Free Printable Unit 4 Mega Review

1.

What number has the prime factorization of 2³• 3² • 5?

a)

360

b)

720

c)

180

d)

240

2.

Select all of the prime numbers.

a)

1

b)

2

c)

7

d)

18

e)

21

3.

28 is a _______________ number

a)

prime

b)

composite

4.

2 is the only even prime number

a)

True

b)

False

5.

Find the prime factorization of 18

a)

2 • 9

b)

2² • 3

c)

2 • 3²

d)

3 • 6

6.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 3² • 5

c)

2² • 3 • 5

d)

2⁷

7.

Find the prime factorization of 30

a)

2² • 5 • 7

b)

2 • 3²

c)

2 • 3 • 7

d)

2 • 3 • 5

8.

Find the prime factorization of 81

a)

2² • 7

b)

2³ • 5 • 7

c)

4³

d)

3⁴

9.

Find the prime factorization of 108

a)

2³ * 3²

b)

2² • 3³

c)

2⁵ • 3

d)

2 • 3 • 7 • 11

10.

Find the prime factorization of 420

a)

2² • 3 • 5 • 7

b)

7⁷

c)

2² • 3 • 11

d)

2³ • 3 • 7

11.

What is the missing factor?

a)

1

b)

2

c)

5

d)

8

12.

What are the missing factors?

a)

2 and 3

b)

3 and 6

c)

3 and 3

d)

1 and 9

13.

What is the missing factor?

a)

3

b)

5

c)

6

d)

7

14.

is 3 prime number or composite number?

a)

prime

b)

composite

15.

Write an expression to represent the difference of 100 and a number w

a)

100 + w

b)

100 / (6 + w)

c)

100 - w

d)

100 / 6 + w

16.

Nancy has n number of baseball cards. Tony has 3 fewer baseball cards than Nancy. Which expression shows the number of baseball cards Tony has?

a)

n × 3

b)

n – 3

c)

3 – n

d)

3 ÷ n

17.

Divide.

a)

4

b)

12

c)

6

d)

8

18.

evaluate bc + 5a

when a = 3, b = 4, and c = 6

a)

9

b)

29

c)

39

d)

19

19.

3(2x + z) when x=8 and z=2

a)

12

b)

30

c)

54

d)

60

20.

There are r rows of chairs with 7 chairs in each row. You can use the expression 7r to find the total number of chairs. If r=20, then find how many chairs there are.

a)

140 chairs

b)

720 chairs

c)

27 chairs

d)

70 chairs

21.

A cell phone company charges $40 per month plus a $35 activation fee. You can use the expression 40m + 35 to find the amount you would pay after m months. If you plan on having the cell phone for 6 months, how much would you pay?

a)

$441

b)

$81

c)

$275

d)

$355

22.

Are the following expressions equivalent if y=4?

5y - 8 and 2(5y -4)

a)

Yes, they are equivalent.

b)

No, they are not equivalent.

23.

Are the following expressions equivalent?

4( y - 1) and 1 + 4y

a)

yes

b)

no

24.

Which of the following is a situation to represent: 10y

a)

The total of 10 yoyos and some more yoyos.

b)

Ten groups of yoyos

c)

Ten yoyos split up among friends.

d)

The difference of ten yoyos and a number of yoyos.

25.

Which of the following is equivalent to 2(c - 8)?

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

26.

Which of the following is equivalent to 5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

27.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

28.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

29.

Which equation is equivalent to 2(y + 11) ?

a)

2y + 22

b)

2y + 11

c)

2y + 13

d)

y + 22

30.

How could you rewrite 6 x n using the commutative property?

a)

n x 6

b)

6 to the power of n

c)

n + 6

d)

n + 1 + 5

31.

How could you rewrite n + 6 using the commutative property?

a)

n = 6

b)

n x 6

c)

n/6

d)

6 + n

32.

What is the INVERSE of ADDITION? (Hint: Opposite)

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

33.

What is the INVERSE of ADDITION? (Hint: Opposite)

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

34.

What is the INVERSE of MULTIPLICATION? (Hint: Opposite)

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

35.

What is the INVERSE of DIVISION? (Hint: Opposite)

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

36.

What is the INVERSE of SUBTRACTION? (Hint: Opposite)

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

37.

When an inequality has a $x\le$ or $x<$ symbol, you graph it with a line going to the ______.

a)

Left

b)

Right

38.

