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

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 it mean to substitute in algebra?

Back

Substituting in algebra means replacing a variable with a specific value to simplify or evaluate an expression.

Front

What is the order of operations in mathematics?

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 remembered by the acronym PEMDAS.

Front

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

Back

29

Front

Evaluate the expression for y = 10 and z = 2: y − (z + z²)

Back

4

Front

Evaluate the expression for x = 7 and y = 7: y² − x

Back

42

Front

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

Back

11

Front

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

Back

1

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.