Free Printable Algebra 1 Exam Review

1.

Who is your Math Teacher?

(a)

2.

Hour You Have Your Math Class:

(a)

3.

What is the result of the expression: $\left(2-6\div6\right)$

a)

A) 1

b)

B) 0

c)

C) -1

d)

D) 2

4.

What is the result of the expression $\left(6-\left(4-2\right)\right)$ ?

a)

A) 2

b)

B) 4

c)

C) 6

d)

D) 8

5.

What is the result of the expression: $\left(12\div-3-\left(-8\right)\right)$ ?

a)

A) 0

b)

B) 4

c)

C) -4

d)

D) 8

6.

What is the result of the expression: $(9-24\div-8-(-5))$

a)

A) 14

b)

B) 12

c)

C) 18

d)

D) 20

7.

Using x = -2 and y = 5, what is the result of the expression: $(5x^2-(x+y))$ ?

a)

A) 15

b)

B) 17

c)

C) 19

d)

D) 21

8.

Solve the equation: $6x-5x=0$

a)

x = 0

b)

x = 1

c)

x = 5

d)

x = 10

9.

Solve the equation: $17=n+2+4n$

a)

n = 3

b)

n = 5

c)

n = 4

d)

n = 6

10.

Solve the equation: -6n - 12(-1n + 8) = -10(n - 4)

a)

n = -8

b)

n = 8

c)

n = -4

d)

n = 4

11.

Solve the equation: $\left|5x\right|=30$

a)

x = 6

b)

x = -6

c)

x = 5

d)

x = -5

12.

Using paper, what is the answer: $\sqrt[3]{729}$

a)

27

b)

9

c)

81

d)

64

13.

What is the simplified form of the expression: $(n^3*2n)$ ?

a)

A) ( 2n^4 )

b)

B) ( 2n^3 )

c)

C) ( n^6 )

d)

D) ( 3n^3 )

14.

What is the result of simplifying the expression: $\left(a^2\cdot a^0\right)$

a)

A) ( a^2 )

b)

B) ( a )

c)

C) ( 2a )

d)

D) ( a^1 )

15.

What is the result of simplifying the expression: $(7n^4-14-5n^3)-(7-8n^3+11n^4)$ ?

a)

2n^4 + 3n^3 - 7

b)

-2n^4 - 3n^3 + 21

c)

18n^4 - 3n^3 - 21

d)

-18n^4 + 13n^3 + 7

16.

What type of polynomial is: $6p^4+10p^3$ ?

a)

Quadratic trinomial

b)

Cubic binomial

c)

Quartic binomial

d)

Quintic monomial

17.

What is the degree and number of terms for the polynomial -8n + 3?

a)

Degree 1, binomial

b)

Degree 1, trinomial

c)

Degree 2, binomial

d)

Degree 3, monomial

18.

What is the simplified form of the expression: $\left(12x+10x^3-7\right)+\left(6x^3+14+4x\right)$

a)

16x^3 + 16x + 7

b)

18x^3 + 16x - 7

c)

16x^3 + 16x + 21

d)

18x^3 + 16x + 7

19.

Which expression represents the factorization of $(p^2-9p+18)$ ?

a)

((p - 3)(p - 6))

b)

((p - 9)(p + 2))

c)

((p + 3)(p - 6))

d)

((p + 9)(p - 2))

20.

What is the factored form of $(4n^2-25)$ ?

a)

((2n - 5)(2n + 5))

b)

((4n - 5)(n + 5))

c)

((2n - 25)(2n + 1))

d)

((4n - 25)(n + 1))

21.

How can the expression (9x^2 + 24x + 16) be factored?

a)

((3x + 4)^2)

b)

((9x + 16)(x + 1))

c)

((3x + 2)(3x + 8))

d)

((9x + 4)(x + 4))

22.

Which equation is correctly factored as (3x + 1)(x + 4) = 0?

a)

x^2 + 7x = 8

b)

3x^2 + 12x + 9 = 0

c)

3x + 1x + 4 = 0

d)

3x^2 + 13x + 4 = 0

23.

Which equation should be solved using the quadratic formula?

a)

x^2 - 3x - 18 = 0

b)

x^2 + 12x + 9 = 0

c)

4m^2 = 24 - 10r

d)

n^2 = -9 - 6n

24.

What is the inequality represented by the graph with a blue arrow starting at 4 and pointing to the right?

a)

x ≥ 4

b)

x ≤ 4

c)

x > 4

d)

x < 4

25.

