Creating Two-Step Equations from Word Problems

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

• h = 2(9) + 15

• 33 = 15h + 2

• h = 15(9) + 2

• 33 = 2h + 15

• amount of money
• number of days

John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. If John and Jane both spent the same amount of money, which equation shows how many cookies, x, they purchased.

• 3x = x + 10

• x = 3x + 10

• 3x + x = 10

• 3x + x + 10 = 0

The difference between 5 times a number and 3 is 12.

• 3h - 5 = 12

• 5h - 12 = 3

• 5h - 3 = 12

• 12h - 3 = 3

Seven more than the quotient of a number and 2 is 10.

• 2/m + 7 = 10

• n/7 + 2 = 10

• n/2 + 7 = 10

• n/2 + 10 = 7

Select the equation that best represents the situation: In a normal day, Skyah spends half as much time watching Nextflix as Jade does. If Skyah watches 120 minutes of Nextflix, how much does Jade watch?

• 2j = 120

Jen wants to buy a new car for $18,500. She pays $2,500 at signing and wants to pay $250 per month. How many months until it is paid off?

• 18,500 + 2,500 = 250x

• 2,500 - 250x = 18,500

• 250x + 2,500 = 18,500

• 2,500 (250)x = 18,500