Problem 23
Question
Use an associative property to rewrite each algebraic expression. Once the grouping has been changed, simplify the resulting algebraic expression. $$7+(5+x)$$
Step-by-Step Solution
Verified Answer
The rewritten and simplified algebraic expression, using the associative property, is 12 + x.
1Step 1: Apply associative property
Rearrange the terms using the associative property, which allows to change the grouping. The expression 7 + (5 + x) can be written as: (7 + 5) + x.
2Step 2: Simplify
Now, simplify the expression (7 + 5) + x. Calculate the sum of 7 and 5, which is 12. So, the equation becomes: 12 + x.
Other exercises in this chapter
Problem 23
In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$27 x^{3}-26 x^{3}$$
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perform the indicated multiplication. $$(-5)(-2)(3)$$
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Find each sum without the use of a number line. $$12+(-8)$$
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Express each rational number as a decimal. $$\frac{7}{20}$$
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