Combining like-terms and distributive property

Front

What is the process of combining like terms in an algebraic expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This simplifies the expression.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

Simplify the expression: 3y + 4y + 6y.

Back

The simplified expression is 13y.

Front

What is the result of simplifying the expression: 7v + 2 + 12 + 2v?

Back

The result is 9v + 14.

Front

Which of the following is a correct evaluation of an exponent: 3², 5³, 8², 4³?

Back

The correct evaluations are 8²=64 and 4³=64.

Front

How do you simplify the expression 5(2 - 7n)?

Back

You apply the distributive property: 5*2 - 5*7n = 10 - 35n.

Front

What is the first step in solving the expression (4 - 2) x 9 + 7?

Back

The first step is to perform the operation inside the parentheses: (4 - 2) = 2.

Front

What is the second step in solving the expression (4 - 2) x 9 + 7?

Back

The second step is multiplication: 2 x 9 = 18.

Front

What is the final step in solving the expression (4 - 2) x 9 + 7?

Back

The final step is to add: 18 + 7 = 25.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.