Multi-Step Equations W/ Variables on One Side

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 combining like terms, using the distributive property, and isolating the variable.

Front

Solve for v: 8v - 4(v + 8) = 8

Back

v = 10

Front

Solve for x: 5x - 4 + 2x = 3

Back

x = 1

Front

What is the inverse operation of subtraction?

Back

Addition

Front

Solve for n: -(n - 8) = -2

Back

n = 10

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

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 two or more terms inside a set of parentheses.

Front

Solve for x: 3(x - 2) + 4 = 10

Back

x = 6

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, which can be combined by adding or subtracting their coefficients.

Front

Solve for y: 2y + 3 = 11

Back

y = 4