3.4 Distributive Property & Review

Front

What is the Distributive Property?

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 using the Distributive Property: 5(50 + 6x)

Back

250 + 30x

Front

Evaluate when c = 4, d = 6, and e = 10: 7d

Back

42

Front

Simplify using the Distributive Property: 12(5x − 6y + 3)

Back

60x - 72y + 36

Front

Simplify using the Distributive Property: 8(5z − 4)

Back

40z - 32

Front

Evaluate when c = 4, d = 6, and e = 10: 9(e - 4)

Back

54

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.

Front

What is a variable?

Back

A variable is a symbol (often a letter) that represents an unknown value in mathematics.

Front

What is the purpose of parentheses in mathematical expressions?

Back

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