Two-Step Equation Word Problems

Timothy spent a total of $68 at Macys. His purchases included a pair of jeans at $32 and 2 t-shirts at $x each

• 2x - 32 = 68

• 2x + 32 = -68

• 2x + 32 = 68

• 2x + 68 = 32

A customer at a Mexican diner placed an order for 3 buritto bowls which was priced at $x each. He also ordered a plate of corn tacos at $12.96 and was billed for a total of $32.46.

• 3x + 12.96 = 32.46

• 2x + 12.96 = 32.46

• 2x – 32.46 = 12.96

• 3x – 12.96 = 32.46

Mr. Hewitt estimates the cost towards a fresh paint job for the exteriors of his home. He makes a provision for 12 gallons of paint priced at $x per gallon. The cost of paint supplies and miscellaneous expenses are $2264. The total estimated cost for the paint job is $2624.

• 12x – 2264 = 2624

• 12x + 2264 = 2624

• 12x + 2624 = 2264

• 12x + 2624 = –2264

Mike owns a website which has subscription worth $807.43. He charges $x as subscription fee. A customer cancels his subscription and Mike refunds the amount. Mike has a subscription fee worth $659.86 now.

• 659.86 – x = 807.43

• 807.43x + 147.57 = 699.86

• 807.43 – x = 659.86

• 699.86x + 147.57 = 807.43

Polly is planning a cruise to the Bahamas. She has $25 on January 1st and saves $x every week for 40 weeks straight. She has now saved up a total of $825.

• 25x + 40 = 825

• 40x – 25 = 825

• 825 + 40x = 25

• 25 + 40x = 825

8 groups of students from Dominic’s school were dropped to an exhibition by school buses accompanied by 6 teachers. There are x students in each group. A total of 294 Dominicans visited the exhibition.

• 8x + 6 = 294

• 8x + 294 = 6

• 8x – 6 = 294

Sam decides to run a few errands in the neighborhood as he wants to save up money to buy a video game that is priced at $59.88. He mows the community lawn for x hours for which he earns $10 per hour. He also cleans the community pool and gets $25.56 for the job done.

• 25.56x – 10 = 59.88

• 25.56 + 10x = 59.88

• 10x – 25.56 = 59.88

• 59.88 + 10x = 25.56

The balance in Jamie’s checking account in the month of June was thrice the amount of what it was in the month of May. He swiped his card for $70 in the restaurant which caused his account to be overdrawn by $9.

• 3x + 70 = 9

• 3x – 70 = 9

• 3x + 70 = –9

• 3x – 70 = –9

Marion and her sister Elaine are saving up to buy a DSLR camera. Marion has saved up $299.99 in her account. Elaine sets aside her weekly allowance over a five week period to buy the camera that costs $799.99. Calculate Elaine’s weekly allowance.

• 299.99 + 5x = 799.99

• 5x - 299.99 = 799.99

• 299.99 + 799.99 = 5x

• 799.99 - 5x = 299.99

Jonas, his wife and their 3 children made a trip to the Indiana state fair. Jonas spent $16 on entry tickets for adults. If he paid $23.50 for the entry tickets in total, how much did the entry fee for each child cost?

• 16 + 3x = 23.5

• 3x - 16 = 23.5