AnswersAZ-Intermediate Algebra A MA311Solving Linear Equations: Variable on One Side

Solving Linear Equations: Variables on Both Sides Answers

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?m – = 2 + m

Question illustration
A
2
B
3
C
4
D
5
2
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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
3

What is the justification for the step taken from line 2 to line 3?

Question illustration
A
the subtraction property of equality
B
the multiplication property of equality
C
combining like terms on one side of the equation
D
the distributive property
4

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
5

What is the solution to the linear equation?d – 10 – 2d + 7 = 8 + d – 10 – 3d

A
d = –5
B
d = –1
C
d = 1
D
d = 5
6

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

Question illustration
A
2
B
3
C
6
D
12
7

Solve the equation.–3x + 1 + 10x = x + 4

A
x =
Option A
B
x =
Option B
C
x = 12
D
x = 18
8

Solve the equation.y + 6 = –3y + 26

A
y = –8
B
y = –5
C
y = 5
D
y = 8
9

Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.

A
112 – 25m + 45 = 50 – 60m
B
112 + 25 + 45m = 50m + 60
C
112 + 25 – 45m = –50m + 60
D
112 + 25m + 45 = 50 + 60m
10

What is the solution to the linear equation?x – = + x

Question illustration
A
x = –5
B
x = –
Option B
C
x =
Option C
D
x = 5

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