Expressions, Equations, and Inequalities Study Guide

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality z ≤ 9?

Back

To solve z ≤ 9, you find all values of z that are less than or equal to 9.

Front

What is the equivalent expression for 36 + 24?

Back

The equivalent expression is 4(6 + 4).

Front

Translate the phrase: 'Tom can spend no more than 20 dollars.'

Back

The translation is t ≤ 20.

Front

What does the number line graph representing x ≥ 3 look like?

Back

It includes all numbers greater than or equal to 3, with a closed dot at 3.

Front

Are the expressions 3(2x + 3) and 6x + 9 equivalent?

Back

Yes, they are equivalent.

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value, often denoted by letters like x or y.