Free Printable 6th Grade - Chapter 7 Review

1.

The sum of a number b and 19 is 14.

a)

b+19=14

b)

b=19+14

c)

b+14=19

2.

The product of 14 and a number v is 44.

a)

14+v=44

b)

44v=14

c)

14v=44

d)

v/14 = 44

3.

Solve the equation. Check your solution.

a + 23 = 33

a)

11

b)

56

c)

10

d)

12

4.

Solve the equation. Check your solution.

x - 3 = 14

a)

11

b)

17

c)

25

d)

18

5.

Solve the equation. Check your solution.

c / 10 = 20

a)

30

b)

200

c)

2

d)

3

6.

Tell whether the ordered pair is a solution of the equation. y=x-12 ; (14, 2)

a)

yes

b)

no

7.

Tell whether the ordered pair is a solution of the equation. y = x/10 ; (7,70)

a)

yes

b)

no

8.

A number b is less than 12

a)

b>12

b)

d<12

c)

b≤12

d)

b<12

9.

A number y divided by 6 is no more than 2.

a)

y/6=2

b)

y/6≤2

c)

y/6<2

d)

y/6>2

10.

Tell whether the given value is a solution of the inequality.
x+3>12; x=5

a)

Solution

b)

Not a solution

11.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

12.

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

a)

≤, ≥

b)

<, >

13.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

14.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

15.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

16.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

17.

n + 7 = 9
n = ?

a)

6

b)

2

c)

16

d)

63

18.

40 = 4y
y = ________

a)

160

b)

44

c)

10

d)

36

19.

18 > 12 + x
What is a possible value for x

a)

6

b)

8

c)

3

d)

10

20.

Which number(s) make this inequality true? 9 ≤ c + 1

a)

5

b)

8

c)

1

d)

3

21.

What is a 1-step problem?

a)

A problem where multiple operations are present.

b)

A problem where the variable is missing.

c)

An equation where only one step is needed to solve it.

d)

An equation where two steps are needed to solve it.

22.

Is 5 a solution for 3x + 4 = 19

a)

yes

b)

no

23.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

24.

a)

x>48

b)

x>3

c)

x≥48

d)

x<3

25.

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

26.

a)

q≤46

b)

q<46

c)

q≥46

d)

q<46

27.

a)

y<139

b)

y≥55

c)

y>55

d)

y≤139

28.

5x < 5

a)

x < 1

b)

x > 1

c)

x > 0

d)

x < 25

29.

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

a)

Open

b)

closed

30.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

31.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

32.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

33.

Less than or equal to

a)

<

b)

>

c)

≤

d)

≥

34.

Solve for x
17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

35.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

36.

What equation matches 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)

Answer not Given

37.

x - 62 = 123
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)

Add 123 to each side.

38.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

39.

Solve for z
144=12z

a)

z=20

b)

z=11

c)

z=12

40.

In the equation

x + 7 = 12

7 is being added to the variable, x.

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

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.

The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

41.

$16\ =\frac{k}{11}$

The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

42.

Solve for z in the following equation:

z - 33 = 147

a)

z= 114

b)

z = 177

c)

z = 180

d)

No Solution

43.

What is the goal when we are solving equations?

a)

Make the variable disapear

b)

Isolate the Variable

c)

Double the Variable

d)

Make the equation equal zero

44.

What is the inverse, or "opposite" operation of subtraction?

a)

Multiplication

b)

Division

c)

Addition

d)

Subtraction

45.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

46.

58 = s + 45

a)

34

b)

10

c)

13

d)

49

47.

h - 25 = 70

a)

95

b)

45

c)

50

d)

0

48.

(1/2)x = 32

a)

16

b)

32

c)

64

d)

132

49.

x/8 = 2

a)

16

b)

32

c)

64

d)

132

50.

The sum of a number k and 5 is 11.

a)

5k = 11

b)

5 - k =11

c)

5/k = 11

d)

5 + k = 11

51.

4 is the quotient of 16 and a number n.

a)

4 = 16n

b)

4 = 16/n

c)

4 = 16 + n

d)

4 = 16 - n

52.

