Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations such as 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, perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.6.EE.B.7

Front

Solve for k: 4 + k/2 = -3

Back

k = -14

Tags

CCSS.7.EE.B.4A

Front

Combine like terms: 3a + 9 + 4a = 2

Back

a = -1

Tags

CCSS.8.EE.C.7B

Front

Solve for x: 4 - 2(x - 3) = 24

Back

x = -7

Tags

CCSS.7.EE.B.4A

Front

Identify the error: 120 = -4(7a+2) leads to 120 = -28a - 8.

Back

The error is in Step 2: 120 should equal -28a + 8, not -28a - 8.

Tags

CCSS.HSA.REI.A.1

Front

What is the first step in solving the equation 3y + 4y + 6 = 20?

Back

Combine like terms to get 7y + 6 = 20.

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 3y + 4y + 6 = 20?

Back

y = 2

Tags

CCSS.8.EE.C.7B

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to the variable, helping to isolate it.

Tags

CCSS.7.EE.B.4A