Multistep Equations with Variables on both sides

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve for the variable, often involving combining like terms, using the distributive property, and isolating the variable.

Tags

CCSS.8.EE.C.7B

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 6a + 3 - 4a = 9?

Back

Combine like terms on the left side of the equation.

Tags

CCSS.8.EE.C.7B

Front

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

Back

It means that the variable appears on both sides of the equation, requiring you to manipulate the equation to get all variable terms on one side.

Front

What is the goal of solving equations?

Back

The goal is to find the value of the variable that makes the equation true.

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

How do you check your solution after solving an equation?

Back

You substitute the solution back into the original equation to verify that both sides are equal.

Tags

CCSS.8.EE.C.7B

Front

What is the importance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.

Tags

CCSS.8.EE.C.7B

Front

What is the first step to solve the equation -11 - 3x = 44 - 2x?

Back

The first step is to get the variables on one side of the equation.

Front

How do you solve for a in the equation 9 + 2a = -3 - 4a?

Back

You first combine like terms and then isolate the variable a by adding or subtracting terms.