Linear Equation Word Problems

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.HSA.REI.D.10

CCSS.HSS.ID.C.7

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.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20
• y = 3 + 20x
• y = -3x + 20
• y = -20x + 3

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.HSS.ID.C.7

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

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $102.00 The cost for 8 tickets is $150. What are the two points that we could use to find a linear equation for cost, C, of t tickets?

•  $\left(5,8\right)\ \&\ \left(102,\ 150\right)$ 

•  $\left(8,5\right)\ \&\ \left(150,102\right)$ 

•  $\left(5,102\right)\ \&\ \left(8,150\right)$ 

•  $\left(102,5\right)\ \&\ \left(150,8\right)$ 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $102.00 The cost for 8 tickets is $150. Which linear equations represents the cost, C, of t tickets?

• $C=5t+102$

• $C=8t+150$

• $C=.0625t+145.5$

• $C=16t+22$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

A garbage pickup service charges a flat weekly rate plus an amount per pound of garbage collected. If Jayden has 30 pounds of garbage and is charged $13 and Shay has 50 pounds of garbage and is charged $19, How much will Haeley have to pay for her 23 pounds of garbage?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

What is your favorite kind of ice cream?