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 3 + 4(m - 2) = 11?

Back

The first step is to distribute the 4 to both terms inside the parentheses: 3 + 4m - 8 = 11.

Front

What is the solution to the equation 3 + 4(m - 2) = 11?

Back

The solution is m = 4.

Front

How do you isolate the variable in the equation 2(3y - 4) + 8 = 16?

Back

First, simplify the left side: 6y - 8 + 8 = 16, then solve for y.

Front

What is the solution to the equation 2(3y - 4) + 8 = 16?

Back

The solution is y = 2.

Front

What is the process to solve the equation 2(x + 5) - 3 = 9?

Back

Distribute the 2, combine like terms, and isolate x.

Front

What is the solution to the equation 2(x + 5) - 3 = 9?

Back

The solution is x = 1.

Front

What is the first step in solving the equation 5 + 2(a - 4) = 11?

Back

First, distribute the 2: 5 + 2a - 8 = 11.

Front

What is the solution to the equation 5 + 2(a - 4) = 11?

Back

The solution is a = 7.