Free Printable Final Exam Review

1.

What are the two basic rules for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

2.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

3.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

4.

7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

5.

-12 = 24 + 4b

a)

3

b)

0

c)

-9

d)

9

6.

9=4g+13

a)

1

b)

-1

c)

0

d)

3

7.

13= 5m -2

a)

-3

b)

2

c)

3

d)

-2

8.

m/9 - 1 = -2

a)

6

b)

9

c)

-9

9.

6 = a/4 + 2

a)

16

b)

15

c)

14

10.

8 + b/-4 = 5

a)

12

b)

-12

c)

6

11.

-6 + x/4 = -5

a)

5

b)

3

c)

4

12.

Level 2

Solve for a

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

13.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

14.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

15.

Which expression is equivalent to:
d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

16.

6x + 1 + 7x

a)

13x - 1

b)

14x

c)

7x + 6x + 1

d)

13x + 1

17.

3 + 12c - 4c

a)

16c + 3

b)

8c + 3

c)

5c

d)

8c

18.

6x + 2x

a)

8x

b)

12x

c)

8

d)

12

19.

3 + 5x + 4

a)

5x ∙ 7

b)

12x

c)

35x

d)

5x + 7

20.

4x + 3 + 7x

a)

14x

b)

11x + 3

c)

28x + 3

d)

11x - 3

21.

5z - 4z

a)

1z

b)

9z

c)

20z

d)

0

22.

2r + 2 + 5r - 2 + r

a)

8r

b)

8r - 4

c)

12r

d)

7r + 4 + r

23.

y + x + y + y + x

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

24.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

25.

What is the simplified version of this expression? $7\left(5x-1\right)$

a)

$35x+7$

b)

$35x-1$

c)

$35x-7$

d)

$-35x-7$

26.

What is the simplified version of this expression? $-3\left(8x-12\right)$

a)

$-24x+36$

b)

$24x+36$

c)

$-24x+32$

d)

$24x-32$

27.

What is the simplified version of this expression? $5\left(-10x-5\right)$

a)

$50x+25$

b)

$-50x-25$

c)

$-50x+25$

d)

$50x-5$

28.

What is the simplified version of this expression? $9\left(-5x+8\right)$

a)

$45x-72$

b)

$45x+72$

c)

$-45x-72$

d)

$-45x+72$

29.

3x(x - 7)

a)

4x - 21

b)

3x² - 21

c)

3x² - 21x

d)

4x² - 21x

30.

2x²(2x + 9)

a)

4x² + 18x

b)

4x³ + 11x²

c)

4x⁴ + 29x²

d)

4x³ + 18x²

31.

$m\left(2m\ -\ 2p\right)\ +\ 3$

a)

$2m^2\ -2mp\ +\ 3$

b)

$2mm\ -\ 2mp\ +3$

c)

$m^2\ +2mp\ -3$

d)

$2m^2\ -\ 2mp\ -\ 3$

32.

2x(3x+4)

a)

$6x^2+8$

b)

6x+8

c)

6x+4

d)

$6x^2+4$

33.

Simplify 14(b – 10).

a)

4b

b)

b – 140

c)

14b – 140

d)

14b – 10

34.

Solve for f(10):
f(10) = -x - 5

a)

15

b)

-5

c)

-15

d)

50

35.

What does f(-4) equal?
f(-4) = -2x - 8

a)

8

b)

-4

c)

-16

d)

0

36.

a)

Function

b)

Not a Function

37.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

38.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

39.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

40.

Use the graph to evaluate f(2)=

a)

2

b)

-2

c)

3

d)

0

41.

Use the graph find x when f(x) = 4

a)

2

b)

4

c)

3

d)

0

42.

Use the graph to evaluate f(-1)=

a)

5

b)

-5

c)

3

d)

0

43.

Use the graph find x when f(x) = 1

a)

-3

b)

3

c)

3, -3

d)

0

44.

Let g(x) = x² + 2. Evaluate g(-5)

a)

-23

b)

27

c)

25

d)

-27

45.

Let h(x) = $\frac{1}{2}$ x - 2. Evaluate h(6)

a)

1

b)

-5

c)

10

d)

16

46.

