Solving Linear Equations in One Variable

Front

What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

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

Solve for k: 3k + 5 = 23

Back

k = 6

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

Solve for x: x - 8 = -5

Back

x = 3

Front

What is the first step in solving the equation -4x = 44?

Back

The first step is to divide both sides by -4 to isolate x.

Front

Solve for m: 18 + m = 8

Back

m = -10

Front

What is the solution to the equation -7c + 1 = -20?

Back

c = 3

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.