Solving Linear Equations (week 8)

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 x + 7 = 28?

Back

Subtract 7 from both sides of the equation.

Front

What is the solution to the equation 10x = 90?

Back

x = 9.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

If you have the equation 2x + 3 = 11, what is the first step to solve for x?

Back

Subtract 3 from both sides.

Front

What is the solution to the equation 3x = 12?

Back

x = 4.

Front

What does it mean to check your solution in an equation?

Back

To check your solution means to substitute the value back into the original equation to verify that both sides are equal.