Order of Operations

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ACT Math › Order of Operations

Questions 1 - 10

1

Evaluate:

–1 + 2 * –3

–3

5

–7

7

3

Explanation

First you perform multiplication 2 * –3 = –6

Then you add –1 which gives you -7.

2

Evaluate:

–1 + 2 * –3

–3

5

–7

7

3

Explanation

First you perform multiplication 2 * –3 = –6

Then you add –1 which gives you -7.

3

Solve the following equation:

(9 + 1) * (42 + 2) * (72 + 1) / 2 = ?

4500

39

1014.5

9000

1500

Explanation

Order of operations: "PEMDAS” or "Please Excuse My Dear Aunt Sally"

"Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".

(9 + 1) * (42 + 2) * (72 + 1) / 2 =

(10) * (16 + 2) * (49 + 1) / 2 =

(10) * (18) * (50) / 2 =

9000/2 = 4500

4

Solve the following equation:

(9 + 1) * (42 + 2) * (72 + 1) / 2 = ?

4500

39

1014.5

9000

1500

Explanation

Order of operations: "PEMDAS” or "Please Excuse My Dear Aunt Sally"

"Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".

(9 + 1) * (42 + 2) * (72 + 1) / 2 =

(10) * (16 + 2) * (49 + 1) / 2 =

(10) * (18) * (50) / 2 =

9000/2 = 4500

5

Find the value of the following expression:

Explanation

To correctly solve this expression, you must follow the correct order of operations: Parentheses- ,

Exponents-,

Multplication/ Division-,

and Addition/Subtraction-.

6

Find the value of the following expression:

Explanation

To correctly solve this expression, you must follow the correct order of operations: Parentheses- ,

Exponents-,

Multplication/ Division-,

and Addition/Subtraction-.

7

Find the value of the following expression:

$\frac{(4*(8+2))^2}{10}-20$

Explanation

To correctly solve this expression, you must follow the correct order of operations:

Parentheses (starting with parenthesis inside other parenthesis)-

$\frac{(4*(8+2))^2}{10}-20=\frac{(4*(10))^2}{10}-20=\frac{(40)^2}{10}-20$ ,

Exponents-

$\frac{(40)^2}{10}-20=\frac{1600}{10}-20$ ,

Multplication/ Division-

$\frac{1600}{10}-20= 160-20$ ,

and Addition/Subtraction-

.

8

Find the value of the following expression:

$\frac{(4*(8+2))^2}{10}-20$

Explanation

To correctly solve this expression, you must follow the correct order of operations:

Parentheses (starting with parenthesis inside other parenthesis)-

$\frac{(4*(8+2))^2}{10}-20=\frac{(4*(10))^2}{10}-20=\frac{(40)^2}{10}-20$ ,

Exponents-

$\frac{(40)^2}{10}-20=\frac{1600}{10}-20$ ,

Multplication/ Division-

$\frac{1600}{10}-20= 160-20$ ,

and Addition/Subtraction-

.

9

$-2 + 8/2 + (6 - 3) + 2^{0}=?$

Explanation

This is an order of operations, PEMDAS problem. PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction.

First we evaluate the parentheses. .

Then, we evaluate the exponent. , since everything raised to the zeroth power equals .

Then, we do the division. $\frac{8}{2}=4$

Lastly, we add the .

Putting it all together, we have .

10

$-2 + 8/2 + (6 - 3) + 2^{0}=?$

Explanation

This is an order of operations, PEMDAS problem. PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction.

First we evaluate the parentheses. .

Then, we evaluate the exponent. , since everything raised to the zeroth power equals .

Then, we do the division. $\frac{8}{2}=4$

Lastly, we add the .

Putting it all together, we have .

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