Solving 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 to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the solution to the equation 4x + 5x = 27?

Back

x = 3

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 33 = 4a - 7?

Back

The first step is to add 7 to both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 33 = 4a - 7?

Back

a = 10

Front

What is the process to solve the equation 8x - 10 = -34?

Back

Add 10 to both sides to get 8x = -24, then divide both sides by 8 to find x.

Front

What is the solution to the equation 8x - 10 = -34?

Back

x = -3

Front

How do you solve for a in the equation -3a + 8 = 14?

Back

Subtract 8 from both sides to get -3a = 6, then divide by -3 to find a.