Multi-Step Equations & Variables on Both Sides

Multi-Step

100

72 + 4 - 14d = 20

What is d = -4

200

17 = p - 3 - 3p

What is -10

300

64 = 8(r+2)

What is 6

400

7(f - 1) = 49

What is 8

500

-4(r + 6) = -64

What is 10

Remember Reciprocals

100

6(x+3) = 5(x + 4)

What is x = 2?

200

b/3 + 5 = 19

What is b= 42

300

11z/16 = 5/16

What is 5/11

400

4/5v - 25= 5

What is 37.5?

500

25.24 = 5g + 3.89

What is 4.27

Variables on both sides

100

4p + 2 = 3p - 7

What is -9

200

3n - 5 = 7n + 11

What is -4

300

3(q - 5) = 2(q + 5)

What is 25

400

2(a - 4) = 4a - (2a + 4)

What is No Solution

500

4 - d = 4

What is 0? 

Variables on both sides #2

100

9 - 4d = 2d + 3

What is 1?

200

2.25(4x - 4) = -2 +10x +12

What is -19

300

2h + 3(h - 6) = 5h

What is No Solution

400

-2(-c - 12) = -2c - 12

What is -9

500

3(m + 1.5) = 2(2m + 3)

What is m = -1.5

Word Problems

100

Three friends go bowling. The cost per person per game is $5.30. The cost to rent shoes is $2.50 per person. Their total cost is $55.20. How many games did each person  play?

What is 3 Games

200

You want to earn $300 this week. You earn $12.00 per hour and will definitely work 5 hours on Saturday.  How many hours do you need to work during the week to earn $300.00? 

What is 20 hours?

300

You need to make 400 pancakes for the Hudson's Bay Track team.  You will make two sizes, 4 inches and 6 inches.  You need 4 times as many 4 inch pancakes as 6 inch pancakes.  How many of each do you need to make? 

What are 80 6 inch pancakes and 320 4 inch pancakes?

400

One health club charges a $50 sign up fee and $65 per month. Another club charges a $90 sign up fee and $45 per month. For what number of months is the cost of the clubs equal?

What is 2 Months

500

A box of nails weighs 1200 grams.  The empty box weighs 18 grams.  Each nail weighs 2 grams.  How many nails are in the box? 

What are 591 nails.