Multi-step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

How do you solve the equation -166=7x+3(6x+3)?

Back

First, distribute: -166 = 7x + 18x + 9. Combine like terms: -166 = 25x + 9. Then, isolate x: 25x = -175, so x = -7.

Front

What is the first step in solving the equation 3x + 2(4x - 4) = 3?

Back

Distribute the 2: 3x + 8x - 8 = 3.

Front

What is the solution to the equation 7x = 3x + 24?

Back

x = 6.

Front

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

Back

To find the value of the variable.

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

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

Front

How do you combine like terms in an equation?

Back

By adding or subtracting coefficients of the same variable.

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

x = 1.

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable, such as the 3 in 3x.