Solving Multistep/Variables on both sides 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

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides of an equation means that the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

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

What is the first step in solving the equation 3(s+2)-s=38?

Back

The first step is to distribute the 3 to both terms inside the parentheses: 3s + 6 - s = 38.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation 4(1-x)+3x=-2(x+1)?

Back

The solution is x = -6.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5

Front

What equation models Cheryl's earnings if she makes $8 per hour and earned $96?

Back

The equation is 8h = 96.

Tags

CCSS.HSA.CED.A.3

Front

What is the value of h in the equation 8h = 96?

Back

The value of h is 12.

Tags

CCSS.6.EE.B.7

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

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Tags

CCSS.8.EE.C.7B