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 8x + 2 + 3x + 5 = x + 12?

Back

Combine like terms on the left side: 11x + 7 = x + 12.

Front

How do you isolate the variable in the equation 11x + 7 = x + 12?

Back

Subtract x from both sides to get 10x + 7 = 12.

Front

What is the next step after 10x + 7 = 12?

Back

Subtract 7 from both sides to get 10x = 5.

Front

How do you find the value of x in the equation 10x = 5?

Back

Divide both sides by 10 to get x = 1/2.

Front

What is the solution to the equation 2x = x + 3?

Back

The solution is x = 3.

Front

How do you set up an equation to compare two different charges for dog care?

Back

Set the total cost equations equal to each other: 15 + 3h = 21 + 1h.

Front

What is the solution to the equation 15 + 3h = 21 + 1h?

Back

The solution is h = 3 hours.

Front

What is the first step in solving the equation 2 - 4x = 3x - 12?

Back

Add 4x to both sides to get 2 = 7x - 12.