Free Printable Solving Multistep Equations

1.

Solve the equation a =m–n

for the variable n.

a)

n=a+ m

b)

n=a–m

c)

n=m–a

d)

n=–m–a

2.

Which of the equations shown have infinitely many solutions? Select all that apply.

a)

3x– 1 = 3x+ 1

b)

2x– 1 = 1 – 2x

c)

3x– 2 = 2x– 3

d)

3(x– 1) = 3x– 3

e)

2x+ 2 = 2(x+ 1)

3.

Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Write and solve an equation to find the number of miles m for which Tonya and Beth would charge the same amount.

(a)

4.

What is the value of x in the equation 4x – 2(x+ 3) = 8?

a)

x=1

b)

x=2.5

c)

x=3.5

d)

x=7

5.

Six friends all use $2-off coupons to buy themselves movie tickets. They spend a total of $42. What is the price of one movie ticket without the coupon?

a)

$5

b)

$7

c)

$9

d)

$11

6.

The sum of two consecutive even integers is 74. What are the two numbers?

(a)

7.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

8.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

9.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

10.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

11.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

12.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

13.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

14.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

15.

When solving 234 + N =389, what operation would you use to find the answer

a)

multiplication

b)

addition

c)

subtraction

d)

division

16.

4x+9=-2x-15

a)

x=-4

b)

x=-24

c)

x=-6

d)

x=1

Solving Multistep Equations

Total questions: 16

Worksheet time: 32mins

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