Solving Real-World Systems of Equations: Grade 8 Challenge

Solving Real-World Systems of Equations: Grade 8 Challenge

8th Grade

10 Qs

quiz-placeholder

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Solving Real-World Systems of Equations: Grade 8 Challenge

Solving Real-World Systems of Equations: Grade 8 Challenge

Assessment

Quiz

English

8th Grade

Hard

Created by

Anthony Clark

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car travels 60 miles in 1 hour and 90 miles in 1.5 hours. How can you express the distance traveled as a system of equations?

x = 90, t = 1 for the first scenario; x = 60, t = 2 for the second scenario.

x = 60, t = 0.5 for the first scenario; x = 90, t = 1 for the second scenario.

x = 30, t = 1 for the first scenario; x = 90, t = 1 for the second scenario.

x = 60, t = 1 for the first scenario; x = 60, t = 1.5 for the second scenario.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two types of juice are mixed: one is 30% orange juice and the other is 70% orange juice. If you mix 3 liters of the first with x liters of the second to get a 50% orange juice mixture, what is x?

3

1

10

5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A train leaves a station traveling at 80 miles per hour. Another train leaves the same station 30 minutes later traveling at 100 miles per hour. How far from the station will they meet?

15 miles

30 miles

40 miles

22.22 miles

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A store sells two types of shirts: one for $20 and another for $30. If a customer buys a total of 5 shirts for $120, how many of each type did they buy?

4 shirts for $20 and 1 shirt for $30

3 shirts for $20 and 2 shirts for $30

1 shirt for $20 and 4 shirts for $30

2 shirts for $20 and 3 shirts for $30

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A recipe requires a mixture of two types of flour: one is $2 per pound and the other is $3 per pound. If you need 10 pounds of flour for a total cost of $24, how many pounds of each type do you need?

6 pounds of $2 flour and 4 pounds of $3 flour

7 pounds of $2 flour and 3 pounds of $3 flour

8 pounds of $2 flour and 2 pounds of $3 flour

5 pounds of $2 flour and 5 pounds of $3 flour

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A cyclist travels 15 miles at a speed of 10 miles per hour and then 25 miles at a speed of 15 miles per hour. How long did the entire trip take?

3 hours

4 hours

3.1667 hours

2.5 hours

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two friends are saving money to buy a video game. One saves $5 per week and the other saves $7 per week. If they want to save a total of $50 together, how many weeks will it take?

5 weeks

8 weeks

6 weeks

4 weeks

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