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Worksheets

Solving equations & Formulas

Total questions: 44

Worksheet time: 4hrs 40mins

Name
Class
Date
1.
a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

2.

2(3h + 5) = - 8

a)

h = - 3

b)

h = -12

c)

h = 8

d)

h = - 4

3.

4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10

4.

67\frac{6}{7} x = 6

a)

3

b)

8

c)

7

5.

6p + 10 - 3p = 37

a)

p = 9

b)

p = -5

c)

p = 7

d)

p = 8

6.

Solve.

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

7.

4=2r-10

a)

7

b)

15

c)

14

d)

9

8.

-9(w - 4) = 54

a)

w = 10

b)

w = -6

c)

w = -3

d)

w = -2

9.

The goal of solving equations is to:

a)

francine

b)

Find the coefficient 

c)

Find the value of the variable

10.

-119=1-6(3n-4)

a)

11

b)

8

c)

14

d)

9

11.

Solve.

a)

15

b)

3

c)

-15

d)

-3

12.

Solve for the given variable:

5k + 9 = 19

a)

k = 3

b)

k = -5

c)

k = 2

d)

k = 6

13.

15f + 12 - 9 - 11f = 43

a)

f = - 9

b)

f = 11

c)

f = - 8

d)

f = 10

14.

7 (1 + 2n) = -105

a)

2

b)

7

c)

-8

d)

90909090909

15.

4 + 7a + 6 - 2a = 45

a)

a = 5

b)

a = 8

c)

a = - 4

d)

a = 7

16.
a)
19.8 km2
b)
37.8 km2
c)
18.9 km2
d)
35 km2
17.

Find the area.

a)

25.9 yd2

b)

12.95 yd2

c)

6.475 yd2

d)

12.95 m2

18.

What is the area of a circle with the diameter of 10cm ?

a)

66 cm266\ cm^2

b)

78.5cm278.5cm^2

c)

66.5cm266.5cm^2

d)

10m210m^2

19.
What is the area of this circle?
a)

62.59 cm262.59\ cm^2

b)

113.1 cm2113.1\ cm^2

c)

19.81 cm219.81\ cm^2

d)

28.27 cm228.27\ cm^2

20.

A professional football field is 120 yards long and 53 yards wide. How far will you run if you go all the way around it?

a)

346 square yards

b)

173 yards

c)

240 yards

d)

346 yards

21.

The president wants the carpet in the East Room of the White House replaced. The East Room is 79 feet long by 36 feet wide. How much carpet should the decorator order?

a)

8,248 square feet

b)

2,848 square feet

c)

4,288 square feet

d)

2,844 square feet

22.

Kayla wants to build a fence in her backyard. The length of her backyard is 30 feet and the width is 45 feet. How many feet of fence will she need to buy?

a)

75 feet

b)

1,350 feet

c)

1,000 feet

d)

150 feet

23.

The Pacers' basketball court is 94 feet by 50 feet. How much space do the players have to play their game?

a)

4,100 square feet

b)

288 square feet

c)

144 square feet

d)

4,700 square feet

24.

Jenny's room is 13 feet long and 12 feet wide. Ruth's room is 14 feet long and 11 feet wide. Whose room has the greater perimeter?

a)

Jenny's

b)

Ruth's

c)

They are the same

25.

Area of triangle?

a)

17 units2

b)

20 units2

c)

10 units2

d)

16 units2

26.
Find the area:
a)
13 in2
b)
20 in2
c)
26 in2
d)
40 in2
27.

The area of a rectangle is 18 sq. cm. One side length is 6 cm. What is the other side length?

a)

3 cm

b)

2 cm

c)

4 cm

d)

7 cm

28.
If the area of a triangle is 30 square inches and the base is 5 in., what is the height?
a)
3 in
b)
6 in
c)
12 in
d)
13 in
29.
Find the area.
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
30.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
31.
What is the area of the composite shape?
a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
32.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
33.

The radius of a cookie is 5 inches. What is the cookie’s

circumference?

a)

10 in

b)

2.5 in

c)

15.7 in

d)

31.4 in

34.

Find the perimeter of the rectangle.

a)

38 cm.

b)

19 cm.

c)

84 cm.

d)

42 cm.

35.

Find the perimeter of the triangle.

a)

120 ft.

b)

32 ft.

c)

40 ft.

d)

20 ft.

36.

Find the Area.

a)

91 ft2

b)

77 ft2

c)

78 ft2

d)

105 ft2

37.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
38.

Find the circumference. Round to the nearest tenth.

a)

18.8 cm.

b)

75.4 cm.

c)

37.7 cm.

d)

not enough information

39.

Find the area.

a)

25 in2

b)

70 in2

c)

80 in2

d)

56 in2

40.

Find the perimeter of the shape.

a)

27 ft.

b)

40 ft.

c)

27 ft.

d)

54 ft.

41.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
42.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

43.
8z - 22 = 3 ( 3z + 11) -z
a)
No Solution
b)
One Solution
c)
Infinite Solutions
44.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these