9 x 3 + 3²

a)

36

b)

32

c)

23

d)

25

47.

Simplify:

14 - 8 + 4 ⋅ 2³

a)

60

b)

38

c)

30

d)

12

48.

Evaluate:
36 ÷ 3² + 5 ⋅ 6

a)

35

b)

60

c)

34

d)

54

49.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

50.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

51.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

52.

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

a)

2

b)

3

c)

5

d)

Cannot be Determined

53.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

54.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

55.

Graph the line with the equation
$y\ =\ \frac{1}{3}x\$

a)

b)

c)

d)

56.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

57.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

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

d)

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

58.

Solve for y. x + 2y = 10

a)

A

b)

B

c)

C

d)

D

59.

Graph 2x - y = 4

a)

A

b)

B

c)

C

d)

D

60.

Vertical or horizontal?
x = 4

a)

vertical

b)

horizontal

c)

neither

61.

Vertical or horizontal?
y = -3

a)

vertical

b)

horizontal

c)

neither

62.

Vertical or horizontal?
y = -6

a)

vertical

b)

horizontal

c)

neither

63.

What would the graph of the equation x = -4 look like?

a)

Horizontal line

b)

Vertical line

64.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

65.

What is the equation of the red graph pictured?

a)

y = -4

b)

x = -4

c)

y = 4

d)

x = 4

66.

What is the equation of the red graph pictured?

a)

y = 3

b)

x = 3

c)

y = -3

d)

x = -3

67.

Solve this system by graphing.

a)

A

b)

B

c)

C

d)

D

68.

Solve this system by graphing.

a)

A

b)

B

c)

C

d)

D

69.

Solve this system by graphing.

a)

A

b)

B

c)

C

d)

D

70.

Solve the following system by graphing. What is the solution?

a)

(3, -1)

b)

(-1, -3)

c)

(-1, -1)

d)

(-1, 3)

71.

Is the points (-4, 4) a solution to the system of equations?

a)

Yes

b)

No

72.

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

a)

Yes

b)

No

73.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

74.

Is (1,10) a solution to

y=7x+5

y=x+9

a)

yes

b)

no

75.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

76.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

77.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

78.

The solution to this system is...

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

(-4, -2)

79.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

80.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

81.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

82.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

83.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

84.

Factor:

2x² + 3x - 9

a)

2(x + 3)(x - 3)

b)

(2x - 3)²

c)

(x + 3)(2x - 3)

d)

(2x + 3)(x - 3)

85.

Factor completely.
5x² - 7x + 2

a)

5(x - 2)(x + 1)

b)

(5x - 2)(x + 1)

c)

(7x - 1)(x - 4)

d)

(5x - 2)(x - 1)

86.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

87.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

88.

Factor
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

89.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

90.

Simplify:
5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

91.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

92.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

93.

x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Prime

d)

( x - 20) ( x + 20)

94.

Find the difference.
(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

a)

-3p²+ 4p³ -15 + 9

b)

3p³ + 4p² - p + 3

c)

4p³ -3p² +16p -10

d)

4p³ +3p² + 16p + 10

95.

Solve the following problem.
(3x - 4) + (12x + 10)

a)

x - 12

b)

15x + 6

c)

36x + 40

d)

17x + 9,000

96.

Solve the following problem.
(9x + 17) + (19x - 27)

a)

28x + 44

b)

28x - 10

c)

-28x + 10

d)

-171x - 459

97.

Simplify the following expression
(r² + s²) – (5r² + 4s²)

a)

–4r² +5s²

b)

–4r² – 3s²

c)

–5r⁴ – 4s⁴

d)

–4r² + 3s²

98.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

99.

Factor: x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

100.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

101.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

102.

Factor
x²+ 12x + 36

a)

(x + 6)(x +6)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 6)(x - 6)

103.

(x − 3)(6x − 2)

a)

6x² − 20x + 6

b)

6x² + 20x - 6

c)

6x² +6

d)

6x + 6

104.

(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

105.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

106.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

107.

Factor x² – 16.

a)

(x + 2)(x – 8)

b)

(x – 4)(x – 4)

c)

(x + 4)(x + 4)

d)

(x + 4)(x – 4)

108.

