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, or not equal to the other.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

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

What is the first step in solving the equation: 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the solution to the equation: 3x - 4 = 5?

Back

x = 3.

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you graph the inequality x > 4?

Back

Draw a number line, place an open circle at 4, and shade to the right to indicate all numbers greater than 4.

Front

What is the solution to the inequality: x/4 ≤ 8?

Back

x ≤ 32.

Front

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.