Solving Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing 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 -3x + 5 = -16?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

What is the solution to the equation -3x + 5 = -16?

Back

x = 7.

Front

What is the first step in solving the inequality -4x + 8 > -15?

Back

Subtract 8 from both sides of the inequality.

Front

What is the second step in solving the inequality -3w - 2 < -17?

Back

Add 2 to both sides of the inequality.

Front

What does a closed circle on a number line represent in inequalities?

Back

A closed circle indicates that the number is included in the solution set (≤ or ≥).

Front

What does an open circle on a number line represent in inequalities?

Back

An open circle indicates that the number is not included in the solution set (< or >).