Pre-Alg 1.2-4 Algebraic Expressions+Operations+Properties

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does the term 'variable' mean in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is a variable.

Front

What is the value of the expression 2a + 3 when a = 4?

Back

The value is 2(4) + 3 = 8 + 3 = 11.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 7 x 1 = 7.

Front

What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by 0 equals 0. For example, 5 x 0 = 0.

Front

How do you express 'the number h decreased by eight' in algebraic form?

Back

It is expressed as h - 8.

Front

How do you express 'twenty increased by x' in algebraic form?

Back

It is expressed as 20 + x.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 5 = 5 + 3.

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, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules for evaluating expressions: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered as PEMDAS.