Solving Equations with the Distributive Property

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

Solve the equation: 3(x + 2) = 15

Back

x = 3

Front

Solve the equation: 3(x - 2) = 18

Back

x = 8

Front

Solve the equation: 4(x + 2) = 16

Back

x = 2

Front

What is the simplified version of the expression: -4(8r + 3)?

Back

-32r - 12

Front

Solve the equation: -4(8 + 5n) = 8

Back

n = -2

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating parentheses where possible.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What is the first step in solving an equation using the Distributive Property?

Back

The first step is to apply the Distributive Property to eliminate parentheses by multiplying the term outside the parentheses by each term inside.

Front

If 2(x + 5) = 20, what is the value of x?

Back

x = 5