Free Printable Algebra Review

1.

Solve the following equation for v

42=6+9v

a)

5.33

b)

39

c)

4

d)

3

2.

Solve the following equation for w

5w + 5 = -90

a)

19

b)

-19

c)

17

d)

-17

3.

Solve for k

-20 = k - 2 + 8k

a)

-2

b)

2

c)

-3

d)

3

4.

Solve for z

2(z + 4) = 20

a)

14

b)

13

c)

7

d)

6

5.

Solve for m

-7 + 7m = 1 + 6m

a)

-6

b)

8

c)

-8

d)

6

6.

Solve for p

4(p - 2) = 2(p + 5)

a)

1

b)

6

c)

8

d)

9

7.

Solve for x

-130 = -5(4x + 2)

a)

7

b)

6

c)

-6

d)

-7

8.

Solve for v

4(8v - 8) = 192

a)

7

b)

5

c)

-5

d)

-7

9.

Solve for b

-108 = -b - 8(1 + 3b)

a)

-5

b)

4

c)

-4

d)

5

10.

Solve for x

6(x + 2) = 6 + 3x

a)

6

b)

-6

c)

2

d)

-2

11.

What is the algebraic expression for the phrase "5 more than 3 times a number?"

a)

8

b)

5 + 3x

c)

5 + 3 x 10

d)

3 + n + 5

12.

What is the algebraic expression for "a number tripled is equal to 18?"

a)

18 + 3 = n

b)

6

c)

3 x 6 = 18

d)

3n = 18

13.

What is the algebraic expression for "Twice x, decreased by 9?"

a)

9 - 2x

b)

2 + x - 9

c)

2x - 9

d)

2x / 9

14.

What is the expression for this word problem: six feet less than the width (use w for width).

a)

w - 6

b)

6 / w

c)

6 - w

d)

w / 6

15.

Simplify this expression (combine like terms):
x + x + x + x

a)

4 - x

b)

4x

c)

x

d)

x+4

16.

Simplify this expression (combine like terms):
3x + 3 - 1

a)

x - 1

b)

3x + 4

c)

3x + 2

d)

5x

17.

Simplify this expression (combine like terms):
6y + 5y + y - 2

a)

10y

b)

11y + y - 2

c)

12y - 2

d)

13y

18.

Simplify this expression (combine like terms):
6a + 1 - 2a

a)

4a + 1

b)

7a - 2a

c)

8a + 1

d)

6a + a

19.

Evaluate the expression if a=3 and b=6.
4a - b

a)

43 - 6

b)

37

c)

1

d)

6

20.

Evaluate the expression if x=2, y=3, and z=5.
xy - z

a)

10

b)

1

c)

23 - 5

d)

18

21.

Evaluate the expression if x=2, and z=5.
(10 + 5x) / z

a)

5

b)

3

c)

2

d)

4

22.

3+2c-4c-9+11c

a)

-9c+6

b)

12+3c

c)

9c-6

d)

-12-3c

23.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

24.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

25.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

26.

Solve the proportion.

a)

q=2

b)

q=9

c)

q=4.5

d)

q=6

27.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

28.

what does this equation help you find?

a)

the slope

b)

the y intercept

29.

Solve for y:

8x + 4y = 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

30.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

31.

Which set of numbers represents the range for the given coordinate?

{(-7,0), (8,-4), (-8,-8), (5,1), (-8,9)}

a)

{-7,8,-8,5}

b)

{0, -4, -8,1,9}

c)

{0, -4,8, -8,1,9}

d)

{-7,0, -8,8,5}

32.

Does the following represent a function?

{(-7,0), (8,-4), (-8,-8), (5,1), (-8,9)}

a)

Yes

b)

No

33.

The point (0,0) is called what?

a)

Y Axis

b)

X Axis

c)

Origin

d)

Quadrant

34.

Evaluate the function y = -x+17 to find the range for the domain values of {7,1,17).

a)

(24,18,34)

b)

(-7,-1,-17)

c)

(10,16,0)

35.

Choose all the graphs that do not represent a function.

a)

b)

c)

d)

36.

Which table does not represent a function?

a)

b)

c)

d)

37.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

38.

Which sets of ordered pairs are functions?

