Numeric and Algebraic Expressions

Front

What is a numeric expression?

Back

A numeric expression is a mathematical phrase that includes numbers and operations (such as addition, subtraction, multiplication, and division) but does not include variables.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operations. For example, 3x + 4 is an algebraic expression.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with numbers and performing the operations.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

Front

Translate: 5 less than a number x.

Back

x - 5

Front

Translate: The product of 7 and a number n.

Back

7n

Front

What is the order of operations?

Back

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

Front

Evaluate: 2(3 + 4).

Back

14

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. In the expression 5x, 5 is the coefficient.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.