Problem 13
Question
Use the commutative property of addition to write an equivalent algebraic expression. $$5(x+3)$$
Step-by-Step Solution
Verified Answer
The equivalent algebraic expression for \(5(x+3)\) using the commutative property of addition is \(15 + 5x\).
1Step 1: Distribute the multiplication over addition
Firstly, apply the distributive property of multiplication over addition. That is, multiply each term inside the parentheses by 5. Therefore, \(5(x + 3)\) becomes \(5x + 15\).
2Step 2: Applying the Commutative Property of Addition
The commutative property of addition implies that you can change the order of addition without changing the result. Apply this property to the expression \(5x + 15\) to get an equivalent expression, \(15 + 5x\).
Other exercises in this chapter
Problem 13
perform the indicated multiplication. $$\left(-\frac{3}{4}\right)(-12)$$
View solution Problem 13
In Exercises \(1-14\), evaluate each exponential expression. $$-10^{2}$$
View solution Problem 13
Start by drawing a number line that shows integers from \(-5\) to \(5 .\) Then graph each real number on your number line. $$3 \frac{1}{2}$$
View solution Problem 13
Find each sum without the use of a number line. $$-30+(-30)$$
View solution