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, 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 in solving the equation 4 = 2(x + 3)?

Back

The first step is to distribute the 2 on the right side, resulting in 4 = 2x + 6.

Tags

CCSS.7.EE.B.4A

Front

How do you solve the equation 6(2n + 5) = 66?

Back

First, divide both sides by 6 to get 2n + 5 = 11, then subtract 5 from both sides to find 2n = 6, and finally divide by 2 to get n = 3.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 4x - 3 = 17?

Back

Add 3 to both sides to get 4x = 20, then divide by 4 to find x = 5.

Tags

CCSS.7.EE.B.4A

Front

How do you simplify the equation -2v + v = 3?

Back

Combine like terms to get -v = 3, then multiply by -1 to find v = -3.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation x + 2 + 6 = 8?

Back

Combine like terms to get x + 8 = 8, then subtract 8 from both sides to find x = 0.

Tags

CCSS.6.EE.B.7

Front

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

Back

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

Tags

CCSS.8.EE.C.7B

Front

What are inverse operations?

Back

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

Tags

CCSS.HSA.REI.A.1

Front

What does it mean to 'combine like terms' in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1