Substitution
Two-Step
Distributive
Word Problems
100

7x+ 6 if x=2

62

100

10x+7=27

x=2

100

4(x-19)

x=23

100

Eva, Morgan, and Sophia all get 30 dimes added to their collection. Eva has doubled her amount, Morgan has tripled her amount, and Sophia now has 45 dimes. How many, in total did they all start with?

55 dimes

200

3x+ 5 if x=4

53

200

5x+7=30

x=4.6

200

20(x+14)

x=6

200

Don and Carlin are painting for a project. In total, they need to make 54 paintings. If Carlin has made 1/3 of the total, how many paintings does Don need to make.

36 paintings

300

6x+ 8 if x=4

392

300

7x+14=35

x=3

300

45(x-9)

x=54

300

Liam and Kathleen are running rival lemonade stands. Kathleen has had 4 times the half of customers Liam's stand has had. If Liam has had 16 customers how many has Kathleen had?

32 customers

400

5x+ 10 if x=3

415


400

15x+6=66

x=4

400

17(x+8)

x=9

400

Bella and Samantha are playing a card game. Bella has 35 more points than triple the points of Samantha. If Samantha has 20 points how many does Bella have?

95 points

500

2 times 3xif x=5

3,750

500

30x times 4 =600

x=5

500

50(x+81)

x=-31

500

Katie an John both have the same amount of pennies on Monday. By Thursday Katie has doubled her amount, and john has lost 15 of his pennies. If John now has 20 pennies, and Katie has 50, how many did they have on Monday?

35 pennies