# Solving Systems Of Linear Equations - Mr. Mueller

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| By Mrmueller
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Mrmueller
Community Contributor
Quizzes Created: 1 | Total Attempts: 225
Questions: 16 | Attempts: 225

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This quiz will test your knowledge of solving systems of linear equations.

• 1.

### c = 13x + 17c = -3x + 1Solve for x

Explanation
13x + 17 = -3x + 1
16x + 17 = 1
16x = -16
x = -1

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• 2.

### C = 13x + 17c = -3x + 1Use the previous question/answer to solve for c

Explanation
c = 13(-1) + 17
c = -13 +17
c = 4

or

c = -3(-1) + 1
c = 3 + 1
c = 4

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• 3.

### j = 45 - 5aj = 35 - 7aSolve for a

Explanation
45 - 5a = 35 - 7a
45 + 2a = 35
2a = -10
a = -5

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• 4.

### J = 45 - 5aj = 35 - 7aUse the previous question/answer to solve for j

Explanation
j = 45 - 5(-5)
j = 45 + 25
j = 70

or

j = 35 - 7(-5)
j = 35 + 35
j = 70

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• 5.

### e = 15 + 9ke = 20 + 4kSolve for k

Explanation
15 + 9k = 20 + 4k
15 + 5k = 20
5k = 5
k = 1

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• 6.

### e = 15 + 9ke = 20 + 4kUse the previous question/answer to solve for e

Explanation
e = 15 + 9(1)
e = 15 + 9
e = 24

or

e = 20 + 4(1)
e = 20 + 4
e = 24

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• 7.

### y = 700 - 0.5xy = 900 - 1xSolve for x

Explanation
700 - 0.5x = 900 - 1x
700 + 0.5x = 900
0.5x = 200
x = 400

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• 8.

### y = 700 - 0.5xy = 900 - 1xUse the previous question/answer to solve for y

Explanation
y = 700 - 0.5(400)
y = 700 - 200
y = 500

or

y = 900 - 1(400)
y = 900 - 400
y = 500

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• 9.

### y = 34x - 29y = 13x + 13Solve for x

Explanation
34x - 29 = 13x + 13
21x - 29 = 13
21x = 42
x = 2

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• 10.

### y = 34x - 29y = 13x + 13Use the previous question/answer to solve for y

Explanation
y = 34(2) - 29
y = 68 - 29
y = 39

or

y = 13(2) + 13
y = 26 + 13
y = 39

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• 11.

### h = 2t - 6h = 15 + 0.25tSolve for t

Explanation
2t - 6 = 15 + 0.25t
1.75t - 6 = 15
1.75t = 21
t = 12

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• 12.

### h = 2t - 6h = 15 + 0.25tUse the previous question/answer to solve for h

Explanation
h = 2(12) - 6
h = 24 - 6
h = 18

or

h = 15 + 0.25(12)
h = 15 + 3
h = 18

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• 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

C. 50 is the length of the spring with no weight attached
Explanation
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.

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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

A. 8 is how much the spring stretches by with every pound added
Explanation
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.

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• 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

8
Explanation
50 + 3w = 10 + 8w
50 = 10 + 5w
40 = 5w
w = 8

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• 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

74
Explanation
s = 50 + 3(8)
s = 50 + 24
s = 74

or

s = 10 + 8(8)
s = 10 + 64
s = 74

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