Match the Vocab Word to the definition.

Remember, you are allowed to use your notes to help you!

Question 1 options:

If a > b, then a + c > b + c

The reason or explanation for each step in a proof.

If a = b, then a + c = b + c

If a > b, then a - c > b – c

If a = b, then c ∙ a = c ∙ b

If a = b, and c ≠ 0, then a/c = b/c

Any and all values of the variable that satisfies an equation or inequality.

A method to prove statements using properties that justify each step.

If a > b, and c > 0, then a/c > b/c
If a > b, and c < 0, then a/c < b/c

Whenever you add or subtract like terms to simplify an equation or inequality.

If a > b, and c > 0, then c ∙ a > c ∙ b
If a > b, and c < 0, then c ∙ a < c ∙ b

If a = b, then a - c = b - c

a(b + c) = ab + ac

An equation or inequality containing one or more variables.


An algebraic relation showing that a quantity is "greater than" or "less than" another quantity.

The equation that is given to you at the start of a problem.
1.
Inequality

2.
Solution

3.
Open Sentence

4.
Proof

5.
Justification

6.
Given

7.
Distributive Property

8.
Combine Like Terms

9.
Addition Property of Equality

10.
Subtraction Property of Equality

11.
Multiplication Property of Equality

12.
Division Property of Equality

13.
Addition Property of Order

14.
Subtraction Property of Order

15.
Multiplication Property of Order

16.
Division Property of Order