Question 1

Evaluate the following expression using the correct order of operations: $$ (15 + 5) + (26 - 6^2$) + 3^2$ $$

Accepted Answer

$$ 10 $$

Question 2

Which of the following is the correct value for $$ 6(2 + 18 - 9) + (3 	imes 4)^2$ $$?

Accepted Answer

$$ 162 $$

Question 3

Solve: $$ [(3 + 2)^2$ + (10 + 1)] \div 2 $$

Accepted Answer

$$ 18.5 $$

Question 4

Evaluate: $$ [-12 \div (-4)] 	imes [14 + (15 - 3)] $$

Accepted Answer

$$ 36 $$

Question 5

What is the result of $$ (6 	imes 7) + 26 \div 12 - 5 $$?

Accepted Answer

$$ 39.17 $$

Question 6

Calculate: $$ 5 + [3 	imes (35 + 7)] $$

Accepted Answer

$$ 116 $$

Question 7

Find the value of $$ 15 \div 5 + (36 \div 12)^4$ $$

Accepted Answer

$$ 19 $$

Question 8

Evaluate: $$ 8(5^2$ + 15) - (7 + 13) $$

Accepted Answer

$$ 232 $$

Question 9

Solve: $$ [9 	imes 4) - 12] + 5 - 4^2$ $$

Accepted Answer

$$ 17 $$

Question 10

What is the value of $$ 3[(9 + 14) - (81 \div 9)] $$?

Accepted Answer

$$ 57 $$

Question 11

A pharmacist needs to mix two solutions. The first solution contains $$ 15  mg of a $$drug, and the second contains $$ 5  mg. If $$the pharmacist adds $$ 3^2$  mg $$more, what is the total amount of drug in mg?

Accepted Answer

$$ 29 $$

Question 12

A chef is preparing a recipe that requires $$ (6 	imes 4) + (8 \div 2) $$ grams of sugar. How much sugar is needed?

Accepted Answer

$$ 32 $$

Question 13

A student calculates $$ 2^3$ + 5 	imes 2 $$ for a physics problem. What is the correct answer?

Accepted Answer

$$ 16 $$

Question 14

A contractor needs to cut $$ 36 $$ meters of wood into $$ 12 $$ equal pieces. How long is each piece?

Accepted Answer

$$ 3 $$

Question 15

A biologist observes $$ 8 $$ groups of $$ 5 $$ birds each, and then $$ 15 $$ more birds join. How many birds are there in total?

Accepted Answer

$$ 55 $$

Order of Operations (Advanced) – Step-by-Step Guidance

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