Which inequality corresponds to the graph where the arrow points left from -5?

a)

n ≤ -5

b)

n ≥ -5

c)

n > -5

d)

n < -5

26.

Which of the following represents the solution to the inequality 5x - 10 or 3x ≤ -18?

a)

x ≤ -6 or x ≥ 3

b)

x ≥ -6 or x ≤ 3

c)

x ≤ -6 or x ≤ 3

d)

x ≥ -6 or x ≥ 3

27.

What is the solution set for the inequality -1 < 3 + r ≤ 4?

a)

-3 < r ≤ 2

b)

-4 < r ≤ -1

c)

-1 < r ≤ 4

d)

-4 < r ≤ 3

28.

For the inequality |3x| ≥ 15, which of the following is the correct solution?

a)

x ≤ -5 or x ≥ 5

b)

x ≤ -5 or x ≥ 3

c)

x ≥ -5 or x ≤ 5

d)

x ≥ -3 or x ≤ 3

29.

Which inequality is represented by the solution graph -4 < |k - 5| < 5?

a)

1 < k < 14

b)

1 < k < 10

c)

9 < k < 14

d)

9 < k < 10

30.

What is the solution set for the inequality 9 - 6|p| ≤ 57?

a)

-8 ≤ p ≤ 8

b)

-9 ≤ p ≤ 9

c)

-10 ≤ p ≤ 10

d)

-11 ≤ p ≤ 11

31.

What is the simplified form of the expression √8?

a)

2√2

b)

4

c)

2

d)

√4

32.

What is the simplified form of the expression $\sqrt[]{27}$ ?

a)

3√3

b)

9

c)

5

d)

√9

33.

What is the simplified form of the expression $3\sqrt{486v^3}$ ?

a)

9v √6

b)

27v^2

c)

3v √486

d)

18v √3

34.

What is the simplified form of the expression $-5\sqrt[]{256x}$ ?

a)

-80x

b)

-5x√256

c)

-40x

d)

-160x

35.

What is the simplified form of the expression √2 · √4?

a)

2

b)

4

c)

√8

d)

8

36.

What is the slope of the line shown in the diagram?

a)

5

b)

-5

c)

5/4

d)

-5/2

37.

What is the slope of the line shown in the diagram?

a)

5

b)

-5

c)

5/4

d)

-5/2

38.

What is the slope of a line parallel to the line represented by the equation x = 4y?

a)

1/4

b)

4

c)

-4

d)

0

39.

What is the slope of a line parallel to the line represented by the equation y - 1 = 4x?

a)

1/4

b)

4

c)

-4

d)

0

40.

Calculate the slope of the line passing through the points (17, 2) and (-3, -4).

(a)

41.

Calculate the slope of the line passing through the points (4, -18) and (-12, 20).

a)

-19/8

b)

-19/4

c)

-38/16

d)

-3/2

42.

Sketch the graph of the line y = x - 3.

a)

Line passing through (0, -3) with a positive slope

b)

Line passing through (0, 3) with a negative slope

c)

Line passing through (3, 0) with a negative slope

d)

Line passing through (-3, 0) with a positive slope

43.

Sketch the graph of the line y = 4x - 2.

a)

Line passing through (0, -2) with a positive slope

b)

Line passing through (0, 2) with a negative slope

c)

Line passing through (2, 0) with a negative slope

d)

Line passing through (-2, 0) with a positive slope

44.

Sketch the graph of the line y + 6x = 3.

a)

Line passing through (0, 3) with a negative slope

b)

Line passing through (0, -3) with a positive slope

c)

Line passing through (3, 0) with a positive slope

d)

Line passing through (-3, 0) with a negative slope

45.

Sketch the graph of the line 0 = -8x - 15 + 3y.

a)

Line passing through (0, -5) with a positive slope

b)

Line passing through (0, 5) with a negative slope

c)

Line passing through (5, 0) with a negative slope

d)

Line passing through (-5, 0) with a positive slope

46.

What is the slope-intercept form of the equation for the line shown in problem 143?

a)

y = 2x + 2

b)

y = -2x - 2

c)

y = 2/3x + 2

d)

y = 2/3x + 1

47.

What is the slope-intercept form of the equation given the slope = -1/3 and y-intercept = 5?

a)

y = -1/3x + 5

b)

y = 1/3x - 5

c)

y = -1/3x - 5

d)

y = 1/3x + 5

48.

What is the slope-intercept form of the equation of the line that passes through the point (3, 1) with a slope of 4/3?

a)

y = 4/3x - 3

b)

y = 4/3x + 3

c)

y = 4/3x + 1

d)

y = 3/4x + 1

49.

