Linear Equation Word Problems

Rate of change is also known as

• Slope

• y-intercept

• x-intercept

• initial value

Tags

CCSS.HSF-LE.A.1B

Y-intercept is also known as

• Slope

• rate of change

• x-intercept

• initial value

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.
• A plumber charges $25 for a house call and $120 per hour.
• A teacher has 120 students. Her third period has 25 students
• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Tags

CCSS.HSF.LE.B.5

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.HSF-BF.A.1A

Bob has $150 in his savings account and saves $40 per month.

• y=150 + 40

• y=40x + 150

• y=150x + 40

Tags

CCSS.6.EE.C.9

If Dexter pays $8.90 for his hamburger, how many toppings did he get?

• 3
• 4
• 5
• 6

Tags

CCSS.HSF.IF.A.2

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.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

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 (x) it will take for the temperature to drop to 65℉?

• 73 - 2x = y

• 73 - 65 = 2x

• 65 - 2x = y

• 2x - 73 = y

Tags

CCSS.HSF-BF.A.1A

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