Answers AZ-Algebra 1A MA101Solving One-Variable Inequalities

Solving One-Variable Inequalities — Unit test Answers

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Solve the equation.2x − 3 + 4x = 21

x = −12

x = −6

x = 4

x = 6

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Solve the equation.–x + 8 + 3x = x – 6

x = –18

x = –14

x = 2

x = 4

Consider the equation v + 4 + v = 8. What is the resulting equation after the first step in the solution?

v +4 = 8 – v

v +4 = 8

4 + v = 8 – v

2v + 4 = 8

How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

zero

one

two

infinitely many

What is the solution to –4(8 – 3x) ≥ 6x – 8?

x ≥ –

x ≤ –

x ≥ 4

x ≤ 4

What is the value of p in the linear equation ?

−4

−2

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

(–∞, –3]

[–3, ∞)

(–∞, 15]

[15, ∞)

Sara wants to find the input value that produces the same output for the functions represented by the tables.

–2

–1

Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.What is the missing step of her solution?

Add 10.4 to both sides.

Add negative 10.4 to both sides.

Multiply both sides of the equation by 10.4.

Divide both sides of the equation by 10.4.

Which number line represents the solution set for the inequality 3x < –9?

A number line from negative 4 to 4 in increments of 1. A point is at negative 3 and a bold line starts at negative 3 and is pointing to the left.

A number line from negative 4 to 4 in increments of 1. A point is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

A number line from negative 4 to 4 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.

A number line from negative 4 to 4 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Solve the inequality.2(4+2x)≥5x+5

x≤−2

x≥−2

x≤3

x≥3

A metalsmith is mixing two molten metals, each containing different percentages of silver. The table shows the amount of each molten metal used.

(15)(0.75) and 0.7(15 – x) + 0.9x

(15)(0.75) and 0.7(15 – x)(0.9x)

15 + 0.75 and 0.7(15 – x) + 0.9x

15 + 0.75 and 0.7(15 – x)(0.9x)

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

2.3p – 10.1 = 6.4p – 4

2.3p – 10.1 = 6.49p – 4

230p – 1010 = 650p – 400 – p

23p – 101 = 65p – 40 – p

2.3p – 14.1 = 6.4p – 4

What value of x is in the solution set of the inequality –2(3x + 2) > –8x + 6?

–6

–5

Alex has 84 quarters and nickels worth a total of $17.80.

0.25q + 0.05(q – 84) = 17.80

0.05q + 0.25(84 – q) = 17.80

0.25(q – 84) + 0.05q = 17.80

0.05(84 – q) + 0.25q = 17.80

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Solving One-Variable Inequalities — Unit test Answers

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