Question

for problems 8–10, evaluate.

1. $312 - (4 + 1)$

1. $4 cdot |9 - 5| + 6$

1. $2 + \frac{20 - 3^2}{5 + 6}$

Explanation:

Step1: Evaluate innermost parentheses

$4+1=5$

Step2: Subtract inside brackets

$12-5=7$

Step3: Multiply by outer coefficient

$3\times7=21$

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Step1: Calculate absolute value

$|9-5|=|4|=4$

Step2: Multiply, then add

$4\times4+6=16+6=22$

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Step1: Compute exponents

$3^2=9$

Step2: Simplify numerator/denominator

$20-9=11$, $5+6=11$

Step3: Divide, then add

$2+\frac{11}{11}=2+1=3$

Answer:

1. $21$
2. $22$
3. $3$