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 $$3x + x + 5x + 2x + x. $$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

Which of the following represents the solution set for $$x \leq 3 on a $$number line?

Accepted Answer

A filled circle at 3 with shading to the left

Question 6

If $$x$$ represents the number of hours a student can spend studying and the constraint is $$x \leq 3$$, which graph correctly represents this situation?

Accepted Answer

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

Question 7

Which of the following is the correct way to combine like terms in $$3x + x + 5x + 2x + x$$?

Accepted Answer

$$3x + x = 4x$$, $$4x + 5x = 9x$$, $$9x + 2x = 11x$$, $$11x + x = 12x$$

Question 8

If the solution to $$5x + 2 \geq 12 is$$ $$x \geq 3$$, which of the following values satisfies the inequality?

Accepted Answer

$$x = 3$$

Question 9

A student is allowed to spend up to 3 hours on an assignment. Which inequality represents this situation?

Accepted Answer

$$x \leq 3$$

Question 10

Which of the following is NOT a solution to $$x \leq 3$$?

Accepted Answer

$$x = 4$$

Solving Linear Inequalities and Graphing Solutions on a Number Line

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