Free Printable enVision Math 6 Topic 4 Practice questions

1.

What number would make this equation true? x + 2 = 4

a)

x = 0

b)

x = 1

c)

x = 2

d)

x = 4

2.

Which number would make both sides of this equation balanced? 4 = 16 ÷ n

a)

n = 2

b)

n = 4

c)

n = 12

d)

n = 20

3.

Tell which value of the variable is the solution of the equation.

6c=96; c=14, 15, 16, 17

a)

14

b)

15

c)

16

d)

17

e)

Not Given

4.

Tell which value of the variable is the solution of the equation.

128÷n=16; n=5, 6, 7, 8

a)

5

b)

6

c)

7

d)

8

e)

Not Given

5.

Tell which value of the variable is the solution of the equation.

4.7=a+3.09; a=0.8, 0.98, 1.61, 7.79

a)

.08

b)

0.98

c)

1.61

d)

7.79

e)

Not Given

6.

Tell which value of the variable is the solution of the equation.

6c=96; c=14, 15, 16, 17

a)

14

b)

15

c)

16

d)

17

e)

Not Given

7.

Tell which value of the variable is the solution of the equation.

c−$4.40=$1.09; c=$5.00, $5.20, $5.49, $6.00

a)

$5.00

b)

$5.20

c)

$5.49

d)

$6.00

e)

Not Given

8.

Tell which value of the variable is the solution of the equation.

128÷n=16; n=5, 6, 7, 8

a)

5

b)

6

c)

7

d)

8

e)

Not Given

9.

Tell which value of the variable is the solution of the equation.

14=c/4; c=52, 54, 56, 60

a)

52

b)

54

c)

56

d)

60

e)

Not Given

10.

Tell which value of the variable is the solution of the equation.

7+g=34; g=25, 27, 29, 41

a)

25

b)

27

c)

29

d)

41

e)

Not Given

11.

Tell which value of the variable is the solution of the equation.

5.7=3.79+g; g=1.9, 1.91, 2, 2.21

a)

1.9

b)

1.91

c)

2

d)

2.21

e)

Not given

12.

Tell which value of the variable is the solution of the equation.

6c=36; c=4, 5, 6, 7

a)

4

b)

5

c)

6

d)

7

e)

Not Given

13.

Tell which given value, if any, is the solution of the equation.

d÷5.20=2.40; d=10.92, 16.12, 17.68

a)

10.92

b)

16.12

c)

17.68

d)

Not Given

14.

Tell which given value, if any, is the solution of the equation.

m−63.28=14.92; m=77.86, 78.15, 79.20

a)

77.86

b)

78.15

c)

79.20

d)

Not Given

15.

What is the exponent: 2⁴

a)

2

b)

4

c)

8

d)

16

16.

Find the LCM of 6 and 8?

a)

6

b)

8

c)

48

d)

24

17.

Evaluate\ the\ \exp resion\ s^2\ +\ 5\ for\ s\ =\ \frac{1}{3}

a)

$5\frac{1}{9}$

b)

$5\frac{1}{6}$

c)

$25\frac{1}{3}$

d)

5

18.

Use the Distributive Property to simplify the expression.

3(4n + 3) - 4

a)

12n + 5

b)

12n - 4

c)

11

d)

12n - 1

19.

Simplify the expression.

\frac{1}{3}n\ +2x\ -3\ +\ 4.2x\ -4n

a)

$-0.46$

b)

$2\frac{1}{3}n\ +0.2x-3$

c)

$-3\frac{2}{3}n+6.2x-3$

d)

$2.33nx-3+0.2xn$

20.

Determine whether the given value is a solution.

86 = 4w, if w=24

a)

yes

b)

no

21.

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

a)

addition property of equality

b)

subtraction property of equality

c)

division property of equality

d)

multiplication property of equality

22.

What property of equality is shown below?

y - 12 = 30

y -12 + 12 = 30 +12

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

23.

What property of equality is show below?
7n=28
7n $\div$ 7 = 28 $\div$ 7

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

24.

What property of equality is shown below?

5m + 4 = 19

5m + 4 - 4 = 19 - 4

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

25.

What property of equality is shown below?

\frac{y}{7}=7

y\cdot

7 = 7

\cdot

7

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

26.

What property of equality is shown below?

10 + d = 25

10 + d -10 = 25 - 10

a)

addition property of equality

b)

subtraction property of equality

c)

division property of equality

d)

multiplication property of equality

27.

What property of equality is shown below?

\frac{y}{8}=8

y\cdot

8 = 8

\cdot

8

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

28.

