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Writing and Solving Equations in Two Variables Answers

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Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?

A
1280 plus 16 p equals 32 q
Option A
B
1280 plus 32 q equals 16 p
Option B
C
32 q minus 16 p equals 1280
Option C
D
16 p plus 32 q equals 1280
Option D
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What is the value of a in the equation , when ?

Question illustration
A
15
B
18
C
21
D
27
3

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.
4

What is the value of y in the equation 5x + 2y = 20, when x = 0.3?

A
2.5
B
2.8
C
9.25
D
10.75
5

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

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