Simplifying Algebraic Expressions

Front

What is the process of combining like terms in an algebraic expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression: 9x² + 14x - x² + 6x

Back

8x² + 20x

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent, allowing them to be combined.

Front

Which expression is equivalent to 3x + ½(-12x - 16)?

Back

-3x - 8

Front

Simplify the expression: 8a + 4b + 2c - 3b + a

Back

9a + b + 2c

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify the expression: 6(2a + 5b) + 3(a - 8b)

Back

15a + 6b

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing operations.

Front

What is the difference between an equation and an expression?

Back

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