Free Printable Solving Multi Step Equations

1.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

2.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

3.

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

a)

no solution

b)

all real numbers (infinite)

c)

x = 6

d)

x = 0

4.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

no solution

d)

all real numbers (infinite)

5.

5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

6.

4(-8x + 5) = -32x - 26

a)

54

b)

-54

c)

all real numbers (infinite)

d)

no solution

7.

38 + 7k = 8(k + 4)

a)

6

b)

8

c)

-6

d)

1

8.

3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

9.

2x + 1 = 2(x -10)

a)

No Solution

b)

x = 0

c)

all real numbers (infinite)

10.

2x + 1 = 2(x -10)

a)

No Solution

b)

x = 0

c)

all real numbers (infinite)

11.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

12.

Solve the equation:
3x - x + 4 = 4(2x +1)

a)

no solution

b)

infinite solutions

c)

x = 6

d)

x = 0

13.

a)

1

b)

0

c)

2

d)

7

14.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

15.

Which of the following are basic rules used for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

16.

$5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x$

a)

$x\ =-20$

b)

$x\ =\ 20$

c)

$x\ =-10$

d)

$x\ =\ 10$

17.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

x = 7

b)

x = 1

c)

x = -1

d)

x = -3

18.

$-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$

a)

$x\ =\ 2$

b)

$x\ =\ .5$

c)

$x\ =\ -2$

d)

$x\ =\ -.5$

19.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

20.

What value for n makes the following sentence true?

2(n + 3) = 5

a)

1

b)

10

c)

5.5

d)

-0.5

21.

9b + 1 = 2b + 29

a)

b = 7

b)

b = 4

c)

b = -28

d)

b = 0

22.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

23.

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

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.

24.

Solve for y in the following equation:

y ÷ 3 = 12

a)

36

b)

-36

c)

4

d)

-4

25.

Solve for z in the following equation:

z - 33 = 147

a)

z= 114

b)

z = 177

c)

z = 180

d)

No Solution

26.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

27.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

28.

30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

29.

5 - 2t = 3t

a)

1

b)

5

c)

3

d)

2

30.

Solve for a:

9+2a = -3-4a

a)

a=5

b)

a= -1

c)

a= -2

d)

a=2

31.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

32.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

33.

Solve the equation
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

34.

250 + 16h = 210 + 18h

a)

h = 20

b)

h = 18

c)

h = 19

d)

h = 2

35.

Solve the equation

a)

n = 6

b)

n = -6

c)

n = 18

d)

n = -2

36.

2+14a=-8+9a

a)

a = 2

b)

a = -2

c)

a = ⁶⁄₅

d)

a = 1

37.

-2x - 10 = 14x - 7

a)

x = $\frac{1}{4}$

b)

x = 4

c)

x = 3

d)

x = 12

38.

How do you know which direction to move the variable?

a)

Just pick!

b)

ALWAYS move towards the largest variable.

c)

You don't move the variable.

d)

What is a variable!

39.

Solve
28 + 3r = 10r

a)

r = 4

b)

r = 7

c)

r = 20

d)

r = 28

40.

$5+2x=2x+6$

a)

$x=2$

b)

$x=11$

c)

No Solution

d)

Infinitely Many Solutions

Solving Multi Step Equations

Total questions: 40

Worksheet time: 3hrs 35mins

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