Equivalent Expressions and Properties

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even if it looks different.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which you add or multiply numbers does not change the result. For example, a + b = b + a.

Front

What is the Associative Property?

Back

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

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression easier to understand.

Front

What is a term in an expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an expression. For example, in 5x, 5 is the coefficient.

Front

What is a variable?

Back

A variable is a symbol, usually a letter, that represents an unknown number in an expression or equation.

Front

What is the value of 5(y + 2) + 4 when y = 3?

Back

The value is 5(3 + 2) + 4 = 5(5) + 4 = 25 + 4 = 29.

Front

What is the value of 8(6x - 4) when x = 2?

Back

The value is 8(6(2) - 4) = 8(12 - 4) = 8(8) = 64.