Algebraic Expression Simplification Flashcard

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division).

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and perform any operations to make the expression as simple as possible.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

Simplify the expression: -2(-5 - 9g) + 7g

Back

25g + 10

Front

Simplify: 6y + 7 - 3y + 3

Back

3y + 10

Front

Simplify the expression: 9 - 7 + 8c - 4c

Back

2 + 4c

Front

Simplify the expression: 9 + 7k + 3k

Back

10k + 9

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, the number 5 is a constant.