Simplifying Expressions

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped when adding does not change their sum. For example, (a + b) + c = a + (b + c).

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 9 x 1 = 9.

Front

What is a variable in mathematics?

Back

A variable is a letter or symbol that represents an unknown number or value, such as x or y.

Front

How do you simplify the expression (x + 5) + (2x + 10)?

Back

The simplified expression is 3x + 15.

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 is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

What is the difference between a coefficient and a constant?

Back

A coefficient is a number that multiplies a variable (e.g., in 3x, 3 is the coefficient), while a constant is a fixed value that does not change (e.g., in 5, 5 is a constant).

Front

What expression represents '7 more than triple a number'?

Back

The expression is 3x + 7.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, a x b = b x a.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, such as 3x or 5.