Distributive Property and Simplifying Expressions

Front

What are Like Terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined through addition or subtraction.

Front

Simplify: -1x + y - z + 10z + 2x - 10y

Back

1x - 9y + 9z

Front

What is a constant in an expression?

Back

A constant is a term in an expression that does not contain any variables. For example, in 5g^3 + 2, the constant is 2.

Front

Simplify: 11m - 8 - 12 + 10m

Back

21m - 20

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 6f^2 - 9, the coefficient is 6.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify: 3(2x + 4)

Back

6x + 12

Front

What are expressions in mathematics?

Back

Expressions are combinations of numbers, variables, and operators (like +, -, *, /) that represent a value.

Front

What does it mean to simplify an expression?

Back

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

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.