When an inequality has a $x\ge$ or $x>$ symbol, you graph it with a line going to the ______.

a)

Left

b)

Right

39.

When an inequality has a $>$ or $<$ symbol, you graph with an ______ circle.

a)

Open circle

b)

Closed circle

40.

When an inequality has a $\ge$ or $\le$ symbol, you graph it with a ______ circle.

a)

Open Circle

b)

Closed Circle

41.

How would you graph the solution below?

$m\ >20$

a)

Open circle on 20; line going to the right

b)

Open circle on 20; line going to the left

c)

Closed circle on 20; line going to the right

d)

Closed circle on 20; line going to the left

42.

How would you graph the solution below?

$k\ \le\ 7.25$

a)

Open circle on 7.25; line going to the right

b)

Open circle on 7.25; line going to the left

c)

Closed circle on 7.25; line going to the right

d)

Closed circle on 7.25; line going to the left

43.

How would you graph the solution below?

$s\ <\ -3$

a)

Open circle on -3; line going to the right

b)

Open circle on -3; line going to the left

c)

Closed circle on -3; line going to the right

d)

Closed circle on -3; line going to the left

44.

How would you graph the solution below?

$b\ \ge-42$

a)

Open circle on -42; line going to the right

b)

Open circle on -42; line going to the left

c)

Closed circle on -42; line going to the right

d)

Closed circle on -42; line going to the left

45.

Which of the following solutions matches the number line?

a)

h > 6

b)

h < 6

c)

h ≥ 6

d)

h ≤ 6

46.

Which of the following solutions matches the number line?

a)

t > 3

b)

t < 3

c)

t ≥ 3

d)

t ≤ 3

47.

a)

F

b)

G

c)

H

d)

J

48.

A firefighter uses equipment that weighs 60 pounds. The firefighter weighs x pounds. Which equation can be used to find t, the total weight of both the firefighter and his equipment in pounds?

a)

t = 60x

b)

t = 60 - x

c)

t = x - 60

d)

t = x + 60

49.

Name the DEPENDENT variable from the table below.

a)

minutes

b)

bubbles

50.

a)

the independent variable is distance

b)

the independent variable is d=25 t

c)

the dependent variable is time

d)

the dependent variable is distance

51.

A farmer has b bags of potatoes. Each bag of potatoes weighs 50 pounds. Which equation can be used to find t, the total weight of the potatoes in pounds?

a)

t = 50b

b)

t = b + 50

c)

t = b - 50

d)

t = 50 - b

52.

The cost of a bookmark at Raven’s book fair is $0.68. Which equation can be used to find c, the cost in dollars of b bookmarks?

a)

c = 0.68 + b

b)

b = 0.68 + c

c)

b = 0.68c

d)

c = 0.68b

53.

Which two expressions are equivalent?

a)

$4+\left(3\cdot y\right)$ and $\left(4+3\right)\cdot y$

b)

$\left(18\div y\right)+10\$ and $10+\left(y\div18\right)$

c)

$12\left(y\cdot2\right)$ and $12\left(2\cdot y\right)$

d)

$\left(10-6\right)\div y$ and $10-\left(6\div y\right)$

54.

Which two expressions are equivalent?

a)

$4+\left(3\cdot y\right)$ and $\left(4+3\right)\cdot y$

b)

$\left(18\div y\right)+10\$ and $10+\left(y\div18\right)$

c)

$12\left(y\cdot2\right)$ and $12\left(2\cdot y\right)$

d)

$\left(10-6\right)\div y$ and $10-\left(6\div y\right)$

55.

Which expression is equivalent to the following:

$42b+\left(7b+5b\right)$

a)

$\left(7b\cdot5b\right)+42b$

b)

$\left(42b\cdot7b\right)\cdot5b$

c)

$\left(7b+5b\right)\cdot42b$

d)

$\left(42b+7b\right)+5b$

56.

Which expression is NOT equivalent to $5+4+1+9$ ?

a)

$5+\left(4+1\right)+9$

b)

$5+4+\left(1+9\right)$

c)

$5+\left(4+1\right)+1+9$

d)

$\left(5+4\right)+1+9$

57.

Which expression is NOT equivalent to the expression $3\cdot5\cdot8$

a)

$8\cdot3\cdot5$

b)

$5\cdot3\cdot8$

c)

$3\cdot5\cdot3$

d)

$3\cdot8\cdot5$

58.

