1.2: Creating and Solving Equations

Your four-month bill for the gym comes to $221. That includes the cost per month of $50 plus the one-time membership fee. How much is the membership fee?

• $21

• $171

• $4.42

• $15.50

Tags

CCSS.7.EE.B.4A

Derrick started up a charity for the local animal shelters. He started selling handmade dog leashes for $5. It cost him $120 to get the supplies to make the leashes. Write an equation for the amount of money he raises, A, if he sells x amount of leashes.

• A = 120 + 5x

• A = 120x + 5

• A = -120 + 5x

• A = 120 - 5x

Tags

CCSS.HSF-BF.A.1A

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.
• A plumber charges $25 for a house call and $120 per hour.
• A teacher has 120 students. Her third period has 25 students
• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

Which equation matches the situation?

• 2x + 4y = 100

• 100 + 2y = 4y

• x + y = 100

• y = 2x + 100

Tags

CCSS.HSA.CED.A.3

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Tags

CCSS.HSF-BF.A.1A

Solve the linear equation.

9x - 9 = 5x + 19

• x = 5

• x = -7

• x = 2

• x = 7

Solve the linear equation.

5z + 2 = 6

• z = 8

• z = -8

• z = 4 / 5

• z = 5 / 4

Tags

CCSS.7.EE.B.4A

Solve the linear equation.

2x - 3 ( x + 4 ) = -5

• x = -17

• x = -7

• x = 7

• x = 17

Tags

CCSS.8.EE.C.7B

A math worksheet took Jeremy 1 hour and 15 minutes to complete. Each numerical problem took three minutes to complete and each word problem took five minutes to complete.
If there were 10 numerical problems on the worksheet, how many word problems were there?

• 9
• 6
• 7
• 8

Tags

CCSS.4.MD.A.2