Equations with Variables on Both Sides Word Problems

After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?

• n + $5.12 = $27.10

• n - $5.12 = $27.10

• n - $5.12 = -$27.10

• $5.12 - n = $27.10

In this soccer season, Emma has scored 1 more than twice the number of Nick's goals.  If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?

• x - 15 = 1

• x + 1 = 15

• 2x + 1 = 15

• x + 1 = x + 15

Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?

• 29 - n = 41

• 29 - n = 40

• 29 + n = 41

• 29 + n = 40

Look at the work. What SHOULD have been the first step?

• It's correct!

• Subtract 1 on both sides

• Add 5 on both sides

• Divide by 3 on both sides

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 120 miles

• 100 miles

• 110 miles

• 150 miles 

• F

• G

• H

• J

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. In how many years would Mary's salary be the same at both companies. What would that salary be?

• 8 years; $46500

• 7 years; $45600

• 8 years; $45600 

• 7 years; $46500 

WRITE AN EQUATION
Lilli spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

• -x/2 + 4 = 12

• x/2 - 4 = 12

• 12 - 4 = x

• 12 - 4 = -x/2

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112? 

• 14h = 112

• 14 / h = 112

• h + 14 = 112

• h - 14 = 112

Daniel is paid $10 per week for selling newspaper subscriptions.  He is also paid $3.50 for each new customer (x) that signs up for the subscription.  Which equation represents the amount (y) Daniel earns  per week?

• y = 3.5x

• y= 10 + x

• y = 10 + 35x

• y = 10 + 3.5x