Which expression is equivalent to the following?

$\left(25m+4m\right)+9m$

a)

$\left(4m+9m\right)\cdot25m$

b)

$\left(4m+9m\right)+25m$

c)

$\left(9m+25m\right)\cdot4m$

d)

$\left(9m\cdot25m\right)\cdot4m$

59.

Which two expressions are equivalent?

a)

$7+\left(3\cdot z\right)$ and $\left(7+3\right)\cdot z$

b)

$\left(9\div u\right)+5$ and $5+\left(u\div18\right)$

c)

$\left(12-4\right)\div p$ and $12-\left(4\div p\right)$

d)

$15-\left(d\cdot4\right)$ and $15-\left(4\cdot d\right)$

60.

Which two expressions are equivalent?

a)

$2+\left(12+y\right)$ and $2\cdot12+2\cdot y$

b)

$8\left(y+3\right)$ and $8\cdot y-8\cdot3$

c)

$5+\left(10+y\right)$ and $5\cdot10+5\cdot y$

d)

$3\left(5+y\right)$ and $3\cdot5+3\cdot y$

61.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

62.

$\frac{t}{-8}=\ -5$

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

63.

Solve the following equation

2y = 18

a)

y = 36

b)

y = 16

c)

y = 9

d)

y = 20

64.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

65.

x/5 = 20

a)

x = 4

b)

x =100

c)

x =3

d)

x =25

66.

5 = f - 2

a)

4

b)

7

c)

-3

d)

2

67.

6 x = -30
x=

a)

2

b)

7

c)

-5

d)

5

68.

3 = $\frac{c}{-11}$

a)

33

b)

14

c)

-33

d)

-14

69.

Solve the equation:
$-8x=-32$

a)

4

b)

40

c)

6

d)

5

70.

Solve for x.

x - 8 = -5

a)

x = 13

b)

x = -13

c)

x = 3

d)

x = -3

71.

What is the solution of the equation?
8 = x + 1

a)

9

b)

7

c)

6

d)

8

72.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = 4

d)

x = 84

73.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

74.

Solve the equation:
2w=58

a)

w = 29

b)

w = 32

c)

w = 15

d)

w = 116

75.

Solve the equation:
x/3 = 4

a)

x = 12

b)

x = 1

c)

x = 16

d)

x = 3

76.

Solve the equation:
5x = 25

a)

x = 20

b)

x = 125

c)

x = 4

d)

x = 5

77.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

78.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

79.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

80.

m+13=21

a)

m=34

b)

m=8

c)

m=273

d)

m=6

81.

Solve for y:
y - 7 = 10

a)

17

b)

-3

c)

3

d)

-17

82.

Solve for x

7x=14

a)

$x=7$

b)

$x=2$

c)

$x=-7$

d)

$x=-14$

83.

Solve for x

x+10=4

a)

$x=-6$

b)

$x=-2$

c)

$x=24$

d)

$x=14$

84.

Solve for x.

-3+x=7

a)

$x=6$

b)

$x=-4$

c)

$x=4$

d)

$x=10$

85.

Solve for x

13=8+x

a)

$x=21$

b)

$x=5$

c)

$x=9$

d)

$x=-2$

86.

Solve for x

3=9x

a)

$x=12$

b)

$x=3$

c)

$x=27$

d)

$x=-3$

87.

Solve for x

5x=40

a)

$x=35$

b)

$x=\frac{1}{4}$

c)

$x=8$

d)

$x=3$

88.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

89.

10x = 90

a)

x = 80

b)

x = 100

c)

x = 10

d)

x = 9

90.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

91.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

92.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

93.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

94.

m - 5 = -10

a)

-15

b)

15

c)

-5

d)

5

95.

a)

50

b)

-12.5

c)

-50

d)

12.5

96.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

97.

Which choice models this situation?

Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

98.

After 4 students joined a class, the class has 32 students. Which equation can be used to find n, the number of students in the class before the new 4 students joined?

a)

$\frac{n}{4}\ =\ 32$

b)

n - 4 = 32

c)

4n = 32

d)

n + 4 = 32

99.

a)

F

b)

G

c)

H

d)

J

100.

What value of x makes this equation true?

-90 = x - 100

a)

-10

b)

10

c)

-190

d)

190

101.

