Solve Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-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, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and perform operations to make the expression easier to work with.

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

Solve the equation: −18 − 6k = 6(1 + 3k)

Back

k = -1

Front

Solve the equation: −(7 − 4x) = 9

Back

x = 4

Front

Solve the equation: −3(4x + 3) + 4(6x + 1) = 43

Back

x = 4

Front

Solve the equation: 3m = 5(m + 3) − 3

Back

m = -6

Front

Solve the equation: 5n + 34 = −2(1 − 7n)

Back

n = 4

Front

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

Back

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