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 6b = 30?

Back

Divide both sides of the equation by 6 to isolate b.

Front

Solve for x: x + 12 = 20

Back

x = 8

Front

What is the solution to the equation -7(z - 6) = -70?

Back

z = 16

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the solution to the equation -4x + 1 = 21?

Back

x = -5

Front

What does it mean for an equation to have one solution?

Back

An equation has one solution if there is exactly one value for the variable that makes the equation true.

Front

What is the solution to the equation k = 176?

Back

k = 176 is already solved; the solution is k = 176.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.