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, often involving operations such as addition, subtraction, multiplication, and division.

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 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 combine like terms in an equation?

Back

You combine like terms by adding or subtracting coefficients of terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is the first step in solving the equation 3x + 2(4x - 4) = 3?

Back

The first step is to apply the distributive property to simplify the equation.

Tags

CCSS.8.EE.C.7B

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation 4 - 2(x - 3) = 24?

Back

The solution is x = -7.

Tags

CCSS.7.EE.B.4A

Front

How do you handle equations with parentheses?

Back

You use the distributive property to eliminate parentheses before combining like terms and isolating the variable.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

The solution is v = 10.

Tags

CCSS.8.EE.C.7B

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.

Tags

CCSS.8.EE.C.7B