Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. 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 on both sides of the equation to get the variable alone on one side.

Front

What operation would you perform to solve the equation 4p = 16?

Back

Divide both sides by 4 to isolate p, resulting in p = 4.

Front

What is the solution to the equation x - (-1) = 11?

Back

x = 10.

Front

How do you solve the equation -14 = j - 20?

Back

Add 20 to both sides to isolate j, resulting in j = 6.

Front

What operation should be performed to isolate x in the equation x + 7 = 12?

Back

Subtract 7 from both sides to isolate x, resulting in x = 5.

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 3x = 12, how do you solve for x?

Back

Divide both sides by 3, resulting in x = 4.

Front

What does it mean to 'isolate the variable'?

Back

To isolate the variable means to manipulate the equation so that the variable is alone on one side of the equation.