Distributive and combine like terms

Front

What are variables in an expression?

Back

Variables are symbols (like x, y, or z) that represent unknown values in mathematical expressions.

Front

What is a coefficient?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change, such as -10 in the expression y + 5x - 10.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Simplify the expression: 5x + 3x.

Back

8x.

Front

Simplify the expression: 4y - 2y + 7.

Back

2y + 7.

Front

Use the Distributive Property to simplify: 3(2x + 4).

Back

6x + 12.

Front

What is the result of applying the Distributive Property to -2(x + y)?

Back

-2x - 2y.

Front

Combine like terms: 7a + 3b - 2a + 5b.

Back

5a + 8b.