AnswersWV-Algebra I CRWriting and Solving Equations in Two Variables

Writing and Solving Equations in Two Variables Answers

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The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?

A
x = 8, y = 45
B
x = 10, y = 22
C
x = 16, y = 22
D
x = 18, y = 18
2
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Malik’s solution to the equation , when , is shown below. What error did Malik make first when solving the equation ?

Question illustration
A
Malik did not multiply correctly.
Option A
B
Malik added 240 to each side of the equation.
C
Malik did not multiply correctly.
Option C
D
Malik substituted 60 for y instead of x.
3

What is the value of x in the equation x – y = 30, when y = 15?

Question illustration
A
4
B
8
C
80
D
200
4

Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.Which equation can be used to find the number of times Maria hiked each trail?

A
x + y = 90
B
5x – 10y = 90
C
90 – 10y = 5x
D
90 + 10y = 5x
5

What is the value of m in the equation , when ?

Question illustration
A
20
B
32
C
44
D
48
6

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100. 1.25x + 1.49 = 100What error did Barbara make in writing the equation?

A
Barbara’s equation did not consider the number of bottles of water.
B
Barbara’s equation did not consider the number of bottles of iced tea.
C
Barbara’s equation did not use the correct price for the bottles of iced tea.
D
Barbara's equation did not use the correct total for sales.

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