Writing Two-Step Equations

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

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

Mr Carrillo's family bought lunch from Culvers. They also bought some sodas from Quick Trip for $5.00. The meals cost $6.00 each. The total cost of the lunch and soda was $41.00. Let x represent the cost of the number of meals that Mr. Carrillo bought. Write the equation and solve for x.

• -5+6x = 41, 4 meals

• 6x + 5 = 41, 6 meals

• 6x = 36 meals

• 5 + 6x = 41, 7 meals

Tags

CCSS.7.EE.B.4A

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

Tags

CCSS.7.EE.B.4A

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

• 331=7x+6
• 331=13x
• 331=6x+7
• 331-7=6x

Tags

CCSS.HSA.CED.A.3

Michelle is a server in a restaurant. On a weekend night, Michelle earned $4 an hour and $65 in tips. She made a total of $93. Choose the equation to find how many hours she worked

• 4h + 93 = 65

• 4h + 65 = 93

• 7h + 65 = 93

Tags

CCSS.HSA.CED.A.3

A school is taking a trip to a museum. The fee for the bus is $85 and the museum charges a fee of $12 per student. The school paid a total of $613. Choose the equation to find out how many students went on the trip.

• 12s+ 85 = 613

• 85s + 12 = 613

• 85 - 12s = 613

Tags

CCSS.HSA.CED.A.3

The 30 members of a choir are trying to raise $1500 to cover travel costs to a signing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?

• 30x + 600 = 1500
• 30x - 600 = 1500
• x + 600 = 1500
• 30x = 1500

Tags

CCSS.HSA.CED.A.3

The number of quarters in John’s collection is 10 more than 5 times the number of nickels in his collection.  John has 65 quarters in his collection.  Which equation can be used to determine the number of nickels in John’s collection?

• 65 = 10 - 5x
• 65 = 5x + 10
• 65 = 5x - 10
• 65 = 5 + 10x

Tags

CCSS.HSA.CED.A.3