Solving Systems Of Linear Equations - Mr. Mueller

  • CCSS.Math.Content.HSA-REI.C.6
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| By Mrmueller
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Mrmueller
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Quizzes Created: 1 | Total Attempts: 247
| Attempts: 247 | Questions: 16
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1)
c = 13x + 17
c = -3x + 1

Solve for x

Explanation

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

Submit
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2)
c = 13x + 17

c = -3x + 1

Use 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

Submit
3)
j = 45 - 5a
j = 35 - 7a

Solve for a

Explanation

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

Submit
4)
j = 45 - 5a

j = 35 - 7a


Use 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

Submit
5)
e = 15 + 9k
e = 20 + 4k

Solve for k

Explanation

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

Submit
6)
e = 15 + 9k
e = 20 + 4k

Use 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

Submit
7)
y = 700 - 0.5x
y = 900 - 1x

Solve for x

Explanation

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

Submit
8)
y = 700 - 0.5x
y = 900 - 1x

Use 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

Submit
9)
y = 34x - 29
y = 13x + 13

Solve for x

Explanation

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

Submit
10)
y = 34x - 29
y = 13x + 13

Use 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

Submit
11)
h = 2t - 6
h = 15 + 0.25t

Solve for t

Explanation

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

Submit
12)
h = 2t - 6
h = 15 + 0.25t

Use 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

Submit
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 
are


s = 50 + 3w      and

s = 10 + 8w


Find the weight "w" that makes the length of these springs equal

Explanation

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

Submit
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 
are


s = 50 + 3w      and

s = 10 + 8w


Using the last question/answer, find the length "s" of the two equal springs

Explanation

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

or

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

Submit
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 
are


s = 50 + 3w      and

s = 10 + 8w


For the SECOND equation, what does "8" tell you about the length of the spring?

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.

Submit
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 
are



s = 50 + 3w      and

s = 10 + 8w


For the FIRST equation, what does "50" tell you about the length of the spring?

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.

Submit
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  • Oct 11, 2010
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C = 13x + 17c = -3x + 1Solve for x
C = 13x + 17c = -3x + 1Use the previous question/answer to solve for c
J = 45 - 5aj = 35 - 7aSolve for a
J = 45 - 5aj = 35 - 7aUse the previous question/answer to solve for j
E = 15 + 9ke = 20 + 4kSolve for k
E = 15 + 9ke = 20 + 4kUse the previous question/answer to solve for e
Y = 700 - 0.5xy = 900 - 1xSolve for x
Y = 700 - 0.5xy = 900 - 1xUse the previous question/answer to solve...
Y = 34x - 29y = 13x + 13Solve for x
Y = 34x - 29y = 13x + 13Use the previous question/answer to solve for...
H = 2t - 6h = 15 + 0.25tSolve for t
H = 2t - 6h = 15 + 0.25tUse the previous question/answer to solve for...
The length s (in inches) of a spring is a function of the weight w (in...
The length s (in inches) of a spring is a function of the weight w (in...
The length s (in inches) of a spring is a function of the weight w (in...
The length s (in inches) of a spring is a function of the weight w (in...
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