Solving Linear Equations Word Problems

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.

• y = 2x + 6
• y = 6x + 2
• y = 2x - 6
• y = 6x - 2

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. 

• y = x(35 + 0.75)
• y = 35x + 0.75
• y = 0.75x + 35
• y = 0.75(x + 35)

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

Bob has $150 in his savings account and saves $40 per month.

• y = 150 + 40
• y = 40x + 150
• y = 150x + 40

Write an expression for the following. Jerry has $20 and makes $7 per hour.

• y = 7x + 20
• y = 7 + 20x
• y = 20 + 7
• y = 20x + 7x

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

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the rate of change?

• $100
• $35
• $135
• $65

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the slope?

• $100
• $35
• $135
• $65

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

If one restaurant pays their employees $20 every night and an additional $3 per table they serve, and another restaurant pays their employees $28 every night with an additional $2 per table they serve, determine how many tables you must serve at each restaurant in order to receive the SAME amount of pay.

• 8 tables
• 12 tables
• About 10 tables