Proportions, Absolute Value, Inequalities Review

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the variable.

Front

What does absolute value represent?

Back

Absolute value represents the distance of a number from zero on the number line, regardless of direction.

Front

How do you solve an absolute value equation like |x + 1| = 4?

Back

Set up two equations: x + 1 = 4 and x + 1 = -4.

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 not equal to the other.

Front

What symbols are used for closed dot graphs in inequalities?

Back

Closed dot graphs are used for the symbols ≤ and ≥.

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers less than -4, with an open circle at -4.

Front

How do you graph the inequality -2 ≥ n?

Back

Graph a closed dot at -2 and shade to the left, indicating all numbers less than or equal to -2.

Front

What is the first step in solving the inequality x + 3 > 5?

Back

Subtract 3 from both sides to isolate x.

Front

What does the solution x ≥ 2 mean?

Back

It means x can be any number greater than or equal to 2.