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, 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 first step in solving the equation 4x + 9 = -2x - 15?

Back

The first step is to add 2x to both sides to combine like terms.

Front

What does it mean to combine like terms?

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

Front

How do you solve the equation 4 - 2(x - 3) = 24?

Back

First, distribute -2 to both terms inside the parentheses, then simplify and isolate x.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

The solution is x = -1.

Tags

CCSS.7.EE.B.4A

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 it is correct.

Tags

CCSS.8.EE.C.7B

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

The first step is to subtract 11 from both sides.

Tags

CCSS.7.EE.B.4A

Front

How do you solve for c in the equation 9c - 3c = 48?

Back

Combine like terms to get 6c = 48, then divide both sides by 6 to find c = 8.

Tags

CCSS.7.EE.B.4A

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Tags

CCSS.HSA.REI.A.1