Simplifying Algebraic Expressions

Front

What is the process of simplifying an algebraic expression?

Back

The process of simplifying an algebraic expression involves combining like terms, applying the distributive property, and reducing the expression to its simplest form.

Front

What does it mean to combine like terms in an algebraic expression?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you simplify the expression 2(c - 8)?

Back

By applying the distributive property: 2(c - 8) = 2c - 16.

Front

What is a constant in algebra?

Back

A constant is a number that does not change and does not have a variable attached to it.

Front

How do you simplify the expression 6 + 2(7x - 3)?

Back

By applying the distributive property: 6 + 2(7x - 3) = 6 + 14x - 6 = 14x.

Front

What is the result of simplifying the expression 17 + 7h - 19 + 14h?

Back

The result is 21h - 2.

Front

How do you simplify the expression -r - 10r?

Back

By combining like terms: -r - 10r = -11r.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value that does not change.

Front

What is the first step in simplifying an algebraic expression?

Back

The first step is to identify and group like terms.