Linear Equation Word Problems SAT

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write an equation in standard form to describe the situation.

• 40y+100x=1600

• 100x+40y=1600

• 40x+100y+1600

• 100y+40x=1600

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write a linear equation to describe this scenario.

• y=0.04x+15

• y=-0.04x+15

• y=0.4x+15

• y=-0.4x+15

A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus?

• 120

• 220

• 180

• 30

Tags

CCSS.8.EE.C.7B

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. What is the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation that models this situation.

• y = 20x + 5

• y = 5x + 20

• y= -5x + 20

• y = 5x - 20

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Toby is buying pet supplies for his dog. He purchases 3 bags of treats and x bags of dog food. The treats were on sale for $4.50 each. The bags of food were $26 each. Which equation can be used to determine the total amount of money Toby spent on supplies for his dog.

• y = 13.50 + 26x

• y = 3x + 30.50

• y = 4.50 + 26x

Tags

CCSS.6.EE.C.9

Which situation can be represented by the equation y = 8x + 42.5

• Emily plans to take art classes to learn how to paint. She spends $42.50 on supplies at Hobby Lobby and $8.00 on supplies at Michaels. What is y, the total amount spent after buying x supplies?

• Ari has $42.50 in her bank account. She spends $8.00 on Christmas gifts for each of her AVID mentees. How much total money, y, does Ari have in her account after buying x, gifts?

• Christine buys some movie tickets for $8.00 each. Then she spends $42.50 on snacks at the concession stand. What is y, the total amount spent after buying, x, tickets?

• Stephen is a baker and sells birthday cakes. He spends $42.50 on ingredients, then charges $8.00 per cake. What is y, the total amount earned after selling x, cakes?

Tags

CCSS.HSF.LE.B.5

Each month, Olin’s cell phone plan costs $34.99, plus $12.95 per GB of data that he uses. His bill this month was $60.89. Which equation can be used to find the amount of data (d) Olin used this month?

• 34.99d +12.95 = 60.89

• 34.99 + d = 60.89

• 34.99 - 12.95d = 60.89

• 34.99 + 12.95d = 60.89

Tags

CCSS.7.EE.B.4A

The temperature where Cally lives is 73℉ and is falling 2℉ per hour. Which of the following equations can be used to determine how many hours (h) it will take for the temperature to drop to 65℉?

• 73 - 2h = 65

• 73 - 65 = 2h

• 65 - 2h = 63

• 2h - 73 = 65

Tags

CCSS.7.EE.B.4A

Haylee is on page 219 of her library book. She reads at a pace of 1.5 pages per minute. Which of the following equations could be used to determine the total pages read (y) after a given number of minutes (x)?

• y = 219x + 1.5

• 219 = y +1.5x

• y = 1.5x +219

• y = 220.5x

Tags

CCSS.6.EE.C.9