Two-Step Equations
x + 7 = 15
x = 8
Alex wants to buy a national jersey that costs $85. He has $25 saved and earns $12 an hour refereeing youth games. How many hours, h, must he work to afford the jersey?
h=5
2(x + 3)=10
x=2
A coach buys 9 jerseys. Each jersey costs x dollars, plus each has a $4 logo fee. If the total is $108, how much did each jersey cost?
Answer: x = 8
Does x = 5 solve the equation?
2x + 3 = 13
Yes
2x = 18
x = 9
You go to the mall with $50. You buy a hat for $14 and 3 shirts that cost the same amount. You have no money left. How much was each shirt,s?
s=12
3(x − 4)=21
x=11
A collector buys 6 posters. Each costs p dollars, but he has a $5 discount on each. Total is $30. How much was each poster?
p = 10
Does x = 4 solve the equation?
3x − 2 = 14
No
3x − 5 = 16
x = 7
The school record for goals in a season is 35. Isaiah has 11 goals already and expects to score 3 goals per game, g, for the rest of the season to break the record. How many games does he need?
g=8
−2(x + 6)=30
x=9
Each piñata costs p dollars, plus each needs $10 for candy filling. The total is $80, how much was each piñata?
p=30
Does x = 2 solve the equation?
4(x + 1) = 12
Yes
x/4+6=10
x = 16
For a birthday party, a family buys a piñata for $25 and 3 bags of candy. The total spent was $52. How much did each bag of candy, c, cost?
c=9
4(x − 3) + 2=46
x=14
You buy 5 shirts. Each is t, but you get $3 off each shirt for a sale. You pay $35. What was the original price of each shirt?
t = 10
Does x = −1 solve the equation?
2x + 7 = 5
Yes
What is the first step to solve:
5x + 9 = 34
Subtract 9
A family is making tamales. They already finished 24 tamales and can make 12 more every hour. How many hours, h, will it take to reach their goal of 84 tamales?
h=5
5(x + 7) − 3=62
x=6
A team buys 3 bats. Each bat costs b dollars, but each has a discount of $10. The total spent is $120. What was the original cost of the bat?
b=50
Does x = 3 solve the equation?
2(x + 5) − 4 = 9
No