Solving Multi-step Linear Equations

Front

What is a multi-step linear equation?

Back

A multi-step linear equation is an equation that requires more than one step to isolate the variable and solve for its value.

Front

Solve: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

Distribute -4 to both terms inside the parentheses.

Front

Solve: 8v - 4(v + 8) = 8

Back

v = 10

Front

What is the goal of solving a one, two, or multi-step equation?

Back

To find the value of the variable.

Front

Solve: 3(x - 2) = 18

Back

x = 8

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the distributive property?

Back

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

Front

Solve: 5(x + 3) = 40

Back

x = 5

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable.