is the range of this quadratic function?

a)

All real numbers.

b)

All real numbers greater than or equal to 2.

c)

All real numbers greater than or equal to 4.

d)

All real numbers less than or equal to 4.

140.

Which quadratic function has a vertex below the origin and opens upward?

a)

y= -x² + 3

b)

y= -x² - 1

c)

y= x² + 5

d)

y= x² - 2

141.

Which of the following is the vertex of the graph of the equation
y= -x²+2x+3?

a)

(0,3)

b)

(-1,0)

c)

(1,4)

d)

(3,0)

142.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 and up 5

b)

Right 3 and down 5

c)

Left 3 and down 5

d)

Right 3 and up 5

143.

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

a)

horizontal shift left 7 units

b)

horizontal shift right 7 units

c)

vertical shift up 7 units

d)

vertical shift down 7 units

144.

Match the equation to its description.

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

145.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

146.

Vertical or horizontal?
y = 10

a)

vertical

b)

horizontal

c)

neither

147.

Classify:
2x⁴+14x³−2x²

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

148.

Classify:
6x³+3x²+2x−4

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

149.

Classify by degree of polynomial:
-2x² – x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

150.

Name and Classify the Polynomial:
3x²y + x + y

a)

quadratic trinomial

b)

cubic trinomial

c)

linear binomial

d)

quadratic binomial

151.

two-term polynomial

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

152.

What is the highest degree among terms in this polynomial?

6x² + 7x⁴ + x³+ x

a)

1

b)

2

c)

3

d)

4

153.

Solve the system of Equation (x,y)
x + 3y = 18
–x –4y = –25

a)

(3,7)

b)

(-3,7)

c)

(7,-3)

d)

(-3,-7)

154.

Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9

a)

(-5,1)

b)

(5,-1)

c)

(1,4)

d)

(-1,4)

155.

Solve the system of Equation (x,y)
–2x + y = 10
4x – y = –14

a)

(1,5)

b)

(6,2)

c)

(-2,6)

d)

(4,6)

156.

Solve the system of equations.

a)

(11, 21)

b)

(3, 11)

c)

(11, -67)

d)

No solution

e)

Infinite solutions

157.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

158.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

159.

Mrs. Petragnani wants to go to the zoo with her family. A family membership costs $25 plus an additional $3 for each child’s pass. She spent $37 for a membership and passes. How many child passes did she buy?

a)

Mrs. Petragnani bought 4 child passes.

b)

Mrs. Petragnani bought 3 child passes.

c)

Mrs. Petragnani bought 5 child passes.

Algebra I EOC Mega Review

Total questions: 159

Worksheet time: 12hrs 52mins

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