Multi-Step Equations W/ 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

How do you combine like terms in an equation?

Back

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

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

Solve the equation: 5x - 4 + 2x = 3

Back

x = 1

Front

Solve the equation: 2x - 3 + 4x = 27

Back

x = 5

Front

Solve the equation: -124 = 4(1 + 8k)

Back

k = -4

Front

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve the equation: -19 = -8(-4 + a) - (2a + 1)

Back

a = 5

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 purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.