Create Equations With Two Variables 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

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

• 54

• 45

• 56

• 65

The larger number is 18 more than twice the smaller. If the sum of the two numbers is 93, find

both numbers.

The larger of two numbers is seven less than three times the smaller number. If the sum of

the numbers is 61, find the numbers.

The larger of two numbers is two more than five times the smaller number. If the sum of the two

numbers is 80, find both numbers.

WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?

• x/2 + 16= 36

• 36 + 16 = x

• x/2 - 16 = 36

• x/2 = 36 + 16

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

• 12 + 14x = 50

• 12x + 14 = 50

• 50 - 14 - 12 = x

• 50x + 12 = 14

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.

• y = 8.5 + 25.5

• y = 8.5x + 25.5

• y = 8.5 + 25.5x

• y = 8.5x + 25.5x