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 the expression: 2(x + 3) + 3(3x - 2)

Back

11x

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

Simplify the expression: (−x + 8) + (−5x − 1)

Back

−6x + 7

Front

What is the perimeter of a figure?

Back

The perimeter is the total distance around a two-dimensional shape, calculated by adding the lengths of all its sides.

Front

Write an expression for the perimeter of a rectangle with length a and width b.

Back

Perimeter = 2a + 2b.

Front

Simplify the expression: (5x - 6) - (x + 2)

Back

4x - 8

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 the expression: (3w - 8) + (-6w - 4)

Back

-3w - 12

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression, representing how many times the variable is multiplied.