Evaluate the expression for q = -1. 13q + 20 + 9q =

Understand the Problem

The question is asking to evaluate the expression 13q + 20 + 9q for the value of q = -1. We will substitute -1 into the expression and simplify it.

Answer

The result of the expression is $ -2 $.

Steps to Solve

Substitute the value of ( q )

Replace ( q ) in the expression ( 13q + 20 + 9q ) with ( -1 ):

$$ 13(-1) + 20 + 9(-1) $$

Calculate each term

Now, calculate the individual terms in the expression:

( 13(-1) = -13 )
( 20 ) remains ( 20 )
( 9(-1) = -9 )

So, we have:

$$ -13 + 20 - 9 $$

Combine the terms

Add the results together:

First, combine ( -13 ) and ( 20 ):

$$ -13 + 20 = 7 $$

Then subtract ( 9 ):

$$ 7 - 9 = -2 $$

The final answer is ( -2 ).

More Information

When evaluating expressions, substituting values and simplifying correctly is crucial to obtaining the right result. This problem illustrates how straightforward algebraic evaluation can involve careful arithmetic.

Tips

Forgetting to substitute correctly: Always ensure that ( q ) is replaced accurately before simplifying.
Miscalculating simple arithmetic: Double-check addition and subtraction, as these are common sources of error.

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