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Worksheets

Solving Equations

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.

Solve for the variable


3x=-27

a)

x=9

b)

x=-30

c)

x=-9

d)

x=-24

2.

Translate into an expression:


two more than three times x

a)

3x-2

b)

2>3x

c)

2+3x

d)

2(3x)

3.

Solve for d:


-7(6 + d) = 49

a)

13

b)

1

c)

-1

d)

-13

4.

What is the first step to complete when solving this equation?


10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

5.

Solve for b:


.5b + 4 = 20

a)

8

b)

48

c)

24

d)

32

6.

Translate:


Four times a number plus six is 30.

a)

4 + 6 = 30

b)

4x + 6 = 30

c)

x + 4 times 6 = 30

d)

30 = 4x

7.
Which equation has x = 2 as a solution?
a)
3 + x = 10
b)
11 + x = 13
c)
4x = 32
d)
5x =25
8.

Solve for y:


16 = - 4(y + 3)

a)

7

b)

- 7

c)

6

d)

- 6

9.

Solve for x:


8x - 8 = -4x + 16

a)

x = 8

b)

x = 16

c)

x = 24

d)

x = 2

10.

Solve for x:


10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

11.

Solve for x:


4(1 - x) + 3x = -2(x + 1)

a)

x = -6

b)

x = 6

c)

x = 3

12.

Solve for x:


6x + 1 = -6(1 - x)

a)

x = 1

b)

x = -6

c)

No Solution

d)

Infinitely Many Solutions

13.

Solve for r:


4(3r + 4) = -8(2r + 5)

a)

r = -6

b)

r = -2

c)

Infinitely Many Solutions

d)

No Solution

14.

Why do you have to do the same thing to both sides of an equation when solving for the variable?

a)

To maintain equality

b)

Because it's fun

c)

You don't have to

d)

To keep both sides balanced

15.

Solve:


7(1 - y) = -3(y - 2)

a)

y = 1/4

b)

y = 4

c)

y = 5

16.

Solve for x:


3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

17.

Which equation has a solution of x = 1?

a)

2x + 1 = 12

b)

5x - 2 = 3

c)

x + 1 = x - 1

d)

5 - x = 6

18.

At Joe's Clown Car Rental Agency, renting a car costs a one time fee of $35 plus $0.75 for every mile it is driven. Which of the equations below would be the correct if it costs Melissa $105 to rent a car?

a)

105 = x(35 + 0.75)

b)

105 = 35x + 0.75

c)

105 = 0.75x + 35

d)

105 = 0.75(x + 35)

19.
Paul is 4 years more than twice the age of his brother Martin.  The sum of their ages is 52, write and solve an equation to find out how old each brother is.
a)
4 + 2m = 52; Martin in 24 and Paul is 52
b)
4 + 2m + m = 52; Martin is 16 and Paul is 36
c)
4 + 2m; Martin is 52 and Paul is 24
d)
4 + 2m + m = 52; Martin is 36 and Paul is 16
20.

Distributing means to _________ the number in front of the parenthesis with terms inside the parenthesis.

a)

Add

b)

Subtract

c)

Divide

d)

Multiply