Unit 1 Flashcard Review

Front

What is the distributive property in mathematics?

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

How do you simplify the expression 8(y + 2) - (3y - 6)?

Back

First, distribute: 8y + 16 - 3y + 6 = 5y + 22. Therefore, the expression simplifies to 5y + 22.

Front

Back

Substituting -2 for x: 4(-2)^2 - 6 = 4(4) - 6 = 16 - 6 = 10.

Front

What is the greatest common factor (GCF) of 36x and 8?

Back

The GCF is 4. You can factor 36x + 8 as 4(9x + 2).

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors, which can be numbers, variables, or both.

Front

Back

The quotient simplifies to 3x - 9.

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped does not change their sum: (a + b) + c = a + (b + c).

Front

What is the commutative property of addition?

Back

The commutative property of addition states that changing the order of the addends does not change the sum: a + b = b + a.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as 3x + 4 or x^2 - 5.

Front

How do you apply the distributive property to the expression 7(2x + 1)?

Back

Using the distributive property: 7(2x) + 7(1) = 14x + 7.