Practice - Linear equations Multi Step (one variable)

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 = 0, where a and b 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 3x = x + 6?

Back

The first step is to isolate the variable x by moving all terms involving x to one side of the equation.

Front

Solve for x: 3x = x + 6

Back

x = 3

Front

What is the solution to the equation 15 + 5x = 2x?

Back

x = -5

Front

How do you combine like terms in the equation 6x - 8 = 2x + 4?

Back

You add or subtract the coefficients of the same variable and constants on both sides of the equation.

Front

Solve for x: 6x - 8 = 2x + 4

Back

x = 3

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Use the distributive property to solve: 5(3b - 2) = 2(b + 4) + 34

Back

b = 4

Front

What is the process to isolate x in the equation 6x + 4 = 3x + 13?

Back

Subtract 3x from both sides and then subtract 4 from both sides to isolate x.