### CHECK OUT SHMOOP'S FREE STUDY TOOLS:

# Equations and Inequalities

# Equations and Inequalities: Inequality for All Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Equations and Inequalities**Q. The statement "

*x*is at most 37" can be expressed in symbols as*x*< 37

*x*≤ 37

37 >

*x*37 ≤

*x*None of the above

Q. Which number is a solution to the inequality

*x* > - 1 ?

- 1

- 2

- 0.5

- 200

None of the above

Q. Which number is NOT a solution to the inequality

- 19 ≤ *y* ?

- 18

- 19

- 20

- 1

None of the above

Q. Which picture represents the inequality

*y*≥ - 2 ?None of the above

Q. Which inequality is represented by the following picture?

*z*< 1

1 <

*z**z*≥ 1

1 ≥

*z*None of the above

Q. What is the solution to the inequality

3(*x* - 7) + 1 ≥ 2*x* + 3(*x* + 4) ?

None of the above

Q. Which picture shows the solutions to the inequality

- 17*y* ≤ 51 ?

None of the above

Q. Which picture and inequality do NOT match?

*y*> 1 and

*z*≤ 3 and

0 >

*x*and5 ≤

*y*andNone of the above

Q. A student solved the inequality

4(1 - *z*) < 3*z* + 2 by taking the following steps:

1. 4 - 4*z* < 3*z* + 2

2. - 7*z* < - 2$

3.

If the student made an error—aside from her ghastly blouse/pant combo—where was it?

In going from the original inequality to line 1.

In going from line 1 to line 2.

In going from line 2 to line 3.

The student made no errors.

None of the above

Q. Which of the following inequalities is NOT equivalent to the inequality

- 3(*z* + 2 - 4(*z* + 1))< - 6(*z* + 4)?

3(

*z*+ 2 - 4(*z*+ 1) > 6(*z*+ 4)- 3(

*z*+ 2 - 4*z*+ 4) < - 6(*z*+ 4)- 3

*z*- 6 + 12(*z*+ 1) < - 6(*z*+ 4)*z*+ 2 - 4(

*z*+ 1) > 2(

*z*+ 4)

None of the above