Writing Linear Equations from Word Problems

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Tags

CCSS.HSA.CED.A.3

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

• 12.5x +9 = 43.73

• 73.43 = 12.5x + 9

• 12.5 - 9x = 43.73

• 43.73 = 12.5 + 9x

Tags

CCSS.HSA.CED.A.3

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

• 3 + 2x

• 3x + 2

• 3x + 2x

• 5x

Tags

CCSS.HSA-SSE.A.1A

What could this represent? 7x + 2 = 30

• Buying pet turtles for $7 each plus two cans of turtle food cost $30.

• Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

• Two yoyos plus seven frisbees is thirty cents.

• Buying seven calculators plus $2 per bundle of pencils is $30.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

• 35x + 7 = 63

• 7x = 63

• 7x - 35 = 63

• 7x + 35 = 63

Tags

CCSS.HSA.CED.A.3

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

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

• y = 20x + 5
• y = 5x +20

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

• y=150 + 40

• y=40x + 150

• y=150x + 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2