Free Printable Fundamentals Summer School Final

1.

3x + 2x + 5y =

(a)

2.

3x + 2x + 6y + 3
Which are like terms?

a)

6y and 3

b)

2x and 3

c)

3x and 3

d)

3x and 2x

3.

3x + 3x + 3x - 3x - 3x - 3x - 3x =

(a)

4.

How many terms are in this expression?

2x + 3y - 4x + 3

(a)

5.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

6.

Rewrite the expression by combining like terms.
2x² + 10x + 5x² + 25x

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6xy + y

7.

Rewrite the expression by combining like terms.
5x² + 5y + 2x² + 4y² – 4x² + 2y² - 4y

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6y² + y

8.

Rewrite the expression by combining like terms.
8xy + 7x² + 6y – 4x² - 5xy

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6y² + y

9.

Rewrite the expression by combining like terms.
3y + 5x² + 10x + 2x² + 15x – 3y

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 25x

d)

3x² + 6y² + y

10.

Rewrite the expression by combining like terms.
y²+ 4xy + 4 x + 5y²– 2xy – 2x

a)

3x² + 3xy + 6y

b)

6y² + 2xy - 2x

c)

7x² + 35x

d)

3x² + 6y² + y

11.

8(3 + 4) =

a)

24 + 32

b)

11 + 12

c)

123 + 124

d)

5 + 4

12.

2(4x - 7)

a)

8x + -14

b)

8x-7

c)

6x+7

d)

8x+14

13.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

14.

8(3x + 4) =

(a)

15.

Simplify: -3(2c -5)

(a)

16.

Match the expression to its equivalent: -3(x-2)

a)

-3x+-2

b)

-3x+6

c)

3x+6

d)

6x

17.

Simplify

-2x - 4(4x - 8)

(a)

18.

Simplify:

3x - (x - 6) - 12

(a)

19.

Simplify the following expression:

x + 4 - 7(x - 5)

(a)

20.

Simplify the following expression:

-7x +5 (1 - 8x)

(a)

21.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

22.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

23.

Evaluate if a = 2 and b = 8
6 + 7b - 3a

a)

-100

b)

100

c)

-56

d)

56

24.

Evaluate if a = 2 and b = 8

6 + 7b - 3a

(a)

25.

c² + a; for a = 9 and c = 10

(a)

26.

8y + 12 - 2z

for y = 4 and z = 2

(a)

27.

Evaluate the expression for n = 2 and p = 7.

np =

(a)

28.

3x + 8 if x = 2

(a)

29.

Evaluate 2r + 1 if r = 3

(a)

30.

Evaluate m² + 12q if m = 5 and q = -3

(a)

31.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

32.

123 = x - 62

How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Subtract 123 to each side.

e)

Add 123 to each side.

33.

-10 = m - 5

(a)

34.

-15 = -16 + x

(a)

35.

20 = 12 + x

(a)

36.

Solve the following equation.

15 = w + 8

(a)

37.

Solve the following equation.

15 = w - 8

(a)

38.

Solve the following equation.

4 = w + 7

(a)

39.

What is the correct step to solve for the variable?

-8 = -3 + h

a)

subtract 3 from both sides

b)

add 3 to both sides

c)

add 8 to both sides

d)

subtract 8 from both sides

40.

Solve the following equation.

-14 = 12 + x

(a)

41.

Solve the following equation.

9 = -9 + x

(a)

42.

Solve the following equation.

-10 = -9 + x

(a)

43.

Solve:

5b = 25

(a)

44.

Solve:

7z = 56

(a)

45.

What is the first step to solve the following equation:

7x = 42

a)

Add 7 on both sides

b)

Subtract 7 on both sides

c)

Divide 7 on both sides

d)

Multiply 7 on both sides

46.

Solve:

4p = 16

(a)

47.

Solve:

-6x = 30

(a)

48.

Solve:

-3x = -9

(a)

49.

Solve:

9n = -9

(a)

50.

Solve:

-10z = 40

(a)

51.

Solve:

3x = -15

(a)

52.

Solve:

18 = 3b

(a)

53.

Solve:

$80=\frac{x}{15}$

(a)

54.

