Unit Test — Unit test Answers

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A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes.Which system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt.

A
9 = 0.5(x – y) 9 = 1.5(x + y)
B
9 = 1.5(x – y) 9 = 0.5(x + y)
C
0.5 = 9(x – y) 1.5 = 9(x + y)
D
1.5 = 9(x – y) 0.5 = 9(x + y)
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What is the solution to the system of equations?y = x – 102x + y = 4

Question illustration
A
(–8, 6)
B
(–6, 16)
C
(6, –8)
D
(16, –6)
23

y=x – 6x=–4

Question illustration
A
(–8, –4)
B
(–4, –8)
C
(–4, 4)
D
(4, –4)
24

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The system that represents Mira’s numbers is below. x – y = 4x + y = 18Which two numbers did Mira pick?

Question illustration
A
10 and 8
B
18 and 4
C
20 and 16
D
40 and 32
25

What is the x-value in the solution to this system of linear equations?2x − y = 11x + 3y = −5

A
−3
B
−1
C
2
D
4

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