Problem 78
Question
Simplify each algebraic expression. $$3 a+7-11 a$$
Step-by-Step Solution
Verified Answer
The simplified algebraic expression is \(-8a + 7\).
1Step 1: Identify the Like Terms
In the provided algebraic expression, \(3a\) and \(-11a\) are the like terms, because they have the same variable \(a\). Also, \(7\) is a constant.
2Step 2: Simplify the Like Terms
To simplifying the expression, we combine the coefficients of the like terms. That means we combine \(3\) and \(-11\), resulting in \(-8\). Therefore, \(3a - 11a\) simplifies to \(-8a\).
3Step 3: Completion of Simplification
The constant \(7\) remains unchanged, as there are no other constants to combine it with. So, the final simplified expression is \(-8a + 7\).
Other exercises in this chapter
Problem 77
Write each sentence as an equation. Let the variable \(x\) represent the number. Evaluate \(4 x+3(y+5)\) when \(x\) is 1 less than the quotient of \(y\) and 4 a
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Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{2}+\frac{1}{5}$$
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In Exercises \(73-80,\) evaluate each algebraic expression for the given value of the variable. $$-x^{2}-14 x ; x=-1$$
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Find each absolute value. $$|-\sqrt{29}|$$
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