Algebra 1: Distributive Property
Introduction
The distributive property is a fundamental algebraic concept used to simplify expressions. It states that multiplying a number by a sum or difference can be done by multiplying each term inside the parentheses individually and then adding or subtracting the results.
Mathematically, the distributive property can be written as: a(b + c) = ab + ac or a(b - c) = ab - ac.
Examples
Example 1
Simplify the expression: 3(x + 4)
Apply the distributive property: 3 * x + 3 * 4
The simplified expression is: 3x + 12
Example 2
Simplify the expression: 2(5 - y)
Apply the distributive property: 2 * 5 - 2 * y
The simplified expression is: 10 - 2y
Exercises
Exercise 1
Simplify the expression: 4(a + 3)
Apply the distributive property: 4 * a + 4 * 3
The simplified expression is: 4a + 12
Exercise 2
Simplify the expression: 7(2 - b)
Apply the distributive property: 7 * 2 - 7 * b
The simplified expression is: 14 - 7b
Contact Us
For more help with algebra and other math topics, visit our website at Luna Learn 24!
0 Comments