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 -x - 11 = 2x + 4?

Back

The first step is to isolate the variable by moving all terms involving x to one side and constant terms to the other side.

Front

Solve for x: -x - 11 = 2x + 4

Back

x = -5

Front

What is the solution to the equation 8 - 3a + 12 = 2a?

Back

a = 4

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.

Front

What is the solution to the equation 22 + 2a = 37 + 6 + a?

Back

a = 21

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows you to solve for its value, making it easier to understand the relationship in the equation.

Front

Solve for x: 8x - 8 = -4x + 16

Back

x = 2

Front

What does it mean to have a negative coefficient in front of a variable?

Back

A negative coefficient indicates that the variable's value will decrease when multiplied by that coefficient.