Solving 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 isolate the variable and solve for its value.

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 first step to solve the equation x/2 = -10?

Back

Multiply both sides of the equation by 2 to eliminate the fraction.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation 4x + 7 = 23?

Back

First, subtract 7 from both sides to get 4x = 16, then divide both sides by 4 to find x = 4.

Tags

CCSS.7.EE.B.4A

Front

How do you solve for k in the equation 3k + 5 = 23?

Back

Subtract 5 from both sides to get 3k = 18, then divide both sides by 3 to find k = 6.

Tags

CCSS.7.EE.B.4A

Front

What is the process to solve n/7 + 5 = -2?

Back

First, subtract 5 from both sides to get n/7 = -7, then multiply both sides by 7 to find n = -49.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 4a + 3 = 15?

Back

Subtract 3 from both sides to get 4a = 12, then divide both sides by 4 to find a = 3.

Tags

CCSS.7.EE.B.4A

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Tags

CCSS.HSA.REI.A.1

Front

Why is it important to keep the equation balanced when solving?

Back

Keeping the equation balanced ensures that both sides remain equal, which is essential for finding the correct solution.

Tags

CCSS.HSA.REI.A.1

Front

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

Back

Checking your solution verifies that the value satisfies the original equation, confirming that it is correct.

Tags

CCSS.8.EE.C.7B