Solving Linear Equations

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

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

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

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

Solve the equation: 4x - 8 = 0

Back

x = 2

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value by getting it alone on one side of the equation.

Front

Solve for x: 5x + 10 = 35

Back

x = 5

Front

What is the inverse operation of addition?

Back

Subtraction is the inverse operation of addition.

Front

What is the inverse operation of multiplication?

Back

Division is the inverse operation of multiplication.

Front

Solve the equation: 3(x + 2) = 15

Back

x = 3

Front

What is the first step to solve the equation: 7 - 2x = 1?

Back

Subtract 7 from both sides.