Chapter 5 Test Expressions and Properties

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

Simplify the expression: 4(2 + 5) using the Distributive Property.

Back

4(2 + 5) = 4 x 2 + 4 x 5 = 8 + 20 = 28.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 7h, 7 is the coefficient.

Front

Evaluate the expression: 3x + 4 when x = 2.

Back

3(2) + 4 = 6 + 4 = 10.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in addition does not change their sum. For example, (a + b) + c = a + (b + c).

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, a x b = b x a.

Front

Simplify the expression: 6(x + 3).

Back

6(x + 3) = 6x + 18.

Front

What is the value of the expression 5a + 2 when a = 3?

Back

5(3) + 2 = 15 + 2 = 17.

Front

Identify the property used: 7 + (3 + 2) = (7 + 3) + 2.

Back

This is an example of the Associative Property of Addition.

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.