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

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

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Tags

CCSS.7.EE.B.4A

Front

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

Back

x = 2

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 2(5x + 4) - 3(2x - 1) = 10?

Back

Distribute the numbers outside the parentheses: 10x + 8 - 6x + 3 = 10.

Tags

CCSS.8.EE.C.7B

Front

Solve the equation: 3(2x - 1) - 4 = 11

Back

x = 3

Tags

CCSS.7.EE.B.4A

Front

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

Back

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

Tags

CCSS.8.EE.C.7B

Front

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

Back

x = 7/3

Tags

CCSS.7.EE.B.4A

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

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

Back

x = 1.5

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 parentheses.

Tags

CCSS.6.EE.A.3