Equations and Inequalities Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is an inequality?

Back

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

Front

Solve the equation: 2x + 18 = 30.

Back

x = 6.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

Write an inequality for the following situation: Josh bought a bag of chips for $4 and bags of M&Ms for $2.50 each, spending no more than $20.50.

Back

4 + 2.5b ≤ 20.50, where b is the number of bags of M&Ms.

Front

Solve the inequality: 3x - 12 > 15.

Back

x > 9.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

Find the solution: -4x - 16 = 4.

Back

x = -5.

Front

What is a number line used for in inequalities?

Back

A number line visually represents the solution set of an inequality, showing which values satisfy the inequality.

Front

Identify the inequality represented by the number line: (show a number line with values).

Back

2x - 16 < -8.