10.31 - Solving Multiple Step Equations 2

Front

What is a multiple-step equation?

Back

A multiple-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

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 combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 42 = 9 - 3x

Back

x = -11

Front

Solve for m: -m + 3m = -2

Back

m = -1

Front

Solve for r: -13 - 2r = 3 - 4r

Back

r = 8

Front

Solve for x: 8 + 2(x + 7) = 4 + 5x

Back

x = 6

Front

Solve for x: -2x + 35 = 5(-5 - 7x) - 6

Back

x = -2

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 each term inside a parenthesis.

Front

What is the first step in solving a multiple-step equation?

Back

The first step is often to simplify both sides of the equation by combining like terms and using the distributive property.