6th Grade Chapter 5 Test Review Algebraic Expressions

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: 6(3n + 3)

Back

18n + 18

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 3x + 2y + 7, the constant is 7.

Front

What does the Commutative Property of Addition state?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, x + 7.5 = 7.5 + x.

Front

Identify the terms, coefficients, and constants in the expression 3r^2 + 4r + 8.

Back

Terms: 3r^2, 4r, 8; Coefficients: 3, 4; Constant: 8.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term. For example, in the term 4r, 4 is the coefficient.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations. For example, 3x + 5 is an algebraic expression.

Front

What is the difference between a term and a factor?

Back

A term is a single mathematical expression, while a factor is a number or variable that divides another number or expression evenly.

Front

Solve the expression 28 ÷ 2(a) if a = 2.

Back

28 ÷ 2(2) = 28 ÷ 4 = 7.

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. For example, (a + b) + c = a + (b + c).