What is the solution to the following equation?

a)

x = 8

b)

x = 16

c)

x = 4

d)

x = 6

102.

Find the solution of the following equation.

a)

x = 5

b)

x = 3

c)

x = 7

d)

x = 10

103.

Ted bought a dolphin poster for $12. He now has $5. Write and solve an equation to find out how much money Ted took to the aquarium.

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

104.

Sergio got a paycheck for $74.80 for

10 hours of work. Which equation can be

used to find x, the amount he was paid

per hour?

a)

x + 10 = 74.80

b)

x − 80 = 74.80

c)

$\frac{x}{10}\ =\ 74.80$

d)

10x = 74.80

105.

Solve the following equation
X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

106.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

107.

Solve the following equation
2y = 18

a)

36

b)

16

c)

9

d)

20

108.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

$\frac{t}{9}=25$

109.

Which choice models this situation?

Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

$\frac{h}{5}\ =\ 35$

110.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.

Which equation can you use to find the number of lollipops n in the jar?

a)

$\frac{n}{6}\ =4$

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

111.

Karina played two softball games last week. She had a total of 9 hits. She had 4 hits in the first game. Write an equation to determine how many hits she got in the second game.

a)

9 - 4 = h

b)

h + 4 = 9

c)

4h = 9

d)

h + 9 = 4

112.

Write the equation for the model.

a)

-3x=18

b)

3=-18

c)

3x=18

d)

3x=-18

113.

Write the equation for the model.

a)

x+(-6)=-11

b)

x+6=-11

c)

x-6=11

d)

x+6=11

114.

Solve for x.

-3+x=7

a)

$x=6$

b)

$x=-4$

c)

$x=4$

d)

$x=10$

115.

Solve for x

5x=40

a)

$x=35$

b)

$x=\frac{1}{4}$

c)

$x=8$

d)

$x=3$

116.

At a restaurant, four friends decided to divide the bill evenly. If each person paid $13 then which equation can you use to find what the total bill was?

a)

4/x = 13

b)

4x = 13

c)

x/4 = 13

d)

x/3 = 13

117.

Tara caught three times as many fish this year than last year. She caught 63 fish by the end of the year. Which equation represents how many fish she caught last year?

a)

3y = 63

b)

3 + y = 63

c)

63 - y = 3

d)

$\frac{y}{3}$ =63

118.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

119.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

120.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

121.

y + 7 ≥ 12

a)

y ≥ 5

b)

y ≤ 5

c)

y ≥ 19

d)

y ≤ 19

122.

y − 10 > 14

a)

y > 24

b)

y < 24

c)

y > 4

d)

y < 4

123.

Solve
8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

124.

Which values will make the following inequality true? Choose ALL that apply.

X + 2 ≤ 8

a)

6

b)

10

c)

2

d)

-8

125.

Which values will make the following inequality true? Choose ALL that apply.

15 + B ≤ 23

a)

10

b)

5

c)

38

d)

8

126.

Which values will make the following inequality true? Select ALL that apply.

120 ÷ P ≤ 8

a)

10

b)

15

c)

6

d)

20

127.

Which value(s) will make the following inequality true? Select ALL that apply.

9F > 45

a)

6

b)

5

c)

4

d)

3

128.

Which value(s) make the following inequality true? Select ALL that apply.

G + 13 < 24

a)

11

b)

5

c)

1

d)

37

129.

5x > 45

a)

x > 9

b)

x < 9

c)

x < 225

d)

x > 225

130.

3 + w ≤ 13

a)

w ≥ 10

b)

w ≥ 16

c)

w ≤ 10

d)

w ≤ 16

131.

d - 7 < 12

a)

d < 19

b)

d > 19

c)

d < 5

d)

d > 5

132.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

133.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

134.

Solve

2m > 8

a)

m < 4

b)

m > 4

c)

m < - 4

d)

m > - 4

135.

15 + x < 0

a)

x < -15

b)

x < 150

c)

x > -15

d)

x > -150

136.

⅓n ≥ 3

a)

n ≥ 9

b)

n ≥ 0

c)

n < 9

d)

n < 6

137.

W – 9 > 17

a)

30

b)

10

c)

8

d)

22

138.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

139.

Write an expression.

Ashley needs at least an 90 on her test to get an A in math class.

a)

g ≤ 90

b)

g ≥ 90

c)

g < 90

d)

g > 90

140.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

141.

