9/26) eLearning: Simplifying Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operations (such as 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 reduce it to its simplest form.

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

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

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: 5 + 7p^2 - (2p^4 - 3)

Back

-2p^4 + 7p^2 + 8.

Front

Simplify: -8(5b + 2) - 7(b - 5)

Back

-47b - 19.

Front

Simplify: 19 - (3 - 5b)

Back

16 + 5b.

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, 5 is the constant.