4x² - 25

a)

(2x + 5) (2x - 5)

b)

(2x - 5)²

c)

(2x + 5)²

d)

2x + 5(2x - 5)

109.

Solve the inequality.

a)

r > -47

b)

r > 18

c)

r < 18

d)

r < -47

110.

Solve the inequality.

a)

p < -44

b)

p < -10

c)

p < -8

d)

p < -4

111.

Solve the inequality.

a)

m > -14

b)

m < -14

c)

m > -18

d)

m > -45

112.

$\frac{x}{8}-1\ <\ 3$

a)

x < 16

b)

x > 16

c)

x < 32

d)

x < 10

113.

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

114.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

115.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

116.

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

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

117.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

118.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

119.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

120.

$<,>$ These mean you need which type of line:

a)

solid

b)

dashed

c)

nonexistent

d)

purple

121.

$\le,\ge$ These mean you need which type of line:

a)

solid

b)

dashed

c)

nonexistent

d)

purple

122.

Which graph matches $y\le\frac{3}{5}x-5$

a)

b)

c)

d)

123.

Which inequality matches the graph?

a)

$y>\frac{7}{4}x-2$

b)

$y<\frac{7}{4}x-2$

c)

$y>-2x+\frac{7}{4}$

d)

$y<\frac{4}{7}x-2$

124.

Which of the following is in the solution set for question 10? $y\le\frac{1}{2}x+2$ and $y<-2x-3$

a)

(0,0)

b)

(-2, 2)

c)

(-2, -2)

d)

(-4, -1)

125.

Tell whether the ordered pair
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

a)

Yes

b)

No

126.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

127.

Which of the following is the graph of

3x - 2y < 10

a)

b)

c)

d)

128.

Choose the correct inequality for this graph.

a)

b)

c)

d)

129.

Which graph best represents the following inequality?

a)

b)

c)

d)

130.

y ≤ -3x +1 will have what type of line?

a)

dashed

b)

solid

131.

y < 6x + 1 will have what kind of line?

a)

dashed

b)

solid

132.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

133.

Which of the following is a solution to the systems of inequalities?

a)

(0, -2)

b)

(-3, 0)

c)

(-3, 2)

d)

(1, 1)

134.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(-4, 0)

c)

(2, 2)

d)

(3, 1)

135.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(1, 1)

c)

(-4, -2)

d)

(4, -2)

136.

Which of the following is NOT a solution to the systems of inequalities?

a)

(-5, 0)

b)

(-5, 1)

c)

(-3, -1)

d)

(-2, -1)

137.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

138.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

139.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

140.

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?

a)

8

b)

9

c)

7

d)

10

141.

Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven dollar games could he buy with the money he had left?

a)

21 games

b)

3 games

c)

7 games

d)

99 games

142.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

143.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

144.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

a)

11x + 6 = 39

b)

11x - 6 = 39

c)

11 + 6x = 39

d)

66x = 39

145.

Arel bought 150 cards at 3 for $5. Tobi bought the same number of cards at 5 for $8. What was the difference between the amounts that Arel and Tobi paid?

a)

$50

b)

$20

c)

$10

146.

Carissa had 560 yellow beads and red beads altogether. The yellow beads were packed in 8 plastics of 60 each. She packed the red beads into 4 plastics. How many red beads were in each plastic?

a)

20

b)

40

c)

60

147.

Adam paid $126 for a squishy and a slime. The squishy cost twice as much as the slime. How much did Adam paid for the squishy?

a)

$ 42

b)

$ 24

c)

$ 84

148.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

149.

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

a)

20x + 120 ≥ 3

b)

x/3 + 20 ≤ 120

c)

3x + 20 ≤ 120

d)

3x + 20 ≥ 120

150.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

151.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

152.

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

a)

200 + 25x ≥ 500

b)

500 + 25x ≥ 200

c)

500 - 25x ≥ 200

d)

500 - 25x ≤ 200

153.

The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

a)

300x + 10 ≥ 2000

b)

10x + 300 ≤ 2000

c)

10x + 300 > 2000

d)

300 + 10x ≥ 2000

154.