Is x = 9 a solution to the given inequality.

x > 9

a)

YES

b)

NO

142.

Is x = 12 a given solution to the inequality.

x > 5

a)

YES

b)

NO

143.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

144.

What inequality does the line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

145.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

146.

What inequality does the line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

147.

What inequality does the line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

148.

x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

149.

126 < f + 32

a)

f > 94

b)

f < 96

c)

f < 94

d)

f < 55

150.

c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < - 15

d)

c >, = 15

151.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

152.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

153.

x ÷ 9 ≤ 1

a)

x ≤ 1

b)

x ≤ 1/9

c)

x ≤ 9

d)

x ≤ 8

154.

d/4 > 5

a)

20

b)

5

c)

10

d)

40

155.

Substitute x= 3 into the expression 3x+1

a)

3

b)

9

c)

10

d)

7

156.

Substitute x= 5 into the expression $x^2-5$

a)

5

b)

25

c)

10

d)

20

157.

Pick the thing that we could use as a Variable

a)

12

b)

8

c)

1

d)

k

158.

Substitute k= 7 and h = 5 into

$k+h\times3$

a)

22

b)

36

c)

15

d)

21

159.

If a = 6 and b = 7,find the value of 15-a-b.

a)

2

b)

3

c)

4

d)

5

160.

6q +m - m when m =8 and q= 3

a)

63

b)

24

c)

18

d)

1

161.

What is the value of x in x + 12 = 17?

a)

2

b)

5

c)

6

d)

3

162.

What is the operation for

9\div3

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

163.

What is the operation for $\frac{15}{5}$

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

164.

5h ; h=2

What is the new problem? (Don't solve)

a)

5+2

b)

5-2

c)

5(2)

d)

$5\div2$

165.

m=8, n=6, p=4, q=2

Evaluate each expression below(substitute the variables)

n+q-p=

(a)

166.

m=8, n=6, p=4, q=2

Evaluate each expression below(substitute the variables)

m+n+q=

(a)

167.

4 + 6b, b=3

a)

67

b)

13

c)

22

d)

13

168.

5 + x + 2x, x=1

a)

0

b)

9

c)

27

d)

8

169.

What is 5a+1 when a = 2

a)

11

b)

53

c)

9

d)

8

170.

What could be solved using this number sentence?
18 + m = 45

a)

Josh bought 18 pencils every day for 45 days. If m represents the number of pencils, how many pencils does he have now?

b)

Josh had 18 pencils. If his friend gave him 45. If m represents the number of pencils, how many pencils does he have now?

c)

Josh had 18 pencils. He received some pencils for Halloween. Now Josh has 45 pencils. If m represents the number of pencils, how many pencils did Josh receive for Halloween?

d)

Josh bought the same number of pencils every day for 18 days. At the end of 18 days, Josh had 45 pencils. If m represents the number of pencils, how many pencils did Josh buy every day?

171.

What value of y makes the number sentence shown true?
y - 64 = 110

a)

150

b)

46

c)

164

d)

174

172.

Janie has 4 less than 5 times the number of candy Brayden has. If c, represents the amount candy Brayden, which of the following shows how much candy Janie has?

a)

5c – 4

b)

4 – 5c

c)

5 ( 4 – c )

d)

4c + 5

173.

What value of t makes the following sentence true?
2t = 20

a)

8

b)

10

c)

40

d)

15

174.

James bought a video game for $42.00. He found the same video game at a different store for z dollars less. Which open sentence will be the most helpful for finding the price of the video game at the other store?

a)

42 • z = ?

b)

z – 42 = ?

c)

z + 42 = ?

d)

42 – z = ?

175.

Which of these problems can be solved using this open sentence?
35 + x = ?

a)

Jill is dividing her Halloween candy into x groups. If she has 35 pieces of candy how many will be in each group?

b)

Jill has x amount of Halloween candy. She is going to give her sister 35 pieces. How many pieces will Jill have left?

c)

Jill has x times as many pieces of candy as Lily does. Lily has 35 pieces of candy, how many does Jill have?

d)

Jill has 35 pieces of Halloween candy. Mandy gives her x pieces. How many pieces does Jill have in total?

176.

The distance d that sound travels is given by d = 0.2t. What is the distance sound will travel in 20 seconds?

a)

4 miles

b)

400 miles

c)

40 miles

d)

0.4 miles

177.

