Evaluating Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3 is an algebraic expression.

Front

What does it mean to evaluate an algebraic expression?

Back

To evaluate an algebraic expression means to substitute the values of the variables into the expression and perform the operations to find a numerical result.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

Evaluate the expression for a = 5 and b = 1: (a² − b) ÷ 6

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4

Front

Evaluate the expression for y = 3 and z = 7: z − (y ÷ 3 − 1)

Back

7

Front

Evaluate the expression for m = 1 and p = 5: m + p ÷ 5

Back

2

Front

Evaluate the expression for x = 1 and y = 1: (y + x) ÷ 2

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1

Front

Evaluate the expression for x = 1 and y = 3: y + 9 − x

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11

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an algebraic expression. For example, in the expression 3x + 2, 'x' is the variable.

Front

What is a constant in an algebraic expression?

Back

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