Adding and Subtracting Expressions

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 two or more terms inside a set of parentheses.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the result of adding the expressions 2(x + 3) and 3(3x - 2)?

Back

The result is 11x.

Front

What is the result of adding the expressions (2x - 6) and (4x - 4)?

Back

The result is 6x - 10.

Front

How do you find the difference between two expressions?

Back

To find the difference, subtract the second expression from the first, ensuring to distribute the negative sign across the second expression.

Front

What is the result of finding the difference between (8 - u) and (5u + 1)?

Back

The result is -6u + 7.

Front

What is the result of adding the expressions 2(x + 3) and (3x + 1)?

Back

The result is 5x + 7.

Front

What is the result of adding the expressions (x + 4) and (3x + 9)?

Back

The result is 4x + 13.

Front

What does it mean to simplify an algebraic expression?

Back

Simplifying an algebraic expression means to combine like terms and reduce the expression to its simplest form.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.