Which is a solution to the inequality
14 + n ≤ 21

a)

n ≤ 6

b)

n ≤ 8

c)

n ≤ 5

d)

n ≤ 7

178.

On a high school baseball team each players’ height is greater than 120 cm. Which inequality and number line match this situation?

a)

A

b)

B

c)

C

d)

D

179.

Which choice models this situation?

At ACHI, there are 5 art classes with 24 students per class. How many students altogether are in the art classes?

a)

s - 5 = 24

b)

s + 5 = 24

c)

5s = 24

d)

s/5 = 24

180.

Which choice models this situation?

Hadlee needed new pencils for school today. She took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

181.

Which equation does this set of algebra tiles represent?

a)

x+8=14

b)

x+9=14

c)

x+9=22

d)

x+8=22

182.

Which set of algebra tiles represents the equation x+2=10?

a)

b)

c)

d)

183.

Which equation is modeled by the algebra tiles

a)

$x\ +\ 3\ =\ 9$

b)

$3x\ =\ 9$

c)

x + 9 = 3

d)

$\frac{x}{3}=\ 9$

184.

Which value of x best represents the solution to the equation

a)

x = -6

b)

x =3

c)

x = -9

d)

x = -3

185.

Which choice models this situation?

Maddi participated in a read-a-thon. Mrs. Dunnmeyer pledged $4 for each book read. When it ended, she gave Maddi a total of $44. How many books did Maddi read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

186.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

187.

What variable represents the independent variable?

a)

p

b)

d

188.

What is the equation that represents the relationship in the table?

a)

p + 3 = d

b)

d + 3 = p

c)

d = p + 3

d)

p = d + 3

189.

Translate each verbal phrase.

"n minus 2 is equal to 16"

a)

n = -2 + 16

b)

2 + 16 = n

c)

16 = n -2

d)

n - 2 = 16

190.

What equation can be used to represent the relationship between the independent variable (x) and dependent variable (y)?

a)

y = x + 4

b)

y = 3x

c)

x = y + 4

d)

x = 3y

191.

Which statement describes the relationship between x and y in these two equations?

Y = x - 2

Y = 2x

a)

In y = x - 2 and in y = 2x, the value is 2 less than the value of x.

b)

In y = x - 2 and in y = 2x, the value is 2 times the value of x.

c)

In y = x - 2, the value of y is 2 less than x, and in y = 2x, the value of y is twice the value of x.

d)

In y = x - 2, the value of y is 2 times the value of x, and in y = 2x, the value of y is 2 less than the value of x.

192.

Which situation can be represented by the equation y = 5x?

(Remember the important operation words: x, -, +)

a)

Isaiah went to the store for X days.
This is 5 times Y, the number of days his brother went to the store.

b)

Isaiah spent X dollars to buy a gift for his mom.
He gave the cashier Y dollars and received $5 in change.

c)

Isaiah has Y dollars.
This amount is 5 times X, the amount of money in dollars Isaiah's brother has.

d)

Isaiah is Y years old.
His age is 5 years greater than X, his brother's age in years.

193.

Which equation matches the table?

a)

y = x + 4

b)

y = 5x

c)

y = x - 4

d)

y = x + 16

194.

Which equation best represents the relationship in this table?

a)

y = 9.6x

b)

y = 10.6x

c)

y = 9.6

d)

y = x + 9.6

195.

Which values are the dependent variables?

a)

y- values

b)

x-values

196.

Which situation can be represented by the equation y = 12x?

a)

A factory uses a total of Y gallons of water at a rate of 12 gallons per hour for X hours.

b)

A bakery serves a total of Y cakes in one day, in which 12 cakes are served during the first hour and X meals are served during the remaining hours.

c)

A restaurant prepares a total of Y batches of pizza sauce from 12 pounds of tomatoes, with each batch weighing X pounds.

d)

A company manufactures a total of 12 plates every hour, with X of the plates made are blue and Y of the plates are green.

197.

Which equation represents the table?

a)

b)

c)

d)

198.

Jose travelled at a rate of 0.25 miles per minute. Which equation represents this relationship?

(Remember you can convert a fraction into a decimal, if needed)

a)

y = ^x/₄

b)

y = x + 0.25

c)

y = ¹⁄₄x

d)

y = 0.25

Unit 4 Mega Review

Total questions: 198

Worksheet time: 17hrs 30mins

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