8th Grade Linear Word Problems: Identify Variables & Equations

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items for $6.00, write an equation in standard form to represent the situation. Identify the variables.

• 50x + 75y = 600, x + y = 10

• 50x + 75y = 600, x + y = 5

• 50x + 75y = 500, x + y = 15

• 25x + 50y = 300, x + y = 10

Tags

CCSS.8.EE.C.8C

Maria has twice as many dimes as nickels. If the total value of her coins is $3.00, write an equation in standard form to express this relationship. Identify the variables.

• -15n + 225 = 0

• -20n + 150 = 0

• -25n + 300 = 0

• -30n + 450 = 0

John is saving money to buy a video game that costs $60. He saves $5 each week. Write an equation in standard form to represent the number of weeks it will take him to save enough money. Identify the variables.

• 5w - 60 = 0

• 5w + 60 = 0

• 10w - 60 = 0

• 5w - 30 = 0

Tags

CCSS.7.EE.B.4A

A gardener is planting flowers in two types of pots. The small pots hold 3 flowers each, and the large pots hold 5 flowers each. If he wants to plant a total of 30 flowers using 8 pots, write an equation in standard form. Identify the variables.

• 5x + 2y = 30, x + y = 9

• 4x + 3y = 30, x + y = 6

• 3x + 5y = 30, x + y = 8

• 2x + 4y = 30, x + y = 10

Tags

CCSS.8.EE.C.8C

A school is organizing a field trip. The cost per student is $15, and there is a fixed cost of $200 for the bus. If the total cost for 40 students is $800, write an equation in standard form to represent this situation. Identify the variables.

• 20x + 200 = C

• 15x + 200 = C

• 15x + 100 = C

• 10x + 200 = C

Lisa is making gift bags for a party. Each bag contains 4 candies and 2 toys. If she wants to make 12 bags, write an equation in standard form to find the total number of candies and toys needed. Identify the variables.

• C + T = 24 + 6 = 30

• C + T = 36 + 18 = 54

• C + T = 72 + 24 = 96

• C + T = 48 + 12 = 60

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 15 items for $100, write an equation in standard form to represent the situation. Identify the variables.

• x + y = 10 and 12x + 5y = 80

• x + y = 20 and 10x + 5y = 100

• x + y = 15 and 15x + 4y = 100

• x + y = 15 and 12x + 5y = 100

Tags

CCSS.8.EE.C.8C

A farmer has chickens and cows. If he has a total of 50 animals and 140 legs, write an equation in standard form to represent the number of chickens and cows. Identify the variables.

• x + y = 60; 2x + 3y = 140

• x + y = 40; 2x + 4y = 120

• x + y = 50; 3x + 4y = 140

• x + y = 50; 2x + 4y = 140

Tags

CCSS.8.EE.C.8C