Solving Linear Equations Morris

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

Solving an equation means finding the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 5(2x - 8) = 80?

Back

The first step is to distribute the 5 to both terms inside the parentheses: 10x - 40 = 80.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation x + 7 = 28?

Back

x = 21.

Front

What is the process to solve the equation 7x - 3x - 8 = 24?

Back

Combine like terms to get 4x - 8 = 24, then add 8 to both sides and divide by 4 to find x = 8.

Front

What does the equation -3x + 2 = 14 represent?

Back

It represents a linear relationship where you can find the value of x by isolating it.

Front

How do you write an equation for 'two times a number plus five equals 15'?

Back

The equation is 2x + 5 = 15.

Front

What is the solution to the equation -3x + 2 = 14?

Back

x = -4.