Adding and Subtracting Linear Expressions

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: 2(x + 3) + (3x + 1)

Back

5x + 7

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify: 2(x + 3) + 3(3x - 2)

Back

11x

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable.

Front

Simplify: 2(x + 3) + -5(3x - 6)

Back

-13x + 36

Front

What is the result of subtracting a negative expression?

Back

Subtracting a negative expression is the same as adding the positive of that expression.

Front

Simplify: (10j - 7) - (-9j + 2)

Back

19j - 9

Front

What is the coefficient in the expression 5x + 3?

Back

The coefficient is 5, which is the number multiplying the variable x.

Front

Simplify: (-8x + 1) – (8x – 1)

Back

-16x + 2