11/20 7th ACE Distribute and Combine

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify: 8x + 3(7x - 6)

Back

29x - 18

Front

What does it mean to combine like terms?

Back

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

Front

Simplify: -4(-2a + 5)

Back

8a - 20

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

Simplify: 5(2 - 7n)

Back

10 - 35n

Front

What is the result of combining -4x and -10x?

Back

-14x

Front

Simplify: 7(y - 3)

Back

7y - 21

Front

What is the purpose of parentheses in algebra?

Back

Parentheses indicate which operations should be performed first in an expression.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.