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

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 x/7 = 14?

Back

x = 98

Front

What is the solution to the equation 5x = 30?

Back

x = 6

Front

What is the solution to the equation 3(5x + 1) = 48?

Back

x = 3

Front

What is the solution to the equation 7x - 9 = 33?

Back

x = 6

Front

What is the solution to the equation 3x + 6 = 21?

Back

x = 5

Front

What is the first step to solve the equation 2x + 4 = 12?

Back

Subtract 4 from both sides to isolate the term with the variable.

Front

What is the principle of equality in solving equations?

Back

The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.