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 value.

Front

Evaluate: 10 + 2p - 3r when p = 4 and r = 5.

Back

3

Front

What is the formula for squaring a binomial?

Back

The formula for squaring a binomial (a + b) is (a + b)² = a² + 2ab + b².

Front

Evaluate: (y + z)² when y = 5 and z = 2.

Back

49

Front

What is the order of operations in mathematics?

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.

Front

Evaluate: bc + 5a when a = 3, b = 4, and c = 6.

Back

39

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 expression or equation.

Front

Evaluate: 2(a - 5) + 2 when a = 15.

Back

22

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.