Solve:

$\frac{x}{22}=44$

(a)

55.

What is the first step to solve the following equation: $\frac{x}{7}=12$

a)

Add 7 to both sides

b)

Subtract 7 from both sides

c)

Divide 7 to both sides

d)

Multiply 7 to both sides

56.

Solve: $\frac{m}{5}=\ 10$

(a)

57.

Solve: $10=\frac{x}{2}$

(a)

58.

Solve:

\frac{x}{3}=6

(a)

59.

Solve: $5=\frac{v}{4}$

(a)

60.

Solve:

\frac{b}{4}=4

(a)

61.

Solve: $5=\frac{x}{8}$

(a)

62.

Solve: -4x + 3 = -29

(a)

63.

Solve: -5x - 1 = -16

(a)

64.

Solve: 14x - 10 = 4

(a)

65.

Solve: -4x - 7 = -19

(a)

66.

Solve: -6x - 4 = 8

(a)

67.

Solve: 9 - 5t = 24

(a)

68.

Solve: -30 - 5x = 120

(a)

69.

Solve: 23 = 7 + 4x

(a)

70.

Solve: 23 = 5 + 3c

(a)

71.

Solve: 14 = 3y - 4

(a)

72.

Solve: -11 = 1 - 6w

(a)

73.

What are the steps to solve for b in the equation below?

5b - 6 = 24

a)

Add 6 to both sides then divide both sides by 5

b)

Add 6 to both sides then multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

74.

Solve: 9 = 2s + 1

(a)

75.

Solve:

$6x+3x=18$

a)

x = 1/2

b)

x = 2

c)

x = 6

d)

x = 1/3

76.

Solve:

$7x-4x=27$

a)

x = 9

b)

x = 27/11

c)

x = 11/27

d)

x = 1/3

77.

Solve:

$6x+5x=11$

(a)

78.

Solve:

$7x-3x-8=24$

(a)

79.

Solve:

$4r-8+7-6r=-9$

a)

r = 4

b)

r = -12

c)

r = 12

d)

r = -4

80.

Solve:

$6x-5+7x=34$

a)

x = 31

b)

x = -3

c)

x = 3

d)

x = -31

81.

Solve:

$-15+3x-7x=-43$

a)

x = 7

b)

x = -7

c)

x = 58/4

d)

x = -14/5

82.

Solve:

$12-10x+5x=-18$

(a)

83.

Solve:

$2n+3n+7=-43$

a)

n = -43/12

b)

n = -10

c)

n = -56/5

d)

n = 10

84.

Solve:

$3h-5h+11=17$

a)

h = -3/4

b)

h = -19

c)

h = -3

d)

h = 7/2

85.

Solve:

$3(x+1)=9$

a)

2

b)

$\frac{8}{3}$

c)

5

d)

4

86.

Solve:

$5(x+5)=30$

a)

7

b)

5

c)

1

d)

6

87.

Solve:

$9(x+4)=18$

(a)

88.

Solve:

$10(2x+6)=80$

a)

$\frac{74}{20}$

b)

1

c)

6

d)

0

e)

$\frac{37}{10}$

89.

Solve:

$-4\left(-3+2x\right)=-13$

(a)

90.

-4(v + 8) = 8

What is the solution to the equation?

(a)

91.

3(b + 5) = 7

What is the solution to the equation?

(a)

92.

-2(x - 3) = 24

What is the solution to the equation?

(a)

93.

2(4x - 4) = 3

What is the solution to the equation?

(a)

94.

2(x + 8) = -2

(a)

95.

5(x-3)=40

a)

11

b)

43/5

c)

38

d)

37/5

96.

-2(x-4)=18

a)

-11

b)

7

c)

-5

d)

13

97.

3(4x-1)=4

a)

7/12

b)

1

c)

5/12

d)

2

98.

-10(5x - 3) = 330

(a)

99.

-(n - 8) = -2

(a)

100.

Solve:

2x-3+4x=27

(a)

101.

Solve:

8v-4(v+8)=8

a)

2

b)

10

c)

4

d)

-4

102.

Solve:

5x-4+2x=3

a)

1

b)

2

c)

3

d)

4

103.