What property of equality is shown below?

y - 6 = 20

y - 6 + 6 = 20 + 6

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

29.

Which property of equality is used:

14 + s = 28

14 + s - 2 = 28 - 2

a)

addition

b)

subtraction

c)

multiplication

d)

division

30.

What property of equality is used:

4y = 48

4y / 4 = 48 / 4

a)

addition

b)

subtraction

c)

multiplication

d)

division

31.

Which property of equality is used:

88 = 33 + 5x

2(88) = 2(33 + 5x)

a)

addition

b)

subtraction

c)

multiplication

d)

division

32.

Which property of equality is used:

d - 33 = 34

d - 33 + 33 = 34 + (30 + 3)

a)

addition

b)

subtraction

c)

multiplication

d)

division

33.

Which property of equality is being used:

3m + 14 = 19

3m + 14 - 14 = 19 - (19 - 5)

a)

addition

b)

subtraction

c)

multiplication

d)

division

34.

Are these equal?

10(3) = 30

10(3) + 4 = 30 + 5

a)

yes they're equal

b)

yes, the same number is added to each side

c)

no, a different number is added to each side

d)

no, a different number is multiplied on each side

35.

Are these equal:

8n = 180

8n/8 = 180/8

a)

yes, each side is divided by the same number

b)

yes, each side is multiplied by the same number

c)

no, each side is divided by different numbers

d)

no, each side is multiplied by different numbers

36.

Are these equal:

d/3 = 10

d/3 + 3 = 10 + 3

a)

yes, the same number is divided on each side

b)

yes, the same number is added on each side

c)

no, different numbers are added on each side

d)

no, different numbers are divided on each side

37.

Are these equal:

12 - 2 = 10

12 - 2 - 3 = 10 - 2

a)

yes, the same number is subtracted on each side

b)

yes, the same number is added on each side

c)

no, different numbers are subtracted on each side

d)

no, different numbers are added on each side

38.

Are these equal:

g/5 = 8 + 9

g/5 + 9 = 8 + 9

a)

yes, the same thing is added to both sides

b)

yes, the same thing is divided on both sides

c)

no, only the left side had something added to it

d)

no, only the left side had something divided on it

39.

Henry multiplies one side of the equation 56 + 124 = 180 by an unknown number n. What does he need to do to balance the equation?

a)

nothing, it's balanced

b)

add n to the other side

c)

multiply the other side by 56

d)

multiply the other side by n

40.

Maggie said that she could add 8 to both sides of any equation and the expressions on both sides of the equation would still be equal. Do you agree?

a)

yes, due to the addition property of equality

b)

yes, due to the subtraction property of equality

c)

no, you can't do that to equations

d)

no, she's wrong, they wouldn't be balanced

41.

Which is equivalent to 5 = 95/x

a)

5 = 95/x + 6

b)

5 + 6 = 95/x + 6

c)

5 + 6 = (95/x)6

d)

5/6 = 95/x + 6

42.

Which is NOT equivalent to 5 + n = 10

a)

5 + n - n = 10 - n

b)

5 + n - 5 = 10 - 5

c)

5 + n - 5 = 10 - 10

d)

5 + n + 3 = 10 + 3

43.

Together Alex and Lilly have 12 cats. If Alex has 3, write an equation to find out how many cats Lilly has.

a)

$12-3$

b)

$x-3=12$

c)

$x+3=12$

d)

$x=9$

44.

Erica is 4 years old. This is 12 years younger than her sister Jessica. Write an equation to find Jessica's age.

a)

$12+4$

b)

$12-x=4$

c)

$x-12=4$

d)

$x+12=4$

45.

What is the inverse operation of addition?

a)

Addition

b)

Subtraction

c)

Multipication

d)

Division

46.

What is the inverse operation of subtraction?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

47.

$x-9=15$

a)

$x=6$

b)

$x=16$

c)

$x=23$

d)

$x=24$

48.

Solve

17=y-20

a)

$y=3$

b)

$y=37$

c)

$y=-23$

d)

$y=-37$

49.

Write as an equation: a number b increased by 3 is 7

a)

b - 3 = 7

b)

b + 3 = 7

c)

7b = 3

d)

3b = 7

50.

Solve for a using the equation: a + 3.5 = 10

a)

a = 6.5

b)

a = 13.5

c)

a = 3.5

d)

a = 44

51.

Which choice models this situation?
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10/4 = v

d)

4v = 10

52.

Solve

y+1.34=4.7

a)

$y=6.04$

b)

$y=1.81$

c)

$y=3.46$

d)

$y=3.36$

53.