What is the slope-intercept form of the equation of the line that passes through the points (-3, -2) and (1, -1)?

a)

y = 1/4x - 7/4

b)

y = 1/4x + 5/4

c)

y = -1/4x - 3/2

d)

y = 1/4x - 3/2

50.

Which inequality represents the graph shown?

a)

y > x - 4

b)

y < x - 4

c)

y > -x + 4

d)

y < -x + 4

51.

Which inequality represents the graph shown?

a)

y ≤ -1/3x - 3

b)

y ≥ -1/3x - 3

c)

y ≤ 1/3x + 3

d)

y ≥ 1/3x + 3

52.

What is the solution to the system of equations: $y=\frac{1}{3}x+4$ and $y=-\frac{4}{3}x-1$ by graphing?

a)

(3, 5)

b)

(-3, 3)

c)

(5, 5)

d)

(-15, -1)

53.

What is the solution to the system of equations: y = -x + 1 and y = -1/4x - 2 by graphing?

a)

(-4, 5)

b)

(4, -3)

c)

(0, 1)

d)

(-4, -3)

54.

What is the solution to the system of equations: x + 5y = 20 and -3x - 5y = -20 by substitution?

a)

(0, 4)

b)

(5, 3)

c)

(10, 2)

d)

(15, 1)

55.

What is the solution to the system of equations: 7x + y = 7 and -7x - 8y = -7 by substitution?

a)

(1, 0)

b)

(0, 1)

c)

(1, 1)

d)

(0, 0)

56.

What is the solution to the system of equations: 5x + y = 13 and x + 2y = 1 by elimination?

a)

(3, 2)

b)

(2, -3)

c)

(3, -2)

d)

(2, 3)

57.

What is the solution to the system of equations: 6x - 9y = -30 and -x + 18y = 5 by elimination?

a)

(-1, 0)

b)

(0, 1)

c)

(1, 0)

d)

(0, -1)

58.

What is the solution for g(x) when x = -6 if g(x) = 4x - 1?

a)

-25

b)

-23

c)

-24

d)

24

59.

What is the value of h(a) when a = 2 if h(a) = 2a - 1?

a)

3

b)

4

c)

5

d)

2

60.

What is the value of f(x) when x = 1 if f(x) = 2 - 2^x?

a)

0

b)

1

c)

-1

d)

2

61.

What is the value of p(t) when t = 2 if p(t) = -3 + |t + 1|?

a)

0

b)

2

c)

-2

d)

-1

62.

What is the value of g(n) when n = -n if g(n) = 3n + 1?

a)

1 - 3n

b)

3n - 1

c)

-3n + 1

d)

3n + 1

63.

What is the value of h(n) when n = -1 - n if h(n) = 2n + 2?

a)

-2n

b)

0

c)

2

d)

-2

64.

What is the result of g(-10) + f(-10) if g(x) = x + 5 and f(x) = -x + 1?

a)

-4

b)

-14

c)

6

d)

0

65.

What is the result of f(-5) + g(-5) if f(x) = 3x + 5 and g(x) = -x - 3x^2 - x?

a)

-5

b)

-75

c)

-80

d)

80

66.

What is the result of the function operation ( h(10) - g(10) ) where h(a) = 3a + 1 and g(a) = -a + 1?

a)

A) 31

b)

B) 29

c)

C) 32

d)

D) 30

67.

For the functions g(t) = 2t + 1 and h(t) = 3t + 3, what is the product g(5) * h(5)?

a)

A) 150

b)

B) 160

c)

C) 140

d)

D) 130

68.

If f(n) = 2n^3 + 5n and g(x) = x^3 + 5x, what is the result of g(x) - f(x)?

a)

A) -2x^3

b)

B) -x^3

c)

C) x^3

d)

D) 2x^3

69.

Given h(x) = 4x - 2 and g(x) = 3x^2 + 1, what is h(x) * g(x)?

a)

A) 12x^3 + 2x

b)

B) 12x^3 - 2x

c)

C) 12x^2 + 2x

d)

D) 12x^2 - 2x

70.

Simplify the following expression: $\sqrt[]{20}$

a)

4√5

b)

√10

c)

5√4

d)

2√5

71.

Simplify the following expression: $\frac{2}{\sqrt[]{2}}$

a)

2√1

b)

2√2

c)

2

d)

√2

72.

