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. It does not have an equality sign.

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 arithmetic operations.

Front

What does it mean to substitute a value in an expression?

Back

Substituting a value means replacing a variable in an expression with a specific number.

Front

Evaluate the expression c - 9 when c = 16.

Back

7

Front

Evaluate the expression xy - 5 when x = 5 and y = 2.

Back

5

Front

What is the result of evaluating 2x + x^2 for x = 3?

Back

15

Front

Evaluate b^2 when b = 4.

Back

16

Front

How do you evaluate the expression 3b + 2d when a = 1, b = 3, d = 2?

Back

Substitute the values into the expression: 3(3) + 2(2) = 9 + 4 = 13.

Front

What is the difference between a variable and a constant in algebra?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value that does not change.

Front

What is the order of operations in evaluating expressions?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.