How many Solutions?
Two Step
Multi-Step
Multi-Variable
Word Problems
100

3x = 9 - 3x

What is: 1 solution

x=1.5

100

2x + 5 = 23

What is x = 9?

100

5t - 4= t - 8

What is t=-1?

100

Solve for x: 3x + 9y = 27

What is x=9-3y

100

 A printing company charges a $40 setup fee and $5 per poster. A student group has $115 for posters. Xavier wrote 40 + 5x = 115 to describe the situation. Solve for x and explain the meaning of the solution.

What is: x=15, 15 represents posters

200

6x = 2x

What is: 1 solution

x=0

200
m/-2 + 7 = 21
What is m= -28?
200

7 + 3h = -1 -5h

What is h= -1?

200

Solve for x: 3x+2y=50

What is x = (50-2y)/3

200

Tickets to a movie theater cost $10 for each adult and $7 for each child. A family has $100 for tickets. 

Write an equation for this relationship. 

• Use a for the number of adult tickets. 

• Use c for the number of child tickets.

What is: 10a+7c=100

300

7x + 8 = 7(x + 1)

What is: No Solution

300
49 = 5y - 26
What is y = 15?
300

6d + 1 = 15 - d

What is d= 2?

300
Solve for t: D=rt

What is D/r = t

300

The equation 7a+2c= 100 represents $7 per adult movie ticket and $2 per child movie ticket. If 6 adults go to the movies, how many children can go for $100?

What is: 29 children

400

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

What is: Infinite Solutions

400
-2w + 1 = -9
What is w= 5?
400

5(t+2) = 25 + 2t

What is t=5?

400
Solve for x:    mx+b=y

What is x= (y-b)/m

400

Neel won 20 tickets at the fair to trade in for prizes. He can get a sticker for 2 tickets and a pencil for 3 tickets. Let s represent the number of stickers Neel gets and p represent the number of pencils. 

1. Write an equation to represent this situation.

2. Make a table

3. Graph the points

What is: 2s+3p=20

0 Stickers=6.6 pencils

1 Sticker= 6 pencils

2 stickers = 5.33 pencils

3 stickers= 4.66 pencils

500

Select the expression that is equivalent to 

6 - 2(x + 1).


A. 4(x + 1) 

B. 7 - 2x 

C. 4 - 2x 

D. 4x + 4

What is: C. 4-2x

500
-5 + 10b = -75
What is b=-7?
500

5(k-4) = 4- 3k

What is k = 3?

500

Solve for x:  4x + 2y - 3z = 12

What is: x = (12-2y-3z)/4

500

 A teacher spent $21 on packs of stickers and packs of pencils for her class.

• Stickers,s, cost $1.50 per pack. 

• Pencils,p, cost $3.50 per pack. 

Write an equation, solve for p, then make a table, and graph.

What is 1.50s +3.50p = 21 and p=(21-1.50s)/3.50

0 stickers = 6 pencils

1 sticker= 5.58 pencils

2 stickers= 5.14 pencils

3 stickers= 4.71 pencils