Graphing Systems of Equations: Costs & Comparisons

Graphing Systems of Equations: Costs & Comparisons

8th Grade

8 Qs

quiz-placeholder

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Graphing Systems of Equations: Costs & Comparisons

Graphing Systems of Equations: Costs & Comparisons

Assessment

Quiz

English, Mathematics

8th Grade

Hard

CCSS
8.EE.C.8C, 8.EE.B.6

Standards-aligned

Created by

Anthony Clark

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation in slope-intercept form and determine how many miles you can drive if your total cost is $50. Interpret the solution graphically.

50 miles

100 miles

120 miles

75 miles

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two friends, Alex and Jamie, are selling lemonade. Alex sells lemonade for $2 per cup, while Jamie sells it for $3 per cup. Write the equations for their sales and find the point where their sales are equal. What does this point represent graphically?

The point where their sales are equal is (0, 0).

The point where their sales are equal is (1, 2).

The point where their sales are equal is (3, 5).

The point where their sales are equal is (2, 3).

Tags

CCSS.8.EE.C.8C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is planning a field trip. The cost per student is $15 for transportation and $5 for lunch. Write the equation for the total cost in slope-intercept form. If the total cost is $200, how many students are going?

10 students

20 students

15 students

5 students

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two lines are represented by the equations y = 2x + 3 and y = -0.5x + 1. Are these lines parallel, perpendicular, or neither? Explain your reasoning using their slopes.

coincident

parallel

intersecting

perpendicular

Tags

CCSS.8.EE.B.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer has two types of crops. He sells corn for $4 per bushel and wheat for $3 per bushel. If he sells a total of 100 bushels for $360, write a system of equations to represent this situation and find the number of bushels of each crop sold. Interpret the solution graphically.

80 bushels of corn and 20 bushels of wheat

50 bushels of corn and 50 bushels of wheat

70 bushels of corn and 30 bushels of wheat

60 bushels of corn and 40 bushels of wheat

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two lines are given by the equations y = 3x + 2 and y = 3x - 4. Are these lines parallel, perpendicular, or neither? Justify your answer by analyzing their slopes.

The lines are perpendicular.

The lines intersect at one point.

The lines have different slopes.

The lines are parallel.

Tags

CCSS.8.EE.B.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer buys a total of 10 books for $160, write a system of equations to find out how many of each type of book was purchased. How would you graph this situation?

5 novels and 5 textbooks

3 novels and 7 textbooks

6 novels and 4 textbooks

4 novels and 6 textbooks

Tags

CCSS.8.EE.C.8C

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A concert venue has two pricing models: one charges $50 per ticket and the other charges $30 plus a $20 service fee. Write the equations for both models and find the point where the total costs are equal. What does this point signify in the context of the problem?

1 ticket sold

2 tickets sold

$30 per ticket

$50 service fee

Tags

CCSS.8.EE.C.8C