Solve:

3x+2(4x-4)=3

a)

4

b)

3

c)

2

d)

1

104.

Solve:

187=2x+5(-3x+14)

a)

9

b)

-9

c)

12

d)

-14

105.

Solve:

-11=6(5a+4)+5a

a)

-1

b)

-2

c)

-3

d)

-4

106.

Solve the equation.

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

a)

x = -8

b)

x = 8

c)

x = 2

d)

x = -2

107.

Solve the equation.

-15=3(2x+3)-12x

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

108.

Solve the equation.

-15=3(2x+3)-12x

(a)

109.

Solve the equation.

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

(a)

110.

Solve:

-11=6(5a+4)+5a

(a)

111.

Solve:

187=2x+5(-3x+14)

(a)

112.

Solve:

3x+2(4x-4)=3

(a)

113.

_{What is the y-intercept of the line?}

a)

(0,¹/₂)

b)

(0,1)

c)

(0, ^-1/2)

d)

(0, -1)

114.

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

a)

(1, 0)

b)

(2, 0)

c)

( -1, 0)

d)

(-2, 0)

115.

What are the x- and y- intercepts, respectively, on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

116.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

117.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

118.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

119.

What is the slope of this line?

a)

Positve

b)

Negative

c)

Zero

d)

Undefined

120.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

121.

What is the slope of the line

a)

-2/3

b)

2/3

c)

3/2

d)

-3/2

122.

What is the slope of the line?

(a)

123.

What is the slope of the line?

(a)

124.

What is the slope of the line?

a)

-1

b)

1

c)

-1/2

d)

-2

125.

What is the slope of the line?

(a)

126.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

127.

What is the slope of the line?

a)

-2/3

b)

2/3

c)

3/2

d)

-3/2

128.

What is the slope of this line?

a)

4/3

b)

-4/3

c)

3/4

d)

-3/4

129.

Find the slope

a)

2/1

b)

-2/1

c)

1/2

d)

-1/2

130.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

131.

Find the slope of a line that passes through the given points:

(5,1) and (8,3)

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

$-\frac{3}{2}$

d)

$\frac{3}{2}$

132.

Find the slope of a line that passes through the given points:
(1,1) and (3,4)

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

$-\frac{3}{2}$

d)

$\frac{3}{2}$

133.

Find the slope of the line that passes through:

(-12, -5) and (0, -8)

(a)

134.

Find the slope of the line that passes through:

(3, 5) and (-2, 0)

(a)

135.

Find the slope of the line that passes through:

(5,6) and (3,9)

(a)

136.

Find the slope of the line that passes through:

(-12, -5) and (0, -8)

(a)

137.

Find the slope of the line that passes through:

(10, 1) and (5, 2)

(a)

138.

Find the slope of the line that passes through:

(2, 4) and (6, 12)

(a)

139.

Find the slope of a line that passes through the given points:

(5,1) and (8,3)

(a)

140.

Find the slope of a line that passes through the given points:
(1,1) and (3,4)

(a)

141.

Find the slope of a line that passes through the given points:
(6,3) and (1,4)

(a)

142.

What is the slope in the equation:

y=4x+3

a)

3

b)

4x

c)

4

d)

x

143.

What is the y-intercept in the equation:

y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

144.

Which is the graph of $y=-x+2$ ?

a)

b)

c)

d)

e)

145.

Which is the graph of $y=5x-3$ ?

a)

b)

c)

d)

e)

146.

Which is the graph of $y=2$ ?

a)

b)

c)

d)

147.

Which graph below represents the following equation:

y=-\frac{1}{2}x-4

a)

b)

c)

d)

e)

148.

Which graph below represents the following equation:

y=-2x-4

a)

b)

c)

d)

e)

149.

Which graph below represents the following equation:

y=2x-4

a)

b)

c)

d)

e)

150.

Which graph below represents the following equation:

y=\frac{1}{3}x-4

a)

b)

c)

d)

e)

151.

Which graph below represents the following equation:

y=\frac{3}{4}x+3

a)

b)

c)

d)

e)

152.

Which graph below represents the following equation:

y=-\frac{3}{4}x+3

a)

b)

c)

d)

e)

153.

Write the equation for the line.

(a)

154.