AnswersLA-Algebra II AEquations in One Variable

Equations in One Variable Answers

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74 = 2b – 5✔ 74 = 2b + 5b– 5 = 2(74) b + 5 = 2(74)

A
74 = 2b – 5
B
74 = 2b + 5
C
b– 5 = 2(74)
D
b + 5 = 2(74)
3

addition property of equalitymultiplication property of equality✔ additive identityadditive inversesmultiplicative inverses

A
addition property of equality
B
multiplication property of equality
C
additive identity
D
additive inverses
E
multiplicative inverses
4

addition property of equality✔ multiplication property of equalityadditive identityadditive inversesmultiplicative inverses

A
addition property of equality
B
multiplication property of equality
C
additive identity
D
additive inverses
E
multiplicative inverses
6

Determine the flaws in the solution.

A
The multiplication property of equality in Step 2 should result in |x| = 7.
B
The definition of absolute value is applied incorrectly. There is no solution.
C
The reason in Step 4 should be the addition property of equality.
D
The multiplication property of equality in Step 4 should result in only x = 7.
E
In evaluating the solutions, the absolute value should be simplified first to get a positive value.
7

Jen solved the equation to determine the number of questions, x, she answered incorrectly on a test. She began by subtracting 100 from both sides, then multiplying both sides by –2. Which best describes the accuracy of Jen’s work?

Question illustration
A
Incorrect. She needed to add 100 to both sides instead of subtracting 100.
Option A
B
Incorrect. She needed to multiply both sides by –2 first, then subtract 100.
Option B
C
Correct. She could have also subtracted 100 from both sides, then divided by .
Option C
D
Correct. She could have also multiplied both sides by –2 first, then subtracted 100.
Option D
8

✔ addition property of equalitymultiplication property of equalityadditive identityadditive inversesmultiplicative inverses

A
addition property of equality
B
multiplication property of equality
C
additive identity
D
additive inverses
E
multiplicative inverses
9

What is the solution set of –|–x| = –12?

A
no solution
B
{–12}
C
{12}
D
{–12, 12}
14

addition property of equalitymultiplication property of equalityadditive identity✔ additive inversesmultiplicative inverses

A
addition property of equality
B
multiplication property of equality
C
additive identity
D
additive inverses
E
multiplicative inverses

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