Solving Linear Equations and Inequalities

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you 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 of the variable that makes the equation true.

Front

What is the solution to the equation 17 = x + 3?

Back

x = 14

Front

What is the solution to the equation x - 32 = 49?

Back

x = 81

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4

Front

What is the solution to the equation 10x = 90?

Back

x = 9

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 solve an inequality?

Back

To solve an inequality, you isolate the variable using similar steps as solving an equation, but you must reverse the inequality sign when multiplying or dividing by a negative number.