Linear Equations Word Problems

An electrician charges $90 per hour plus a $50 travelling fee. Which equation represents the total cost of a repair by an electrician after x hours?

• y = 50 - 90x

• y = 90x + 50

• y = -50x + 90

• y = -90 - 50x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

• C = 5h + 3

• C = 3h + 5

• h = 5C + 3

• h = 3C + 5

Tags

CCSS.HSF-BF.A.1A

A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.

What is a point-slope equation for the climber?

• y - 700 = 200(x - 6)

• y - 6 = 75(x - 700)

• y - 700 = 300(x - 6)

• y - 700 = 75(x - 6)

After 10 minutes, there was 80 gallons of water left in the pool. After 20 minutes, there was 60 gallons of water left.

Write an equation in point-slope form.

• y + 80 = -2(x + 10)

• y - 80 = -20(x - 10)

• y - 80 = -2(x - 10)

• y - 80 = -20(x - 10)

At a different newspaper, the cost to place an ad for one week are shown. An ad with 3 lines costs $12.75, and an ad with 5 lines costs $17.25.

Write an equation in point-slope form.

• y - 12.75 = 4.5(x - 3)

• y - 3 = 4.5(x - 12.75)

• y - 12.75 = 2.25(x - 3)

• y - 3 = 2.25(x - 12.75)

A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlestick is 13.4 inches tall.

Write an equation in point-slope form to find the original height of the candle.

• y + 13.4 = 0.2(x + 8)

• y - 8 = 0.2(x - 13.4)

• y - 13.4 = 0.2(x - 8)

• y - 13.4 = 8(x - 0.2)

To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694.

Write an equation in point-slope form.

• y + 2694 = 199(x + 6)

• y - 2694 = 6(x - 199)

• y - 2694 = 199(x - 6)

• y - 6 = 199(x - 2694)

Faith was working admissions to the basketball game is $5 for students (x) and $7 for adults (y). If the faith made $500 dollars at the game on ticket sales, write an equation that represents this scenario.

• 7x+5y=500

• y=7x+500

• 5x+7y=500

• y=500x+7

Tags

CCSS.HSA.CED.A.3

Dalyn is selling girl scout cookies. She sold 7 boxes of thin mints (x) and 12 boxes of tagalongs (y). If she made $82 selling cookies, write an equation that represents the scenario.

• 7x+12y=82

• 12x+7y=82

• 7x+82y=7

• y=7x+82

Tags

CCSS.HSA.CED.A.3