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Solving Systems: Parallel Lines and Equations Challenge

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Solving Systems: Parallel Lines and Equations Challenge
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bakery sells cookies and muffins. The cost of 3 cookies and 2 muffins is $5, while the cost of 4 cookies and 3 muffins is $7. How much does one cookie (x) cost?

$3.50

$2

$0.50

1

Tags

CCSS.8.EE.C.8C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two friends are jogging on parallel paths. One jogger runs at a speed of 4 mph, and the other runs at 6 mph. If they start at the same time, how far apart will they be after 2 hours?

2 miles

8 miles

10 miles

4 miles

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. Another company charges a flat fee of $15 plus $0.75 per mile. How many miles (x) must you drive for both companies to charge the same amount?

15

20

25

30

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is planning a field trip. The cost for 5 students and 2 adults is $60, while the cost for 3 students and 4 adults is $70. How much does one adult (y) cost?

15

25

20

30

Tags

CCSS.8.EE.C.8C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer has two types of crops: corn and wheat. He sells corn for $3 per bushel and wheat for $2 per bushel. If he sells a total of 10 bushels for $24, how many bushels of corn (x) did he sell?

4

2

6

8

Tags

CCSS.7.EE.B.4A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two lines are represented by the equations y = 2x + 3 and y = 2x - 1. Are these lines parallel, and if so, what does that mean for their intersection points?

No, the lines are not parallel and intersect at two points.

Yes, the lines are parallel and intersect at every point.

Yes, the lines are parallel and intersect at one point.

Yes, the lines are parallel and do not intersect.

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A concert hall has two types of tickets: regular tickets for $50 and VIP tickets for $100. If the total revenue from selling 30 tickets is $2500, how many regular tickets (x) were sold?

10

15

20

5

Tags

CCSS.7.EE.B.4A

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