Choose all that apply.

a)

(9, -1), (8, -2), (7, -3), (6, -4)

b)

(5, -1), (5, -2,), (5,12), (5, 0)

c)

(4, 2), (-4, 2), (2, 4), (-2, -4)

d)

(1, -4), (2, -4,), (3, -4), (4, -4)

e)

(5, 8), (4, 9), (5, 9), (4, 8)

39.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

40.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

41.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

42.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

43.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 17

d)

x ≤ 10

44.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 5

d)

a < -5

45.

4(2a + 3) < 3(a - 1)

a)

a < -3

b)

a > -3

c)

a < 3

d)

a > 3

46.

Solve.

a)

a > -24

b)

a > 6

c)

a > -36

d)

a > -10

47.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

48.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

49.

Solve

a)

p ≤ -12

b)

p ≥ -12

c)

p ≤ 20

d)

p ≥ 20

50.

a)

e ≥ -4

b)

e ≥ 28

c)

e ≥ -12

d)

e ≥ 24

51.

a)

s > -25/3

b)

s > -10.6

c)

s > -12

d)

s < 16

52.

a)

x ≤ -28/3

b)

x ≤ 28/4

c)

x ≤ 16

d)

x ≤ -5.25

53.

a)

k ≤ 56

b)

k ≥ -35

c)

k ≤ 35

d)

k ≥ -56

54.

a)

t < -19

b)

t < -22

c)

t < -13

d)

t < -25

55.

a)

x > 39

b)

x < 6

c)

x < 13/3

d)

x > 5/9

56.

a)

n < 7

b)

n > 13

c)

n < 8

d)

n > 15

57.

a)

m ≤ -8/3

b)

m ≥ 15/4

c)

m ≥ 7/9

d)

m ≤ -4/5

58.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ -4

d)

No solution

59.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

60.

Graph the solution set of the inequality.

–4a ≤ –28

a)

b)

c)

d)

61.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

62.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

63.

What is the constant (k) in this inverse variation?

a)

12

b)

24

c)

48

d)

Not enough information given

64.

What is the constant (k) in this inverse variation?
y = 400/x

a)

x

b)

y

c)

400

d)

Not enough information given

65.

The equation
xy = 25 represents:

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

66.

Which of the following is NOT a direct variation?

a)

y = -2x

b)

y = 1/2x

c)

2x + 3y = 2

d)

3y = 4x

67.

For direct variation, you ______.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

68.

The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6.

a)

y=20x

b)

y=84x

c)

y=7/3x

d)

y=3/7x

69.

What kind of equation is this?
xy=8

a)

Linear Equation

b)

Direct Variation

c)

Inverse Variation

d)

Joint Variation

70.

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

a)

14

b)

10

c)

2

d)

-14

71.

Does the equation show an inverse variation?
y=10/x

a)

yes

b)

no

72.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

73.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

74.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

75.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

76.

Find the slope of:
2y + 8x = 6

a)

8

b)

-4

c)

3

d)

4

77.

Find the slope of:
y - 3x = 1

a)

-3

b)

1

c)

3

d)

0

78.

Give the y-interecept
3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(5, 0)

d)

(0, -3)

79.

Which equation represents slope intercept form?

a)

y=5+2x

b)

5y=x+5

c)

y=2x+5

d)

4y+2x=8

80.

Which represents slope in y=4x+3

a)

3

b)

4x

c)

4

d)

x

81.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

82.

What is the y-intercept in y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

83.

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

84.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

85.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

86.

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

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

87.

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

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

88.

Factor completely:

3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

89.

Factor the polynomial.
x²-4x-32

a)

(x-8)(x+4)

b)

(x-4)(x-32)

c)

(x+3)(x-4)

d)

x+2)(x+5)

90.

Factor
x²- 13x + 36

a)

A
(x + 9)(x + 4)

b)

B
(x - 9)(x - 4)

c)

C
(x + 9)(x - 4)

d)

D
(x - 9)(x + 4)

91.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

92.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

93.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

94.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

95.

Factor
n²-13n+40

a)

(n-5)(n-8)

b)

(n+5)(n-8)

c)

(n-5)(n+8)

d)

(n+6)(n+1)

96.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

97.