Together Alex and Lilly have 12 cats. If Alex has 3, write an equation to find out how many cats Lilly has.

a)

$12-3$

b)

$x-3=12$

c)

$x+3=12$

d)

$x=9$

54.

Erica is 4 years old. This is 12 years younger than her sister Jessica. Write an equation to find Jessica's age.

a)

$12+4$

b)

$12-x=4$

c)

$x-12=4$

d)

$x+12=4$

55.

What is the inverse operation of addition?

a)

Addition

b)

Subtraction

c)

Multipication

d)

Division

56.

What is the inverse operation of subtraction?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

57.

$x-9=15$

a)

$x=6$

b)

$x=16$

c)

$x=23$

d)

$x=24$

58.

Solve

17=y-20

a)

$y=3$

b)

$y=37$

c)

$y=-23$

d)

$y=-37$

59.

Write as an equation: a number b increased by 3 is 7

a)

b - 3 = 7

b)

b + 3 = 7

c)

7b = 3

d)

3b = 7

60.

Solve for a using the equation: a + 3.5 = 10

a)

a = 6.5

b)

a = 13.5

c)

a = 3.5

d)

a = 44

61.

Which choice models this situation?
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10/4 = v

d)

4v = 10

62.

Solve

y+1.34=4.7

a)

$y=6.04$

b)

$y=1.81$

c)

$y=3.46$

d)

$y=3.36$

63.

Solve 3c = 12

a)

36

b)

9

c)

4

d)

15

64.

Solve 32 = 4d

a)

28

b)

36

c)

128

d)

8

65.

18 = 2f

a)

9

b)

16

c)

20

d)

36

66.

9g = 45

a)

5

b)

36

c)

54

d)

405

67.

Solve 5x = 40

a)

6

b)

8

c)

9

d)

35

68.

6 = r∕3

a)

2

b)

9

c)

12

d)

18

69.

Solve 14 = w/2

a)

28

b)

24

c)

7

d)

6

70.

Solve x/12 = 3

a)

9

b)

4

c)

36

d)

24

71.

x/16 = 2

a)

32

b)

16

c)

2

d)

1/8

72.

Write an equation to represent "the quotient of a number and 4 is 6"

a)

4/16 = n

b)

n/16 = 4

c)

16/4 = n

d)

n/4 =16

73.

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

74.

Tara caught three times as many fish as Cole. Tara caught 63 fish by the end of the year. Which equation represents how many fish Tara caught?

a)

3c = 63

b)

3 + c = 63

c)

63 - c = 3

d)

c/3 = 63

75.

Sally bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

a)

18c=6

b)

c + 6= 18

c)

c +18 = 6

d)

3c=18

76.

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)

40 hours

b)

30 hours

c)

7 hours

d)

175 hours

77.

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

How many lollipops were in the jar to start with?

a)

24 lollipops

b)

10 lollipops

c)

2 lollipops

d)

12 lollipops

78.

Tara caught three times as many fish as Cole. Tara caught 63 fish by the end of the year. How many fish did Cole catch?

a)

21 fish

b)

66 fish

c)

189 fish

d)

60 fish

79.

Sally bought three candy bars for a total of $18.00. How much did each candy bar cost?

a)

$3.00

b)

$15.00

c)

$54.00

d)

$6.00

80.

Jasmine spent a total of $24 on 16 bags of Takis. How much does each bag cost?

a)

$8.00

b)

$1.00

c)

$1.50

d)

$1.33

81.

Write an equation to represent the following:

Jasmine spent a total of $24 on 16 bags of Takis. How much does each bag cost?

a)

$\frac{b}{24}=16$

b)

$24b=16$

c)

$16b=24$

d)

$\frac{b}{16}=24$

82.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollipops 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)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

83.

a)

$12\frac{1}{4}$

b)

12

c)

$12\frac{2}{4}$

d)

$12\frac{3}{4}$

84.

a)

$6\frac{5}{12}$

b)

$1\frac{2}{3}$

c)

$1\frac{7}{12}$

d)

1

85.

a)

$6\frac{3}{8}$

b)

$6\frac{1}{4}$

c)

$6\frac{7}{8}$

d)

$6\frac{1}{2}$

86.

a)

$10\frac{2}{7}$

b)

$10\frac{1}{2}$

c)

$10\frac{5}{7}$

d)

10

87.

a)

$9\frac{9}{12}$

b)

$9\frac{3}{4}$

c)

$81\frac{1}{12}$

d)

$81\frac{3}{4}$

88.

a)

60.87

b)

24.75

c)

36.12

d)

11.37

89.

a)

17.29

b)

17.19

c)

8.51

d)

8.19

90.

a)

5.95

b)

5.19

c)

5

d)

19.14

91.

a)

$\frac{1}{6}$

b)

$1\frac{2}{3}$

c)

$1\frac{1}{2}$

d)

1

92.

a)

$4\frac{9}{10}$

b)

6

c)

$6\frac{1}{5}$

d)

4

93.

