Solving Multi-step Equations (variables on one side)

Front

What is a multi-step equation?

Back

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

Front

What does it mean to isolate a variable?

Back

To manipulate an 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 each term inside a set of parentheses.

Front

How do you combine like terms?

Back

By adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

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

Back

Distribute -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

v = 10.

Front

How do you solve the equation 3x + 2(4x - 4) = 3?

Back

First, distribute 2: 3x + 8x - 8 = 3, then combine like terms and isolate x.

Front

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

Back

x = 1.

Front

What is the process to solve 7x - 4 = 3 + 8x?

Back

Rearrange the equation to isolate x: 7x - 8x = 3 + 4.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7.