Factor
2x² - 13x - 70

a)

(2x-7)(x+10)

b)

(7x+5)(x+2)

c)

(2x+7)(x-10)

d)

2(x+7)(x+10)

98.

Factor
5x²-28x+32

a)

(3x-10)(x+6)

b)

(x-8)(5x-4)

c)

(5x-8)(x-4)

d)

(5x-8)(x+7)

99.

2(2x + 1) + 8x - 3

a)

12x -1

b)

12x - 5

c)

12x + 1

d)

12x + 6

100.

(3x² + 4x - 2) - (5x + 7)

a)

3x² - x - 9

b)

2x² - 9

c)

3x² + 9x - 5

d)

3x² - x + 5

101.

(x+3)(x+1)

a)

x²+3x+3

b)

2x+4x+3

c)

x²+4x+3

d)

5x + 3

102.

5x(2x + 3)

a)

10x²+ 15x

b)

7x + 15x

c)

7x² + 8x

d)

25x²

103.

2(2x + 3) + 5

a)

4x + 6x + 10

b)

4x + 10

c)

4x + 11

d)

4x + 16

104.

Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)

a)

3x³-2x²+3x+2

b)

3x³+x²+2

c)

3x³-5x²-2

d)

3x³-x²+1

105.

Add the following polynomials
(x³-6x²+3)+(3x³+4x-1)

a)

4x³-2x²+2

b)

4x³-6x²+4x+2

c)

-2x³+2x+2

d)

4x³-2x²-2

106.

Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)

a)

2x²+x+1

b)

2x²-5x+3

c)

2x²-x+1

d)

4x²-5x+3

107.

Subtract the following polynomials:
(2x³+6x²+4x-2)-(x³+4x²-x)

a)

x³+2x²+5x-2

b)

x³+10x²+3x-2

c)

3x³+2x+4x-3

d)

3x³+10x²-3x-2

108.

What is the GCF of the following polynomial?
2x³+4x²-12x?

a)

2

b)

4x

c)

x

d)

2x

109.

What is the GCF of the following polynomial?
4x²+6x-20

a)

1

b)

2

c)

4

d)

6

110.

a)

1/m²

b)

m²

c)

m⁸

d)

1/m⁸

111.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

112.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

113.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

114.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

115.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

116.

Divide 8x² -4x + 12 by 2x

a)

4x+2

b)

4x - 2 + 6/x

c)

4x-2

d)

4x-2+12/2x

117.

$\frac{6x^2+19x+3}{x+3}$

(a)

118.

$\frac{15x^2+19x+6}{5x+3}$

(a)

119.

$\frac{5x^2-9x-2}{x-2}$

(a)

120.

$\frac{36x^2-121}{6x+11}$

(a)

121.

$\frac{4x^2-17x+18}{x-2}$

(a)

122.

Using exponents, simplify the following expression:

5⁵* 5^-3

a)

5^-15

b)

5⁸

c)

5^-8

d)

5²

123.

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

a)

f¹⁶

b)

f⁴

c)

1/f⁴

d)

1/f¹⁶

124.

Using exponents, simplify the following expression:

z^-3* z⁶ * z^-3

a)

1

b)

z⁶

c)

z⁵⁴

d)

1/z⁶

125.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

126.

Rewrite using positive exponents

a)

2⁴

b)

1/2⁴

c)

4²

d)

1/4²

127.

Using exponents, simplify the following expression

a)

x^-7

b)

1/x⁷

c)

x⁷

d)

x^-9

128.

Which two exponent rules do you need to use to simplify this expression?

a)

Product Rule and Quotient Rule

b)

Power Rule and Negative Exponent Rule

c)

Power Rule and Product Rule

d)

Zero Rule and Power Rule

129.

a)

b)

2x²z⁴

c)

3x²y⁵z⁴

d)

130.

$\left(\frac{-8p^{10}}{7r^3}\right)^{^2}$

a)

-64p²⁰/ 49r⁶

b)

64p²⁰/ 49r⁶

c)

-8p²⁰/ 14r⁶

d)

-64p¹²/ 49r⁵

Algebra Review

Total questions: 130

Worksheet time: 8hrs 43mins

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