Equations & Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

How do you solve the equation 2w = 58?

Back

Divide both sides by 2: w = 58 / 2 = 29.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does the inequality r ≥ -6 mean?

Back

It means that r can be any number greater than or equal to -6.

Front

How do you represent the inequality x ≤ 4 on a number line?

Back

Draw a solid dot on 4 and shade to the left, indicating all numbers less than or equal to 4.

Front

What is the solution to the equation 2y = 18?

Back

Divide both sides by 2: y = 18 / 2 = 9.

Front

What does the graph of the inequality x < -4 look like?

Back

A number line with an open dot on -4 and shading to the left.

Front

How do you check if w = 29 is a solution to the equation 2w = 58?

Back

Substitute 29 into the equation: 2(29) = 58, which is true.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

What does the inequality r < 5 represent?

Back

It represents all numbers less than 5.