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2 Step Word Problem Equations + Solve Multi-Step

Total questions: 16

Worksheet time: 30mins

Name
Class
Date
1.

Spencer prepaid a 12 month membership to Power Score Gym. He received a one-time discount of $25 for prepaying. Spencer paid a total of $335.

a)

12(m -25) = 335

b)

25m - 12 = 335

c)

12m - 25 = 335

d)

335 - 12m = 25

2.

Janelle took a rock-climbing course at Quartz Quarry Rock Gym. In addition to the fee for the 6 classes she took, the rock gym charged her $50 for climbing gear that she gets to keep. Janelle paid a total of $92.

a)

6c + 92 = 50

b)

50c + 6 = 92

c)

6c - 50 = 92

d)

6c + 50 = 92

3.

Gwen and her scout troops are heading to the Treetop Glider zip-line course. They plan to purchase the group package, which will be $504 for 14 people. That's $6 less per person than the normal cost for an individual.

a)

14x - 6 = 504

b)

14(x-6) = 504

c)

6(x - 14) = 504

d)

6x - 14 = 504

4.

Which equation is correct?

a)

6s + 30 = 90

b)

90 - 30 = 6s

c)

36s = 90

d)

6s - 30 = 90

5.

The Glitz Jewelry Kit contains round beads in 6 different colors plus 100 star-shaped beads. There are 250 beads in all.

a)

6(r + 100) = 250

b)

100r + 6r = 250

c)

6r + 100 = 250

d)

100r + 6 = 250

6.

Madelyn got 3 dresses dry-cleaned recently. When she picked up her dresses, she gave the cashier a couple that took $2 off each dress. Madelyn paid $48 in all.

a)

3(d - 2) = 48

b)

3d - 2 = 48

c)

2(d - 3) = 48

d)

3(d + 2) + 48

7.

Scruffy Pet Boxes sends pet supplies in the mail each month. Irma prepaid a 4-month subscription for her cats. She used a one-time coupon and received $8 off the total cost. Irma paid $54 in all.

a)

8m - 4 = 64

b)

4(m - 8) = 64

c)

4m - 8 = 64

d)

4m + 8 = 64

8.

Yesterday, Gabby made $112 at her pizza delivery job. $34 was tips and the rest was her regular rate of $12 per box delivered.

a)

12h + 34 = 112

b)

12(h + 34) = 112

c)

34h + 12 = 112

d)

34(h - 12) = 112

9.

Solve:

2(2x + 3) = -6(x + 9)

a)
1.2
b)
6
c)
-6
d)
7.5
10.

Solve:

7x + 19 = -2x + 55

a)
4
b)
14.8
c)
8.2
d)
-4
11.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
12.

Which equation will end in "no solution"?

a)

2w - 11 = 3w + 5

b)

2(w + 8) = 2(2w - 19)

c)

w + 7 + w = 2w - 9

d)

2w - 6 = 2(w - 10) + 5w

13.
Solve the equation:
4 - 6x - 2= -2(3x-1)
a)
no solution
b)
infinitely many solutions
c)
x = ⅓
d)
x = 4
14.

5(2x + 6) = 4(5 2x)+ 3x5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x  

a)

x =20x\ =-20  

b)

x = 20x\ =\ 20  

c)

x =10x\ =-10  

d)

x = 10x\ =\ 10  

15.
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
16.
-15 = 5a +12- 2a + 6
a)
-11
b)
-3
c)
10
d)
7