Systems of Equations Word Problems

Erica has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Erica to save money for a new jacket? Use w as the number of weeks.

• 5 + 14w = 64

• 14 + 5w = 64

• 19w = 64

• 5w - 14 = 64

Tags

CCSS.7.EE.B.4A

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation? Use x as the number of haircuts; use y as the number of hair dyes.

• 3x + 2y = 315

  2x + 4y = 450

• 3x + 2y = 450

  2x + 4y = 315

• 2x + 2y = 315

  3x + 4y = 450

Tags

CCSS.8.EE.C.8C

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Which equation shows how much the YOUNGER brother spent using x as the shirt price and y as the shorts price.

• 13x + 14y = 175

• 7x + 7y = 175

• 6x + 7y = 165

• 7x + 7y = 165

Tags

CCSS.HSA.CED.A.3

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Which equation shows how much the OLDER brother spent using x as the shirt price and y as the shorts price.

• 13x + 14y = 175

• 7x + 7y = 175

• 6x + 7y = 165

• 7x + 7y = 165

Tags

CCSS.HSA.CED.A.3

7x + 7y = 175

6x + 7y = 165

x is the price for a shirt; y is the price for shorts

How much did one shirt cost?

• $5

• $10

• $15

• $20

Tags

CCSS.8.EE.C.8C

7x + 7y = 175

6x + 7y = 165

x is the price for a shirt; y is the price for shorts

How much did one pair of shorts cost?

• $5

• $10

• $15

• $20

Tags

CCSS.8.EE.C.8C

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Tags

CCSS.8.EE.C.8A

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has? Use d to represent the number of donkeys. Use c to represent the number of chickens.

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50

Tags

CCSS.8.EE.C.8C

In a pasture, there are horses and chickens. If there are a total of 28 animals total and 80 legs total. Use H for the number of horses and C for the number of chickens. Which equation shows how many legs you can count?

• 12H + 16C = 80

• 4H + 2C = 80

• H + C = 28

• 8H + 20C = 28

Tags

CCSS.8.EE.C.8C

In a pasture, there are horses and chickens. If there are a total of 28 animals total and 80 legs total. Use H for the number of horses and C for the number of chickens. Which equation shows how many animals are in the pasture?

• 12H + 16C = 80

• 4H + 2C = 80

• H + C = 28

• 8H + 20C = 28

Tags

CCSS.8.EE.C.8C