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

How do you isolate a variable in an equation?

Back

To isolate a variable, you 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. It allows you to multiply a single term by each term inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

Solve for x: 15x - 37 = 38

Back

x = 5.

Tags

CCSS.7.EE.B.4A

Front

What is the first step to solve the equation 22 + 2a = 37 + 6 + a?

Back

Combine like terms on the right side to simplify the equation.

Front

Solve for a: 2a + 22 = 43

Back

a = 10.5.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4.

Tags

CCSS.8.EE.C.7B

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5

Front

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

Back

x = 1.

Tags

CCSS.8.EE.C.7B