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: 3(7 + 11x)

Back

21 + 33x

Front

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

Back

60x - 72y + 36

Front

What does it mean to evaluate an expression?

Back

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

Front

Evaluate when c = 4, d = 6, and e = 10: 3e - c

Back

26

Front

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

Back

250 + 30x

Front

Simplify using the Distributive Property: 7(11a + 10b − 1)

Back

77a + 70b - 7

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 an expression?

Back

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