The difference of a number x and 2 is 7.

a)

x - 2 = 7

b)

x + 2 = 7

c)

2x = 7

d)

2/x = 7

53.

7 times a number a is 42.

a)

7a = 42

b)

7 + a = 42

c)

7/a = 42

d)

7 - a = 42

54.

6 is one-third of a number s

a)

6 = 1/3 + s

b)

6 = 1/3s

c)

6 = 1/3 - s

55.

A number z divided by 7 equals 4

a)

z + 7 = 4

b)

z - 7 = 4

c)

7z = 4

d)

z/7 = 4

56.

a)

$x\le-4$

b)

$x\ge-4$

c)

$x<-4$

d)

$x>-4$

57.

a)

$x\le7$

b)

$x<7$

c)

$x\ge7$

d)

$x>7$

58.

a)

$x\ge5$

b)

$x>5$

c)

$x\le5$

d)

$x<5$

59.

a)

$x\le6$

b)

$x<6$

c)

$x\ge6$

d)

$x>6$

60.

Which phrase best describes the graph of 4 > b?

a)

open circle, arrow pointing left

b)

open circle, arrow pointing right

c)

closed circle, arrow pointing right

d)

closed circle, arrow pointing left

61.

Write x ≤ 23 in words.

a)

x is greater than 23

b)

x is greater than or equal to 23

c)

x is less than 23

d)

x is less than or equal to 23

62.

Write an inequality: There must be at least 20 club members present to hold a meeting.

a)

m > 20

b)

m < 20

c)

m ≤ 20

d)

m ≥ 20

63.

Write an inequality: The maximum speed allowed on Main Street is 25 mph.

a)

s < 25

b)

s > 25

c)

s ≥ 25

d)

s ≤ 25

64.

x - 4 < 8

a)

x < 12

b)

x < 8

c)

x > 8

d)

x = 8

65.

you must be at least 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

66.

Greater than or equal to

a)

<

b)

>

c)

≤

d)

≥

67.

Less Than

a)

<

b)

>

c)

≤

d)

≥

68.

Which of the following choices are solutions to the inequality?
X $\le$ 10
SELECT ALL THAT APPLY

a)

10

b)

11

c)

9

d)

8

69.

Which of the following choices are solutions to the inequality?

x > 4

SELECT ALL THE APPLY

a)

3

b)

4

c)

5

d)

6

70.

No More Than

a)

<

b)

>

c)

≤

d)

≥

71.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

72.

If you were to graph the inequality would the circle be open or closed?
x > 45

a)

open

b)

closed

73.

If you were to graph the inequality would the circle be open or closed?
x ≥ 15

a)

open

b)

closed

74.

Tell whether the value of the variable is a solution to the equation:

\frac{6}{y}=3\ ;\ \ y\ =2

a)

yes

b)

no

75.

Which of these is an equation?

a)

5x + 3

b)

m - 8 = 12

c)

x + 7 > 13

d)

πr² + πrh

76.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

77.

When x = 6 in the equation
3x = 18
3(6) = 18
18= 18
TRUE OR FALSE?

a)

TRUE

b)

FALSE

78.

When x = 5 in the equation
x + 7 = 15
(5) + 7 = 15
12 = 15
TRUE OR FALSE?

a)

TRUE

b)

FALSE

79.

Which of the following is NOT an example of inverse operations?

a)

Addition and subtraction

b)

Multiplication and division

c)

Multiplication and subtraction

d)

Square and square root

80.

Select matching statement for the inequality x > 55

a)

Warmer than 55 degrees

b)

Colder than 55 degrees

c)

A minimum of 55 degrees

d)

A maximum of 55 degrees

81.

What is this symbol?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

82.

What is this symbol?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

83.

What symbol could go in the box to make a true statement?
9 ___ -9

a)

>

b)

<

c)

≥

d)

≤

84.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

85.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

86.

Solve 5x + 9 > 34

a)

x > -5

b)

x > 5

c)

x < -5

d)

x < 5

87.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

88.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

89.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

90.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

6th Grade - Chapter 7 Review

Total questions: 90

Worksheet time: 3hrs 31mins

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