Four times a number increased by 7 is at least 19.

a)

4x > 19

b)

4x + 7 ≥ 19

c)

4x < 19

d)

4x + 7 ≤ 19

155.

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

a)

3 + 5.5p < 10

b)

20 = 5.5 - 3p

c)

5.5 + 3p < 20

d)

3p + 5.5 ≤10

156.

A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall?

a)

5.1 + 2.5y ≥ 60

b)

60 < 5.1 + 2.5

c)

5.1 + 2.5y ≤ 60

d)

5.1 + 2.5y > 60

157.

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

a)

30 + s ≥ 45

b)

30 - s ≥ 45

c)

30 + s ≤ 45

d)

30 - s ≤ 45

158.

Four friends bought pizza. They all split the cost evenly. The pizza was $16.00. The total bill came to $32.00. Which equation matches this story.

a)

4 + 16 = 32

b)

16-4 = 32x

c)

16 + 4p = 32

d)

4p + 16 = 32

159.

Paul bought a notebook for $2.50 and 3 pencils. He spent a total of $5.47. How much did each pencil cost?

a)

$.99

b)

$2.97

c)

$7.97

d)

$1.17

160.

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

a)

2.5 hours

b)

4.5 hours

c)

7.5 hours

d)

10.5 hours

161.

Ashley finds masking tape in packages of 4 rolls for $4.32. What is the cost of one roll in the package?

a)

4x = 4.32

b)

4.32x = 4

c)

4(4.324) = x

d)

4/ 4.32 = x

162.

What is the price of one extension cord if Chulo can buy a package of 6 for $7.26?

a)

7.26x = 6

b)

6x = 7.26

c)

7.26(6) = x

d)

6 = 7.26/ x

163.

Andrew has saved $55 toward the purchase of an IPOD. The IPOD costs $145. Which equation represents the amount Andrew needs to save to by the IPOD?

a)

55 + x = 145

b)

145x = 55

c)

55 - x = 145

d)

145 (55) = x

164.

Breanna went to the mall and spent $35.00 on shoes. When she she got home she had $40.00 in her purse. which equation can be used to find the amount of money she started with?

a)

35.00 + x = 40.00

b)

40.00 - 35.00 = x

c)

35.00x = 40.00

d)

40.00x = 35.00

165.

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?

a)

4 cabins

b)

44 cabins

c)

59 cabins

d)

74 cabins

166.

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

a)

4 boxes

b)

5 boxes

c)

6 boxes

d)

7 boxes

167.

Gabby has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Gabby to save money for a new jacket?

a)

11 weeks

b)

10 weeks

c)

12 weeks

d)

13 weeks

168.

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

a)

3.50 + 1.75t > 20

b)

1.75 + 3.50t ≤ 20

c)

3.50 + 1.75t ≥ 20

d)

1.75t + 3.50 ≤ 20

169.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

170.

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

a)

3 + 5.5p < 10

b)

20 = 5.5 - 3p

c)

5.5 + 3p < 20

d)

3p + 5.5 ≤20

171.

Top Golf charges $12 for each hour. You can spend no more than $60.

Which of the following inequalities could help you solve for all the possible hours, h, that you can golf for?

a)

12x < 60

b)

12x ≤ 60

c)

12x > 60

d)

12x ≥ 60

172.

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall.

Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

a)

6 + x ≥ 35

b)

6 + x > 35

c)

6 + x < 35

d)

6 + x ≤ 35

173.

An unknown number decreased by 9 is at most 25. What is the number?

a)

x - 9 $\ge$ 25

b)

x - 9 ≤ 25

c)

x - 9 < 25

d)

x - 9 > 25

174.

Simplify x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

175.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-⁵

d)

7b³ /a⁵

176.

Simplify

a)

b³/64a⁵

b)

b³/16a⁵

c)

a⁵/64b³

d)

b³/-64a⁵

177.

Simplify

a)

0

b)

-1

c)

1

d)

-8.6

178.

xy⁰

a)

xy

b)

x

c)

1

d)

0

179.