Solve the following expression: $\sqrt[]{200}$

a)

No real solution

b)

2√10

c)

10√2

d)

5√2

73.

Calculate the result in your brain: $\sqrt[]{16}$

(a)

74.

Solve this:

Smaller number first and then bigger number

(a)

75.

Find the zero(s) of f. No need to round (these should be perfect)

Type the answers from negative to positive (left to right)

(a)

76.

Determine the number of real solutions of the equation! Then solve the equation using square roots

$x^2=25$

a)

x = ±2

b)

x = ±5

c)

x = ±4

d)

x = ±3

77.

Solve this equation by using square roots

$x^2-16=0$

a)

x = ±2

b)

x = ±8

c)

x = ±6

d)

x = ±4

78.

Solve this equation using square roots!

$3x^2+12=0$

a)

x = ±2

b)

x = ±4

c)

x = ±5

d)

x = no real solution

79.

Solve using the quadratic formula: $x^2-12x+36=0$

**Quadratic Formula: $x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

a)

x = 3

b)

x = 8

c)

x = 10

d)

x = 6

80.

Give me the quadratic formula:

a)

b)

c)

d)

81.

How many numbers of solutions does this equation have?

$x^2-6x+10=0$

a)

no real solution

b)

3 solutions

c)

2 solutions

d)

1 solution

e)

all real solutions

82.

Rationalize the denominator and solve: $\frac{3}{\sqrt[]{5}-\sqrt[]{2}}$

a)

√6 + √12

b)

√5 + √2

c)

√3 + √7

d)

√4 + √3

83.

Solve this: $\sqrt[3]{-108}$

a)

b)

c)

d)

84.

Rationalize the denominator and solve: $\frac{5}{6+\sqrt[]{5}}$

a)

b)

c)

d)

85.

Solve this system:

The answer is infinite solutions but one of the answers below is correct

a)

x = 2, y = 2

b)

x = 1, y = 1

c)

x = -1, y = -1

d)

x = 0, y = 0

86.

Find the domain of the following: $h\left(x\right)=\sqrt[]{x-4}$

a)

x ≥ 4

b)

x = 4

c)

x ≤ 4

d)

x > 4

87.

Find the domain of the following: $m\left(x\right)=2\sqrt[]{x+4}$

a)

x ≥ -4

b)

x > -4

c)

x ≤ -4

d)

x = -4

88.

Find the range of the following equation: $y=\sqrt[]{x}+5$

a)

y ≤ -5

b)

y ≤ 5

c)

y = 5

d)

y ≥ 5

89.

Find the range of this following equation: $f\left(x\right)=-\sqrt[]{x-3}$

a)

y > 0

b)

y ≥ 0

c)

y ≤ 0

d)

y = 0

90.

The graph of which function is shown

a)

b)

c)

d)

91.

Graph the function $f\left(x\right)=\sqrt[3]{x-4}$ ! Compare your graph to the graph of $f\left(x\right)=\sqrt[3]{x}$

*The picture of the graph on the left is the $f\left(x\right)=\sqrt[3]{x}$

a)

The graph is translated 4 units left from the parent function

b)

The graph is translated 4 units right and 2 up to the parent function

c)

The graph is translated 2 left and 4 down of the parent function

d)

The graph is translated 4 units right of the parent function

92.

Graph the function $f\left(x\right)=\sqrt[3]{x}+5$ ! Compare your graph to the graph of $f\left(x\right)=\sqrt[3]{x}$

*The picture of the graph on the left is the $f\left(x\right)=\sqrt[3]{x}$

a)

The graph was translated 5 to the right from the parent function

b)

The graph was translated 5 down from the parent function

c)

The graph was translated 5 up from the parent function

d)

The graph was reflected over the x-axis from the parent function

93.

Solve the equation $\sqrt[]{x}=9$ ! Check your solution!

Please upload your work here for this problem

Your problem will start as x = (a)

94.

Solve this equation $7=\sqrt[]{m}-5$

Make sure you upload your work

Make sure your answer is m = (a)

95.

Solve this equation $3\sqrt[]{y}-18=-3$

Please upload your work

Make sure you start with y= (a)

96.

Select all that apply!

a)

Golfer B range was 8

b)

Golfer A had the greatest range

c)

Golfer A range was 12

d)

Golfer A range was 15

e)

Golfer B had the greatest range

97.

Find the (a) range and (b) standard deviation of the data set!

a)

The range is 2

b)

The standard deviation is about 10

c)

The standard deviation is about 9.27

d)

The range is 30

e)

The range is 25

98.

