Question

identify the number of terms.
$20 \div (-4) + 3 \cdot 4 - (-9)$
______ term(s)
simplify using the order-of-operations agreement.
______
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identify the number of terms.
$9 \cdot 4 \div (-6) - (-17) + 8 \cdot 2$
______ term(s)
simplify using the order-of-operations agreement.
______

Explanation:

Step1: Count terms for first expression

Terms are separated by +/-. The expression $20 \div (-4) + 3 \cdot 4 - (-9)$ has 3 terms: $20 \div (-4)$, $3 \cdot 4$, $-(-9)$.

Step2: Simplify first expression (PEMDAS)

First compute division/multiplication:
$20 \div (-4) = -5$, $3 \cdot 4 = 12$, $-(-9) = 9$
Now combine terms: $-5 + 12 + 9$

Step3: Calculate first expression sum

$-5 + 12 = 7$, $7 + 9 = 16$

Step4: Count terms for second expression

Terms are separated by +/-. The expression $9 \cdot 4 \div (-6) - (-17) + 8 \cdot 2$ has 3 terms: $9 \cdot 4 \div (-6)$, $-(-17)$, $8 \cdot 2$.

Step5: Simplify second expression (PEMDAS)

First compute multiplication/division:
$9 \cdot 4 = 36$, $36 \div (-6) = -6$, $-(-17) = 17$, $8 \cdot 2 = 16$
Now combine terms: $-6 + 17 + 16$

Step6: Calculate second expression sum

$-6 + 17 = 11$, $11 + 16 = 27$

Answer:

First problem:
Number of terms: 3
Simplified value: 16

Second problem:
Number of terms: 3
Simplified value: 27