Multi-Step Equations Error Analysis

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Tags

CCSS.8.EE.C.7B

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you check if a 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 is a common denominator?

Back

A common multiple of the denominators of two or more fractions, used to combine or compare fractions.

Front

What is the first step in solving the equation 1/5x + 6 = 3/5x + 5?

Back

Multiply all terms by the common denominator (5) to eliminate the fractions.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that will make the equation true.

Tags

CCSS.8.EE.C.7A

Front

What is an identity in terms of equations?

Back

An equation that is true for all values of the variable, such as 2x + 3 = 2x + 3.

Tags

CCSS.8.EE.C.7A

Front

What is the process of combining like terms?

Back

Adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is the opposite operation of addition?

Back

Subtraction.

Tags

CCSS.6.NS.B.3