Question 1

Solve the inequality $$5x + 2 \geq 12. $$Which of the following is the correct solution?

Accepted Answer

$$x \geq 3$$

Question 2

Which answer choice below is the graph of $$x \leq 3$$?

Accepted Answer

A number line with a filled circle at 3 and shading to the left

Question 3

Simplify the expression $$3x + x + 5x + 2x + x. $$What is the result?

Accepted Answer

$$12x$$

Question 4

A company needs to solve the inequality $$5x + 2 \geq 12 to $$determine the minimum number of units $$x$$ they must produce to meet a quota. What is the minimum number of units?

Accepted Answer

$$x = 3$$

Question 5

If $$x \leq 3$$ represents the maximum safe dosage of a medication in milligrams, which graph correctly shows all possible safe dosages?

Accepted Answer

A number line with a filled circle at 3 and shading to the left

Question 6

Which of the following is the correct solution to the inequality $$5x + 2 \geq 12$$ after subtracting 2 from both sides?

Accepted Answer

$$5x \geq 10$$

Question 7

What is the value of $$x$$ that satisfies $$5x + 2 = 12$$?

Accepted Answer

$$x = 3$$

Question 8

If the inequality $$x \leq 3$$ describes the maximum number of hours a student can spend on an assignment, which graph represents this situation?

Accepted Answer

A number line with a filled circle at 3 and shading to the left

Question 9

Which step is necessary to isolate $$x in $$the inequality $$5x + 2 \geq 12$$?

Accepted Answer

Subtract 2 from both sides

Question 10

After simplifying $$3x + x + 5x + 2x + x$$, which property of algebra was used?

Accepted Answer

The commutative property

Solving Linear Inequalities and Graphing Solutions on a Number Line

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