Linear Word Problems and Regression

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

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

Tags

CCSS.5.OA.B.3

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

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

Tags

CCSS.6.EE.C.9

Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. 
What will the height of the plant be after 20 days? 

• 25
• 30
• 35
• 40

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

Tags

CCSS.6.EE.C.9

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

Tags

CCSS.HSF-BF.A.1A

 At a school play, children’s tickets cost $3 each and adult tickets cost $7 each. The total amount of money earned from ticket sales equals $210. Write a linear model that relates the number of children’s tickets sold to the number of adult tickets sold. Let x = the number of children’s tickets sold and y = the number of adult tickets sold

• y=10x+210
• 7x+3y=210
• y=7x+210
• 3x+7y=210

Tags

CCSS.8.EE.C.8C

Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?

• 350
• 50
• -50
• -350

Tags

CCSS.8.EE.B.5

DeShawn's Bikes rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours did she rent the bike?

• 5
• 8
• 51
• 11

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50. 

• Slope-intercept
• Standard form

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
The price of a large cheese pizza is $5.95 plus an additional $0.75 per topping. 

• slope-intercept
• standard form

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2