AnswersFL-1200700-Mathematics for College Algebra MISSolving Linear Equations: Variable on One Side

Solving Linear Equations: Variable on One Side — Unit test Answers

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What is the value of x in the equation ?

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A
StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.
Option A
B
StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis.
Option B
C
2
D
13
2
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What is the solution to the linear equation?6k + 10.5 = 3k + 12

A
k = 0.5
B
k = 2
C
k = 7.3
D
k = 9
3

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

A
The equation has one solution: x = 0.
B
The equation has one solution: x = 8.
C
The equation has no solution.
D
The equation has infinite solutions.
4

The tables represent the functions f(x) and g(x).

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A
x = –3
B
x = –1
C
x = 0
D
x = 1
5

What is the solution to the linear equation? + p = + p

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A
p = 1
B
p = 2
C
p = 8
D
p = 10
6

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

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A
Step 1
B
Step 2
C
Step 3
D
Step 4
7

Which input value produces the same output value for the two functions on the graph?

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A
x = –3
B
x = –1
C
x = 1
D
x = 3
8

Solve the equation.–9x + 1 = –x + 17

A
x = –8
B
x = –2
C
x = 2
D
x = 8
9

Solve the equation.y + 3 = –y + 9

A
y = 1
B
y = 3
C
y = 6
D
y = 9
10

Kate begins solving the equation (6x – 3) = (6x – 4). Her work is correct and is shown below.(6x – 3) = (6x – 4)4x – 2 = 3x – 2

Question illustration
A
The equation has infinite solutions.
B
The equation has one solution: x = 0.
C
The equation has one solution: x = .
Option C
D
The equation has no solution.
11

Fiona solved the equation shown. – (6x – 3) = –

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A
Simplify by combining like terms.
B
Simplify by using addition property of equality.
C
Simplify by using the multiplication property of equality.
D
Simplify by using the division property of equality.
12

What is the value of n in the equation ?

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A
n = 0
B
n = 2
C
n = 4
D
n = 6
13

How many solutions exist for the given equation?3x + 13 = 3(x + 6) + 1

A
zero
B
one
C
two
D
infinitely many
14

What is the solution to the linear equation?2.8y + 6 + 0.2y = 5y – 14

A
y = –10
B
y = –1
C
y = 1
D
y = 10
15

The levels of mercury in two different bodies of water are rising. In one body of water the initial measure of mercury is 0.05 parts per billion (ppb) and is rising at a rate of 0.1 ppb each year. In the second body of water the initial measure is 0.12 ppb and the rate of increase is 0.06 ppb each year.

A
0.05 – 0.1y = 0.12 – 0.06y
B
0.05y + 0.1 = 0.12y + 0.06
C
0.05 + 0.1y = 0.12 + 0.06y
D
0.05y – 0.1 = 0.12y – 0.06
16

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?6 – x + = x + 5

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A
2
B
3
C
6
D
12
17

Rahul solved the equation 2(x – ) – x = . In which step did he use the addition property of equality?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
18

Solve for x.6(x – 1) = 9(x + 2)

A
x = –8
B
x = –3
C
x = 3
D
x = 8
19

Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four”?

A
(1 – n) – 3 = (4 – 3n)
Option A
B
3 – (1 – n) = (4 – 3n)
Option B
C
(n – 1) – 3 = (3n – 4)
Option C
D
3 – (n – 1) = (3n – 4)
Option D
20

What is the solution to the linear equation?4b + 6 = 2 – b + 4

A
b = –2
B
b = 0
C
b = 4
D
b = 6

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