Flashcard: Multi-Step Equations with Variables on Both Sides ****

Front

What is a multi-step equation?

Back

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

Tags

CCSS.8.EE.C.7B

Front

What is the first step in solving the equation 5x + 15 = 10x - 40?

Back

The first step is to get all terms involving the variable on one side and constant terms on the other side. This can be done by subtracting 5x from both sides.

Front

Solve: 5x + 15 = 10x - 40

Back

x = 11

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is alone on one side of the equation, making it easy to determine its value.

Tags

CCSS.7.EE.B.4A

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 each term inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

Solve: 10 + 2n = 8n - 2n + 10

Back

n = 0

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 5x, 5 is the coefficient of x.

Tags

CCSS.6.EE.A.2B

Front

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

Back

Combining like terms simplifies the equation, making it easier to solve by reducing the number of terms.

Tags

CCSS.8.EE.C.7B

Front

Solve: 2(4x - 3) - 8 = 4 + 2x

Back

x = 3

Front

What is the solution to an equation?

Back

The solution to an equation is the value of the variable that makes the equation true.