Mr. Marlon buys four tickets for his family to visit the water park. The total cost is $210. What is the cost of each ticket?

a)

$52.50

b)

$50

c)

$210

d)

$200

94.

Hank has at least $7.50

a)

h = $7.50

b)

h > $7.50

c)

h ≥ $7.50

d)

h < $7.50

95.

A number is greater than 22.

a)

n < 22

b)

n = 22

c)

n > 22

d)

n ≥22

96.

Sherry is not 4 years old.

a)

s = 4

b)

s ≠ 4

c)

s < 4

d)

s > 4

97.

A value does not equal $2\ \frac{1}{2}$

a)

v = 2.5

b)

v ≠ 2.5

c)

v < 2.5

d)

v > 2.5

98.

Sally's age is at most 15.

a)

s = 15

b)

s < 15

c)

s ≤ 15

d)

s > 15

99.

The width of the picture is shorter than 8.5

a)

w< 8.5

b)

w = 8.5

c)

w > 8.5

d)

w ≤ 8.5

100.

Steve's height is at least 48 inches.

a)

h < 48

b)

h = 48

c)

h > 48

d)

h ≥ 48

101.

Lucy's brother's age is not 24 months.

a)

a < 24

b)

a = 24

c)

a ≠ 24

d)

a > 24

102.

The number of quarters in the jar is less than 75.

a)

n < 75

b)

n = 75

c)

n ≠ 75

d)

n > 75

103.

The length of a fish must be at least 10 inches to keep it.

a)

f < 10

b)

f = 10

c)

f > 10

d)

f ≥ 10

104.

The cost of the item is $25.

a)

c < 25

b)

c = 25

c)

c ≥ 25

d)

c > 25

105.

Harry is taller than 60 inches.

a)

h < 60

b)

h = 60

c)

h > 60

d)

h ≥ 60

106.

Up to 12 people can ride in the van.

a)

v < 12

b)

v ≤ 12

c)

v = 12

d)

v > 12

107.

x is no more than 13

a)

x < 13

b)

x > 13

c)

x ≥ 13

d)

x ≤ 13

108.

4h < 8

a)

h < 32

b)

h < 2

c)

h < 4

d)

h > 2

109.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

110.

Match the graph with its inequality.

a)

c > 9

b)

c < 9

c)

c ≥ 9

d)

c ≤ 9

111.

Match the graph with its inequality.

a)

d > 6

b)

d < 6

c)

d ≥ 6

d)

d ≤ 6

112.

Match the graph with its inequality.

a)

g > –2.8

b)

g < –2.8

c)

g ≥ –2.8

d)

g ≤ –2.8

113.

Match the graph with its inequality.

a)

x < 11

b)

x > 11

c)

x ≤ 11

d)

x ≥ 11

114.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

115.

Solve
c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < - 15

d)

c ≥15

116.

When graphing b < 6 would you use an open or closed circle?

a)

Open ○

b)

Closed •

117.

Will my circle be closed•?
5 ≥ x

a)

Yes

b)

No

118.

Which graph correctly shows:
x < 6

a)

A

b)

B

c)

C

d)

D

119.

Does the given value make the inequality true?
x + 9 > 21, when x = 15

a)

True

b)

False

120.

Is 22 a possible solution for the graphed inequality?

a)

Yes!

b)

No!

121.

Is 6 a possible solution?

a)

yes!

b)

no!

122.

m - 5 > 10

a)

m < 15

b)

m > 5

c)

m >15

d)

m < 5

123.

Which inequality is shown by the graph?

a)

t + 7 ≤ 12

b)

5x ≤ 25

c)

x - 3 ≤ 2

d)

ALL OF THEM!

124.

Is 5 a possible solution?

a)

Yes!

b)

No!

125.

Which inequality is represented by this graph? hint: don't be tricked by the variable on the left

a)

2.75 > d

b)

2.75 < d

c)

2.75 ≥ d

d)

2.75 ≤ d

126.

the temperature (t) in Alaska is less than 54 degrees

a)

t > 54

b)

t < 54

c)

t > 54

d)

t < 54

127.

