Two-Step Equations
3x + 7 = 28
x = 7
2x + 6 - 5x = 12
x = -2
Sujan went to the mall and bought a scarf for $4 and some pairs of socks for $2 each. How many pairs of socks did she buy if her total cost was $16
x = 6
Sujan bought 6 pairs of socks.
Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
3000 + 36x = 7500
x = 125
Ryan pays $125 per month.
42 = -3 - 9x
x = -5
4(x + 8) + 10 = 62
x = 5
The NY Jets scored a touchdown and earned 6 points. They also earned 3 points for every field goal they scored. If they scored 15 points in total, how many field goals did they score?
x = 3
They scored 3 field goals.
The length of a rectangle is 8 cm more than 3 times its width. The perimeter of the rectangle is 64 cm. Find the width & length of the rectangle.
x = 6
Width = 6 cm
Length = 3(6) + 8 = 26cm
-70 = 10 + 2x
x = -40
2x - 10 + 3(x + 4) = 72
x = 14
The 7th grade is going on a field trip. 9 students are driving in cars and the rest are going in 3 buses. How many students are on each bus if there are 42 students going on the trip?
x = 11
There are 11 students on each bus.
Marco is 5 years younger than his brother Polo. The sum of their ages is 11. How old is Polo? How old is Marco?
x = 8
Polo is 8 and Marco is 3.
89 = 9 - 5x
x = -16
5x + 8 - 3x + 19 = 13
x = -7
Marnie doubles the amount of money in her bank account and then withdraws (takes out) $10. Now she has $90 in her account. How much did she have in her account at the start?
x = 50
Marnie had $50 in her account at the start.
Kami and her older brother, Leo went trick-or-treating. Kami got 3 times as much candy as Leo, and found 5 extra pieces of candy in his pocket. Altogether they have 53 pieces of candy. How much candy did Kami get? How much did Leo get?
x = 12
Kami got 12 pieces of candy and Leo got 41.
3 = 7 - 2x
x = 2
58 = 5(x + 2) - 2(x - 6)
x = 12
Bryan is baking pastries for his class. He first gave 2 to his teachers as a gift and then split the rest amongst his 18 classmates. How many pastries did he bake if each classmate received 1 pastry?
x = 20
He baked 20 pastries
x = 8
Lisa is 8, Bart is 10, and Maggie is 4.