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 (like +, -, ×, ÷).

Front

How do you evaluate an algebraic expression?

Back

To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the operations according to the order of operations.

Front

What does the order of operations refer to?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: 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 x = 1 and y = 1: (y + x) ÷ 2

Back

1

Front

Evaluate the expression for x = 9 and y = 10: x + y + y

Back

29

Front

Evaluate the expression for x = 6, y = 8, and z = 6: z⋅(x + y)

Back

84

Front

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

Back

7

Front

Evaluate the expression for m = 9 and p = 3: p³ + 10 + m

Back

46

Front

What is a variable in algebra?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation.

Front

What is a constant in algebra?

Back

A constant is a fixed value that does not change, such as numbers like 5, -3, or 0.