There are a minimum of 200 people allowed on the airplane.

a)

p < 200

b)

p > 200

c)

p > 200

d)

p < 200

128.

Karen has $25 to buy her best friend a gift. How much can the gift cost?
Let x represent the cost of the gift.

a)

x > 25

b)

x ≥ 25

c)

x < 25

d)

x ≤ 25

129.

What inequality does the number line graph represent?

a)

6x ≥ 18

b)

x + 6 > 3

c)

2x < 9

d)

x - 1 ≤ 2

130.

Monica has $50 to spend at the mall. She decides to spend $15 on a shirt. Which inequality describes how much money Monica has left to spend at the mall?

a)

15 + x ≤ 50

b)

15 + x ≥ 50

c)

15 + x < 50

d)

15 + x > 50

131.

All students must get at least a 70% for the year in order to pass math.

a)

x = 70

b)

x > 70

c)

x ≥ 70

d)

x ≤ 70

132.

Complete the inequality with the correct symbol.

The distance of the run, r is farther than 3.5 kilometers

r _ 3.5

a)

<

b)

≤

c)

>

d)

≥

133.

Name three solutions of the following inequality. Choose all that apply

y ≥ 120

a)

121

b)

118

c)

122

d)

1

e)

120

134.

The number of students, s, who know how to ride in a bike is less than 10.

a)

s < 10

b)

s > 10

c)

s ≥ 10

d)

s ≤ 10

135.

The maximum weight, w, an bridge can hold is 2,200 pounds.

a)

w ≥ 2,200

b)

w > 2,200

c)

w ≤ 2,200

d)

w < 2,200

136.

Simon can jump a distance that is 2 centimeters longer than 1 meter. Travis said he can jump farther than Simon because he can jump 102 centimeters. Choose all the statements that are true.

a)

Simon can jump farther than Travis.

b)

Travis can jump farther than Simon.

c)

Simon and Travis can jump the same distance.

d)

Simon can jump 102 centimeters.

e)

Travis can jump 102 centimeters

137.

The record for the most cupcakes sold for the school fundraiser is 593. Let c be the number of cupcakes sold. Which inequality represents a number that would beat the school record

a)

c = 593

b)

c > 593

c)

c < 593

d)

593 < c

138.

Which inequality is graphed on the number line? Use t as the variable.

(a)

139.

Which inequality is represented on the graph? Use x as the variable.

(a)

140.

Mary has a gift card to buy a new Iphone. She says the card’s value is not enough to buy any of the Iphones shown. Let v be the value of the gift card. Which inequality best describes the value of the gift card?

a)

v < 599

b)

v > 599

c)

v > 399

d)

v < 399

141.

The graph shows the inequality y > 0.3. Select all the possible values of y.

a)

4.0

b)

0.9

c)

0.01

d)

0.1

e)

0.5

142.

Choose the graph that shows the inequality z > 4.3.

a)

b)

c)

d)

143.

Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?

a)

c = the number of costumes

b)

d = the number of dances

144.

Name the INDEPENDENT variable from the table below.

a)

words

b)

minutes

145.

Ramone wants to know: does the distance a person kicks a soccer ball effect how well they will do on their math test. What is the dependent variable?

a)

How far they kick the soccer ball

b)

who the person is

c)

how well they do on the math test

d)

Type of soccer ball.

146.

Identify the independent variable:

The amount of money, m, earned if t raffle tickets are sold

a)

money, m

b)

tickets, t

147.

You are doing chores to earn your allowance. For each chore you do, you earn $3. In the equation below, c is the number of chores you do, and d is the number of dollars you earn.

The relationship between these two variables can be expressed by the following equation:

d=3c

Which of the following is the independent variable?

a)

The number of chores you do

b)

The amount of dollars you earn

148.

Dilcia wants to know how drinking milk affects how tall Monica grows. Which is the independent variable?

a)

Monica's growth

b)

drinking milk

149.

You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine your distance from your house by adding 5 to the number of miles you have walked. In the equation below, x represents the number of miles you have walked, and y represents your distance from home in miles.

The relationship between these two variables can be expressed by the following equation:

y=x+5

Which is the independent variable?

a)

Your distance from home

b)

number of miles you walked

150.

Sophie earned $5 for every A she got on her report card.

m = money

A = A on report card

The dependent variable is:

a)

m = money

b)

A = A on report card

151.

In the table, Bubbles is the ______________.

a)

independent variable

b)

dependent variable

enVision Math 6 Topic 4 Practice questions

Total questions: 151

Worksheet time: 4hrs 50mins

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