Solving Multistep Equations with Variables on One Side

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Tags

CCSS.7.EE.B.4A

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

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

Solve the equation: 5(2x + 1) - 3 = 22

Back

x = 2

Tags

CCSS.7.EE.B.4A

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

Solve the equation: 6(3x - 2) - 4 = 26

Back

x = 7/3

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 4(3x - 2) + 5 = 23?

Back

The first step is to distribute the 4 to both terms inside the parentheses.

Tags

CCSS.7.EE.B.4A

Front

Solve the equation: 4(3x - 2) + 5 = 23

Back

x = 13/6

Tags

CCSS.7.EE.B.4A

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Tags

CCSS.8.EE.C.7B

Front

Solve the equation: 5(3x + 2) + 1 = 36

Back

x = 5/3

Tags

CCSS.7.EE.B.4A