Find the (a) range and (b) standard deviation of the data set!

a)

The standard deviation is about 0.65

b)

The range is 20

c)

The range is 12

d)

The range is 2

e)

The standard deviation is about 1.65

99.

Find the error about this students work!

Hint: It is something about the range, so what is the range

a)

The range is 24

b)

The range is 17

c)

The range is 26

d)

The range is 30

e)

The range is 7

100.

Solve the following: $\sqrt[]{x}=9$

Below use x= (a)

101.

Solve the following: $\sqrt[]{a-3}+5=9$

a)

a = 36

b)

a = 25

c)

a = 19

d)

a = 12

102.

Solve the following: $7+3\sqrt[]{3p-9}=25$

Use p= (a)

103.

Solve the following: $\sqrt[]{2x-9}=\sqrt[]{x}$

Use x=_

(a)

104.

Solve the following: $\sqrt[]{2c+1}-\sqrt[]{4c}=0$

a)

c = 1

b)

c = -1

c)

c = 2

d)

c = 0.5

105.

Solve the following: $y=\sqrt[]{5y-4}$

Select the 2 correct answers

a)

y = 2

b)

y = 3

c)

y = 4

d)

y = 1

106.

Solve the following: $\sqrt[]{-14-9x}=x$

a)

x = -1 or x = -4

b)

all real solutions

c)

no real solution

d)

x=3

107.

Solve the following: $\sqrt[]{1-3a}=2a$

This is a fraction, please type it as a = __/__!

(a)

108.

Solve the following: $\sqrt[]{3n}-11\ =\ -5$

a)

n = 12

b)

n = 7

c)

n = 64

d)

n = -9

109.

Solve this: $15+\sqrt[]{4b-8}=13$

a)

no real solutions

b)

b = 6

c)

all real solutions

d)

b = 12

110.

Find the solution(s) of the system of the equations shown! Select all that applies!

Hint: There is only one answer

a)

(0,1)

b)

(2,3)

c)

(0,-1)

d)

no real solution

111.

The frequency table shows the numbers of hours that students volunteer per month. Display the data in a histogram. Describe the shape of the distribution!

a)

Median

b)

Symmetric

c)

skewed left

d)

skewed right

112.

Describe the shape of the distribution of the data!

It is either skewed right or left

a)

skewed right

b)

skewed left

c)

median

d)

no solution

113.

Select all that apply (3 answers):
Determine which measures of center and variation best represent the data!

a)

The mean

b)

Standard Deviation

c)

Not symetric

d)

Symetric

e)

None of the above

114.

What type of function is this?

a)

Quadratic Function

b)

Exponential

(Growth)

(Decay)

c)

Absolute Value

d)

Linear

115.

What type of function is this?

a)

Absolute Value

b)

Linear

c)

Quadratic

d)

Exponential

(Growth)

(Decay)

116.

What type of function is this?

a)

Exponential

(Growth)

(Decay)

b)

Linear

c)

Quadratic

d)

Absolute Value

117.

What type of function is this?

a)

Linear

b)

Absolute Value

c)

Exponential

(Growth)

(Decay)

d)

Quadratic

118.

Using the information below: Construct a Two-Way Frequency Table:

A survey was conducted to determine kids and adults’ favorite sweet treat. Of the 500 people surveyed 40% were adults. A total of 170 people chose ice cream, 75 chose cake, and 160 chose brownies. There were 125 kids that chose ice cream, but only 35 kids that chose cake. There were ten less adults that chose cookies than cake.

Question: How many adults said they liked ice cream

UPLOAD YOUR WORK FOR CREDIT

Type Done Once Completed!

(a)

119.

What percent of the total people surveyed is an adult who chose a cookie?

(a)

120.

What does this show?

The most popular radio station?

There are 2 answers for this one

a)

Categorical (C)

b)

Quantitative Discrete (QD)

c)

Quantitative Continuous (QC)

121.

What does this show?

The kinds of pets owned by students in the freshman class!

a)

Categorical (C)

b)

Quantitative Discrete (QD)

c)

Quantitative Continuous (QC)

122.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

123-126.

123.

For #1, what is the MEDIAN of it?

(a)

124.

For #2, what is the mean?

(a)

125.

Using the photo to the left, what is the mode of the photo?

Number 3 on paper

a)

92

b)

69

c)

29

d)

31

e)

None

126.

For #3, what is the range?

Hint: Put them in order first

(a)

Algebra 1 Exam Review

Total questions: 123

Worksheet time: 2hrs 0mins

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