AnswersALC Algebra I ASolving Two-Step Inequalities

Solving Two-Step Inequalities Answers

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1
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Which number line shows the solution to 11x + 14 < –8?

Answer:

D

2
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What is the first step in solving c Negative 5 x minus one-sixth greater-than-or-equal-to three-halves ?

Question illustration
A
Add to both sides.
B
Subtract from both sides.
C
Divide both sides by –5.
D
Multiply both sides by –5.
3

Solve –9.4 1.7x + 4.2.

Question illustration
A
x –8
Option A
B
x 8
Option B
C
x –8
Option C
D
x 8
Option D
4

Solve Two-thirds x minus one-fifth greater-than 1 . x >

Question illustration
Answer:

9/5

5

Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Which inequality can you use to find the number of cups of yogurt Monica can buy?

A
1.20x + 2.5 20
Option A
B
1.20x + 2.5 20
Option B
C
1.20x + 2.5 < 20
Option C
D
1.20x + 2.5 > 20
Option D
6

Monica can buy cups of yogurt.

Answer:

14

7

Review Jamie’s work. What was her error?

A
Jamie should have used the less than or equal to sign when writing the inequality.
B
Jamie should have reversed the inequality when using the division property of inequality.
C
Jamie should have added 500 to both sides.
D
Jamie should have started by dividing by –30.

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