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

Tags

CCSS.8.EE.C.7B

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

Solve for y: 3y + 10.5 = 6.5 + 2.5y

Back

y = -8

Front

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

Back

a = 5

Tags

CCSS.8.EE.C.7B

Front

Solve for n: -16 + 7n + n = 8n + 4n

Back

n = -4

Front

Solve for x: 2(x + 5) - 7 = 3(x - 2)

Back

x = 9

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

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 combining like terms and using the distributive property.

Tags

CCSS.8.EE.C.7B

Front

Solve for x: -5(4x - 2) = -2(3 + 6x)

Back

x = 2