(-2)⁰ + (8)⁰

a)

2

b)

0

c)

10

d)

6

180.

Simplify the expression:

(-2) ⋅ (-2)²⋅ (-2)³

a)

-2⁵

b)

2⁶

c)

(-2)⁷

d)

-2⁶

181.

Simplify: $x^4\cdot x^9$

a)

$x^{13}$

b)

$x^{36}$

c)

$x^5$

d)

$x^2$

182.

Simplify

2x³ ∗ 4x⁵

a)

8x⁸

b)

6x⁸

c)

6x¹⁵

d)

8x¹⁵

183.

Simplify:

a)

b)

c)

d)

184.

Simplify:

a)

$3k^9$

b)

$\frac{k}{3}$

c)

$\frac{k}{6}$

d)

$6k$

185.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

186.

According to exponent rules,

when we raise a power to another exponent

we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

187.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

188.

(5³)⁷

a)

5²¹

b)

5¹⁰

c)

5⁴

d)

125²¹

189.

Simplify:
(x³)²

a)

x⁵

b)

x

c)

x⁶

d)

3x²

190.

Simplify:
(xy²)⁴

a)

x⁴y²

b)

x⁴y⁸

c)

x³y²

d)

x⁵y⁶

191.

Simplify: (3x²)³

a)

27x⁶

b)

9x⁶

c)

3x⁶

d)

9x⁵

192.

(4p³q⁶)⁴

a)

4p¹²q²⁴

b)

256p⁷q¹⁰

c)

256p¹²q²⁴

d)

4p⁷q¹⁰

193.

Simplify

a)

x²⁸y¹² / x²y

b)

x²⁸y¹² / x⁸y⁴

c)

x²⁰y⁸

194.

Which of the following is the correct way to simplify this expression?
$\left(\frac{a^m}{b^n}\right)^p$

a)

$\frac{a^{m\cdot p}}{b^{n\cdot p}}$

b)

$\frac{a^m+a^p}{b^n+b^p}$

c)

$a^{m\cdot p}\ b^{n\cdot p}$

195.

Simplify the following:
$\left(\frac{x^2}{y^3}\right)^4$

a)

$\frac{x^8}{y^{12}}$

b)

$\frac{x^6}{y^7}$

c)

$x^8y^{12}$

196.

Simplify/Reduce

a)

20⁄28

b)

7⁄5

c)

5⁄7

d)

2⁄3

197.

What is 5/6 ÷ 3/4?

a)

15/24

b)

1 1/9

c)

20/18

d)

1 2/17

198.

What is 2/7 ÷ 3/4?

a)

6/21

b)

4/5

c)

5/11

d)

8/21

199.

What is 2/3 - 2/8?

a)

5/12

b)

1/5

c)

13/24

d)

15/24

200.

What is 5/6 - 1/3

a)

4/3

b)

4/6

c)

2/6

d)

1/2

201.

What is 2/5 + 1/6?

a)

17/30

b)

3/11

c)

5/12

d)

3/30

202.

What is 1/2 + 1/4?

a)

6/9

b)

4/5

c)

2/6

d)

3/4

203.

Simplify/Reduce

a)

7⁄10

b)

14⁄20

c)

7⁄5

d)

2⁄3

204.

Convert to an Improper Fraction

a)

19⁄8

b)

19

c)

8⁄18

d)

18⁄8

205.

Convert to a Mixed Number

a)

2 1⁄4

b)

1 3⁄4

c)

1 4⁄3

d)

1 2⁄4

206.

Multiply these Fractions

a)

-9⁄12

b)

-7⁄7

c)

-5⁄6

d)

5

207.

Convert to an improper fraction

a)

3 / 34

b)

34 / 3

c)

33 / 3

d)

15 / 3

208.

Write in simplest form.

a)

1/4

b)

2/8

c)

6/24

d)

6/32

209.

Convert the improper fraction to a mixed number.

\frac{17}{5}

a)

$3\ \frac{3}{5}$

b)

$2\ \frac{3}{5}$

c)

$3\ \frac{4}{5}$

d)

$3\frac{2}{5}$

Final Exam Review

Total questions: 209

Worksheet time: 52hrs 15mins

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