Equations and Inequalities word problems

Equations and Inequalities word problems

8th Grade

12 Qs

quiz-placeholder

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Equations and Inequalities word problems

Equations and Inequalities word problems

Assessment

Quiz

Mathematics

8th Grade

Hard

Created by

Susan Delacroix

Used 9+ times

FREE Resource

12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Two 8th grade classes are selling raffle tickets to raise money.

  • One class is selling tickets for $2.50 each and has already raised $350.
  • The other class is selling tickets for $3 each and has already raised $225.

Which equations can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

3t + 350 = 2.50t +225

350t + 2.50 = 225t + 3

2.50t + 350 = 3t + 225

Not here

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

At a store each notebook has a cost of x dollars. Which situation can be represented by the inequality?

5x < 3x + 2

The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.

The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon.

The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.

The cost of 5 notebooks is $2 greater than the price of 3 notebooks.

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Aquarium I contains 4.6 gallons of water. Louise begin filling Aquarium I at a rate of 1.2 gallons per minute.

Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallon per minute.

After how many minutes will both aquariums contain the same amount of water?

148 minutes

125 minutes

25 minutes

50 minutes

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which situation can be represented by this equation?

340 + 5x = 650 - 8x

Sierra has a bucket that originally contained 340 oz of water and is being filled at a rate of 5 oz per minute. Brain has a bucket that originally contained 650 oz of water and is being drained at a rate of 8 oz per minute. What is x, the number of minutes that need to pass in order for the 2 buckets to contain the same amount of water?

Sierra started with savings of $340 and spends $8 every week. Brian started with savings of $650 and adds $5 every week. What is x, the number of weeks that need to pass for them to have the same amount of savings?

Sierra started with 340 cans for a food drive. She collects 5 more cans every day. Brain started with 650 cans for the food drive and collects 8 more cans every day. What is x, the number of days before they will have the same number of cans?

Sierra earns 345 points on each level of video game. Briain earns 642 points on each level of the same game. What is x, the number of levels they have to play before they will have an equal number of points?

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Renting video games from Store S costs $2.50 per game plus a monthly fee of $5. Renting videos games from Store T costs $5 per game with not monthly fee. If v represents the number of video games rented, which inequality represents the when the monthly cost at Store S is less than the monthly cost at Store T?

2.5v + 5 < 5v

2.5v + 5 > 5v

7.5v < 5v

7.5v > 5v

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

18

5

15

8

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Helen had $330 in her savings account when Vince opened a savings account with zero dollars.

  • Helen deposited $30 into her account each week for x weeks.
  • Vince deposited $50 into his account each week for x weeks.
  • The accounts did not earn interest.

Which inequality represents this situation when the amount of money in Helen's account was greater than the amount of money in Vince's account?

30x < 330 + 50x

50x > 330 + 30x

30x > 330 + 50x

50x < 330 + 30x

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