Question 1

Solve the inequality $$5x + 2 \geq 12. $$What is the 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 $$3x + x + 5x + 2x + x.$$

Accepted Answer

$$12x$$

Question 4

If $$x$$ represents the number of hours worked and you earn $$15$$ dollars per hour, which equation models your total earnings $$E$$?

Accepted Answer

$$E = 15x$$

Question 5

Solve for $$x$$: $$2x - 5 = 9.$$

Accepted Answer

$$x = 7$$

Question 6

Which of the following is the solution set for the inequality $$x \u003c -4$$?

Accepted Answer

All numbers less than $$-4$$

Question 7

A chemist mixes two solutions. The first contains $$x$$ grams of salt, the second contains $$2x$$ grams. What is the total amount of salt?

Accepted Answer

$$3x$$ grams

Question 8

Which equation represents the line passing through $$(0, 2)$$ with a slope of $$-3$$?

Accepted Answer

$$y = -3x + 2$$

Question 9

If $$x is $$the number of tickets sold and each ticket costs $$8$$, which expression represents the total revenue?

Accepted Answer

$$8x$$

Question 10

Solve for $$x$$: $$4x + 7 = 19.$$

Accepted Answer

$$x = 3$$

Solving Linear Inequalities and Graphing Solutions on a Number Line

Study Guide - Practice Questions