Unit 4 Flashcard Review

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

What does the expression 2(9 + 6) represent using the Distributive Property?

Back

2(9 + 6) = 2(9) + 2(6)

Front

What is a prime factorization?

Back

Prime factorization is expressing a number as the product of its prime factors.

Front

Can 7 x 5 x 4 x 2² be a prime factorization?

Back

No, because it includes composite numbers (like 4) and is not expressed solely in terms of prime numbers.

Front

How do you evaluate an expression?

Back

To evaluate an expression, substitute the variable with a given number and perform the operations.

Front

Evaluate -9z + 19 when z = 2.

Back

-9(2) + 19 = -18 + 19 = 1.

Front

What is a variable in mathematics?

Back

A variable is a symbol (like x or z) that represents an unknown value.

Front

What does the expression 4 - x represent?

Back

It represents a value that decreases as x increases.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations.

Front

What does the expression 8 - 2x represent graphically?

Back

It represents a linear equation where the slope is -2 and the y-intercept is 8.