Linear Word Problems

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours
• 4 hours
• 1 hour
• 2 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Which situation below is representative of y-intercept?

• putting $300 a month into savings
• buying $30 worth of supplies for a lemonade stand
• Spending $3 per ride at the fair
• Paying $2 for parking every day

Tags

CCSS.HSF-IF.C.7A

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

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.HSF-IF.C.7A

The drama club sold tickets to a play for $5 each.  They also made $55 in soda and popcorn sales.  If the drama club made a total of $290, how many tickets were sold?

• 47
• 58
• 69
• 113

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes.  Andrea made 10 sales last Saturday and earned a total of $80.  How much does Andrea earn for each sale she makes?

• $6
• $8
• $10
• $12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

• y=1.5+20x

• y=1.5x + 20

• y = 20x + 1.5

• y= 21.5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

• 35

• 21.5

• 30

• 30.50

Tags

CCSS.HSF.LE.B.5

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. If you spend $23, how many rides did you ride?

• 2

• 1

• 3

• 54.50

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1