Problem 11
Question
Use the commutative property of addition to write an equivalent algebraic expression. $$4 x+5 y$$
Step-by-Step Solution
Verified Answer
The equivalent algebraic expression to \(4x + 5y\) using the commutative property of addition would therefore be \(5y + 4x\).
1Step 1: Identify the Commutative Property of Addition
By understanding the commutative property of addition, it is known that the locations of the elements may be swapped. This property states that changing the order of the addends does not affect the sum. In terms of algebraic expressions, \(a + b\) is equivalent to \(b + a\).
2Step 2: Apply the Commutative Property to the Expression
In this case, apply the commutative property to the algebraic expression \(4x + 5y\) by swapping the positions of \(4x\) and \(5y\).
Other exercises in this chapter
Problem 11
perform the indicated multiplication. $$\frac{1}{2}(-24)$$
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Start by drawing a number line that shows integers from \(-5\) to \(5 .\) Then graph each real number on your number line. $$-5$$
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Find each sum without the use of a number line. $$30+(-30)$$
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Evaluate each expression for \(x=4\). $$2(x+5)$$
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