Algebraic Expressions and Properties Unit 5

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 expression?

Back

To evaluate an 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 factor an expression?

Back

Factoring an expression means to rewrite it as a product of its factors, which are expressions that can be multiplied together to obtain the original expression.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

Front

What is the order of operations?

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

How do you simplify an algebraic expression?

Back

To simplify an algebraic expression, combine like terms and use the distributive property to eliminate parentheses.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.