Writing Word Problems as Linear Equations

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x
• y = 100 + 30x
• y = 100x + 30
• y = 100x - 30

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

1) A plumber charges $25 for a service call plus $50 per hour of service. Write an equation for the given situation.

• y = 50x + 25

• y = 25x + 50

• y - 50 = 1(x - 25)

• 25x + 50y = 75

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

The Joyner’s swimming pool currently has 30 inches of water in it. In the spring, Mr. Joyner will refill the swimming pool by adding water at a rate of 2 inches per hour. Write an equation to represent the given situation.

• y = -2x + 30

• y = 2x + 30

• y - 30 = 2(x - 0)

• -2x + 30y = 28

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

A holiday meal costs $12.50 a person plus a delivery fee of $30.

• y = 30 + 12.5x 
• y = 12.5 + 30
• y = 12.5 + 30x
• y = 30 - 12.5x

Tags

CCSS.6.EE.C.9

Sonia has $40 in her lunch account and pays $2 each day to eat lunch.

• y = 40 + 2x

• y = 40 - 2x

• y = 2 + 40x

• y = 2 - 40x

Tags

CCSS.6.EE.C.9