Solving Multistep/Variables on both sides Equations

Front

What is a multistep equation?

Back

A multistep 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.

Tags

CCSS.8.EE.C.7B

Front

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides of an equation means that the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.6.EE.B.7

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 each term inside a parenthesis.

Tags

CCSS.6.EE.A.3

Front

Solve for x: 5 = 4 - x

Back

x = -1

Tags

CCSS.6.EE.B.7

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

Solve the equation: -8x - 8 + 3(x - 2) = -3x + 2

Back

x = -8

Front

Solve for x: 4(1 - x) + 3x = -2(x + 1)

Back

x = -6

Front

What is a linear equation?

Back

A linear equation is an equation that graphs as a straight line and can be written in the form ax + b = c.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the first step in solving a multistep equation?

Back

The first step is to simplify both sides of the equation by combining like terms and using the distributive property if necessary.

Tags

CCSS.8.EE.C.7B