Free Printable 7th Grade Unit on Expressions

1.

Five times Mike's age, increased by 9

a)

5(x+9)

b)

9(5+x)

c)

9x+5

d)

5x+9

2.

What are the variables of
7x + 6y - 9

a)

6,7

b)

9

c)

6y, 7x

d)

x, y

3.

Evaluate the expression:
12r when r =4

a)

124

b)

8

c)

48

d)

16

4.

$x^2\ +\ 2\ -3x^2\ +1$

a)

$-2x^2+\ 3$

b)

$0$

c)

$4x^2\ +3$

5.

What is the coefficient?
-9 + -5x

a)

-9

b)

-5

c)

x

6.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

7.

How can 4(3 +9) be expressed using the distributive property?

a)

4(3) + 4(4 + 9)

b)

4(3) + 4(9)

c)

4 + 9 = 9 + 4

d)

(4 + 3) x (4 + 9)

8.

How can 5(3 +2) be expressed using the distributive property?

a)

5(3) x 5(2)

b)

(5 x 3) x (5 x 2)

c)

5(3) + 5(2)

d)

(5 + 3) x (5+2)

9.

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

10.

(x - 6)4

a)

24 - 4x

b)

4x - 6

c)

x - 24

d)

4x - 24

11.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

12.

-2(x + 5)

a)

-2x + 10

b)

-2x - 10

c)

-2x + 5

d)

-2x - 5

13.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

14.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

15.

Find the missing angle.

a)

53

b)

67

c)

77

d)

43

16.

Complementary angles are angles that together equal

a)

180 degrees

b)

90 degrees

c)

45 degrees

d)

100 degrees

17.

Find the missing angle.

a)

28

b)

32

c)

60

d)

38

18.

What is an example of a pair of complementary angles?

a)

13° and 45°

b)

10° and 170°

c)

81° and 9°

d)

90° and 3°

19.

What is an example of a pair of complementary angles?

a)

12° and 55°

b)

11° and 169°

c)

17° and 73°

d)

89° and 11°

20.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

21.

Find the missing angle.

a)

43

b)

47

c)

57

d)

67

22.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

23.

What term is used to describe a pair, or group, of angles that equal 180 degrees?

a)

Supplementary Angles

b)

Complementary Angles

c)

Vertical Angles

d)

Congruent Angles

24.

What is the value of "a"?

a)

45

b)

55

c)

35

d)

65

25.

If x = 19, what do these angles measure?

a)

123° and 57°

b)

123° and 60°

c)

123° and 40°

d)

123° and 55°

26.

Find the missing angle measure.

a)

61°

b)

153°

c)

27°

d)

146°

27.

Find the missing angle measure.

a)

30°

b)

45°

c)

35°

d)

100°

28.

a)

16 m

b)

16 m²

c)

8 m²

d)

0 m²

29.

a)

42 yd²

b)

84 yd²

c)

19 yd²

d)

5 yd²

30.

a)

54 m²

b)

27 m²

c)

54 m

d)

27 m

31.

a)

24.08 mm

b)

12.04 mm²

c)

24.08 mm²

d)

12.04 mm

32.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

33.

What kind of angles are shown?

a)

complementary

b)

supplementary

c)

adjacent

d)

corresponding

34.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

35.

What is the measure of the missing angle?

a)

76

b)

86

c)

166

d)

156

36.

If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?

a)

180

b)

50

c)

60

d)

80

37.

∠1 and ∠3 can best be described as what?

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

38.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

39.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

40.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

41.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

42.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

43.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

44.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

45.

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

46.

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

47.

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

48.

a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

49.

Solve and graph.
p - 3 > -8

a)

A

b)

B

c)

C

d)

D

50.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

51.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

52.

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year?

a)

3y > 63

b)

3y < 63

c)

3y ≤ 63

d)

3y ≥ 63

53.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

54.

What is the area of the parallelogram?

a)

32.94 square centimeters

b)

35.94 square centimeters

c)

30.4 square centimeters

d)

11.5 square centimeters

55.

Challenge level ninja!

A rectangle has a base of $2\ \frac{1}{2}$ meters and a height of $1\ \frac{2}{5}$ meters. What is the area of the rectangle?

a)

$2\ \frac{2}{10}\ m^2$

b)

$3\ \frac{3}{7}m^2$

c)

$3\ \frac{9}{10}\ m^2$

d)

$7\ \frac{4}{5}\ m^2$

56.

Find the volume of the figure.

a)

63 cm³

b)

91 cm³

c)

819 cm³

d)

409.5 cm³

57.

Volume is the amount of space an object takes up.

a)

True

b)

False

58.

What is the volume of the following triangular prism?

a)

45 cubic in

b)

36 cubic in

c)

108 cubic in

d)

54 cubic in

59.

What is the volume of this rectangular prism?

a)

26 cubic units

b)

24 cubic units

c)

24 square units

d)

26 square units

60.

Bob has a rectangular prism gift box what it the volume of bobs gift box?

a)

64in³

b)

60in³

c)

240in³

d)

24in³

61.

Which of the following is an example of the commutative property of multiplication?

a)

a. 5 x 6 = 6 x 5

b)

b. 5 + 6 = 6 + 6

c)

c. 7 x 3 = 3 x 4

d)

d. 3 x 4 = 3 x 7

62.

What is another way to write this multiplication problem? 5x3=

a)

3x2=

b)

5x6=

c)

15+2=

d)

3x5=

63.

Using the communitive property of addition complete the following number sentence ___ + 5 = 5 + 9.

a)

14

b)

7

c)

9

d)

11

64.

5 + 9 = 14, so 9 + 5 =

a)

11

b)

14

c)

15

d)

16

65.

What is the missing number?

8 + ____ = 2 + 8

a)

5

b)

10

c)

4

d)

2

66.

7 + (4 + 2) = 13, so (7 + 4) + 2

a)

10

b)

12

c)

13

d)

14

67.

What is the missing number?

4 + (____ + 5) = (4 + 7) + 5

a)

4

b)

5

c)

16

d)

7

68.

What is the missing number?

5 × (__× 9) = (5 × 8) × 9

a)

5

b)

360

c)

8

d)

9

69.

5 × (2 × 9) is also equal to:

a)

5 x (2 - 9)

b)

5 x (2 + 9)

c)

(5 x 2) x 9

d)

(5 x 2) + 9

70.

9 + (3 + 4) = 16, so (9 + 3) + 4 =

a)

26

b)

9

c)

17

d)

16

71.

What is the missing number?

2 + (__ + 4) = (2 + 6) + 4

a)

12

b)

2

c)

6

d)

4

72.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

73.

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a height of 20 centimeters. What is the surface area of that brick?

a)

650 cm²

b)

600 cm²

c)

525 cm²

d)

450 cm²

74.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

7th Grade Unit on Expressions

Total questions: 74

Worksheet time: 4hrs 59mins

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