Linear Expressions Review

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

Front

How do you distribute in algebra?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses. For example, in 5(3x - 4), you multiply 5 by 3x and 5 by -4.

Front

What is the result of distributing 8(3x + 6)?

Back

24x + 48.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms?

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 simplified form of 77x + 67y - 15x - 30y?

Back

62x + 37y.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting the coefficients of terms that have the same variable. For example, 3x + 5x = 8x.

Front

What is the result of simplifying n - 10 + 9n - 3?

Back

10n - 13.

Front

What is the result of (3x + 12) + 7x?

Back

10x + 12.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.