Distributive Property/ Factoring

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 using the Distributive Property: 3(2x + 4)

Back

6x + 12

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

Front

Factor the expression: x^2 + 5x + 6

Back

(x + 2)(x + 3)

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the constant factor that relates the two variables x and y in a proportional relationship.

Front

If a negative number is multiplied by a negative number, what is the result?

Back

The result is a positive number.

Front

Use the Distributive Property to simplify: -4(3n + 2)

Back

-12n - 8

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to understand or solve.

Front

Solve for n: 2n + 3 = 11

Back

n = 4

Front

What is the result of 5 - n = 34?

Back

n = -29