Solving SySTEMs Of Linear Equations - Mr. Mueller
This quiz will test your knowledge of solving systems of linear equations.
Questions and Answers
- 1.
c = 13x + 17c = -3x + 1Solve for x
Correct Answer
-1Explanation
13x + 17 = -3x + 1
16x + 17 = 1
16x = -16
x = -1Rate this question:
- 2.
C = 13x + 17c = -3x + 1Use the previous question/answer to solve for c
Correct Answer
4Explanation
c = 13(-1) + 17
c = -13 +17
c = 4
or
c = -3(-1) + 1
c = 3 + 1
c = 4Rate this question:
- 3.
j = 45 - 5aj = 35 - 7aSolve for a
Correct Answer
-5Explanation
45 - 5a = 35 - 7a
45 + 2a = 35
2a = -10
a = -5Rate this question:
- 4.
J = 45 - 5aj = 35 - 7aUse the previous question/answer to solve for j
Correct Answer
70Explanation
j = 45 - 5(-5)
j = 45 + 25
j = 70
or
j = 35 - 7(-5)
j = 35 + 35
j = 70Rate this question:
- 5.
e = 15 + 9ke = 20 + 4kSolve for k
Correct Answer
1Explanation
15 + 9k = 20 + 4k
15 + 5k = 20
5k = 5
k = 1Rate this question:
- 6.
e = 15 + 9ke = 20 + 4kUse the previous question/answer to solve for e
Correct Answer
24Explanation
e = 15 + 9(1)
e = 15 + 9
e = 24
or
e = 20 + 4(1)
e = 20 + 4
e = 24Rate this question:
- 7.
y = 700 - 0.5xy = 900 - 1xSolve for x
Correct Answer
400Explanation
700 - 0.5x = 900 - 1x
700 + 0.5x = 900
0.5x = 200
x = 400Rate this question:
- 8.
y = 700 - 0.5xy = 900 - 1xUse the previous question/answer to solve for y
Correct Answer
500Explanation
y = 700 - 0.5(400)
y = 700 - 200
y = 500
or
y = 900 - 1(400)
y = 900 - 400
y = 500Rate this question:
- 9.
y = 34x - 29y = 13x + 13Solve for x
Correct Answer
2Explanation
34x - 29 = 13x + 13
21x - 29 = 13
21x = 42
x = 2Rate this question:
- 10.
y = 34x - 29y = 13x + 13Use the previous question/answer to solve for y
Correct Answer
39Explanation
y = 34(2) - 29
y = 68 - 29
y = 39
or
y = 13(2) + 13
y = 26 + 13
y = 39Rate this question:
- 11.
h = 2t - 6h = 15 + 0.25tSolve for t
Correct Answer
12Explanation
2t - 6 = 15 + 0.25t
1.75t - 6 = 15
1.75t = 21
t = 12Rate this question:
- 12.
h = 2t - 6h = 15 + 0.25tUse the previous question/answer to solve for h
Correct Answer
18Explanation
h = 2(12) - 6
h = 24 - 6
h = 18
or
h = 15 + 0.25(12)
h = 15 + 3
h = 18Rate this question:
- 13.
The length s (in inches) of a spring is a function of the weight w (in pounds) that is attached to the spring. The length of two springs, as a function of the weight added ares = 50 + 3w ands = 10 + 8wFor the FIRST equation, what does "50" tell you about the length of the spring?
- A.
50 is how much the spring stretches with every pound added
- B.
50 is the y-intercept
- C.
50 is the length of the spring with no weight attached
Correct Answer
C. 50 is the length of the spring with no weight attachedExplanation
The correct answer is "50 is the length of the spring with no weight attached". This means that when there is no weight attached to the spring, its length is 50 inches.Rate this question:
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- 14.
The length s (in inches) of a spring is a function of the weight w (in pounds) that is attached to the spring. The length of two springs, as a function of the weight added ares = 50 + 3w ands = 10 + 8wFor the SECOND equation, what does "8" tell you about the length of the spring?
- A.
8 is how much the spring stretches by with every pound added
- B.
8 is the slope
- C.
8 is the length of the spring with no weight attached
Correct Answer
A. 8 is how much the spring stretches by with every pound addedExplanation
The correct answer is "8 is how much the spring stretches by with every pound added." This means that for every pound of weight added to the spring, the length of the spring increases by 8 inches.Rate this question:
-
- 15.
The length s (in inches) of a spring is a function of the weight w (in pounds) that is attached to the spring. The length of two springs, as a function of the weight added ares = 50 + 3w ands = 10 + 8wFind the weight "w" that makes the length of these springs equal
Correct Answer
8Explanation
50 + 3w = 10 + 8w
50 = 10 + 5w
40 = 5w
w = 8Rate this question:
- 16.
The length s (in inches) of a spring is a function of the weight w (in pounds) that is attached to the spring. The length of two springs, as a function of the weight added ares = 50 + 3w ands = 10 + 8wUsing the last question/answer, find the length "s" of the two equal springs
Correct Answer
74Explanation
s = 50 + 3(8)
s = 50 + 24
s = 74
or
s = 10 + 8(8)
s = 10 + 64
s = 74Rate this question:
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Current Version
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Mar 19, 2023Quiz Edited by
ProProfs Editorial Team -
Oct 11, 2010Quiz Created by
Mrmueller
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