# SAT Math : How to find order of operations

## Example Questions

### Example Question #11 : Order Of Operations

Evaluate (√4 + √4)2

40

8

6

4

16

16

Explanation:

The square root of 4 is 2.  2 + 2 = 4.  Four squared is 16.

### Example Question #12 : Order Of Operations

(11)(4 – 3)– (2+ 6) = ?

111

24

–53

2

1

1

Explanation:

The correct order of operations is parenthesis, exponents, multiplication and division, then addition and subraction.

(11) * (4 – 3)– (2+ 6)

(11) * (1)– (4 + 6)

(11) * (1) – (10)

(11) – (10) = 1

### Example Question #11 : Arithmetic

If (x – 7)= 64, what is x?

15

–1

1

–15

15

Explanation:

Solving for x yields 15.

√64 = 8, so we want x – 7 = 8; add 7 to both sides of the equation, so that x = 15

### Example Question #14 : Order Of Operations

7 more than a number squared is 71. What is the number?

7

8

9

64

8

Explanation:

Subtracting the 7 yields 64, and the square root of 64 is equal to 8.

Evaluate if .

Explanation:

### Example Question #11 : Arithmetic

Consider the function:

What is the value of ?

It is impossible to square a negative number.

–49

–17

–33

17

–17

Explanation:

### Example Question #17 : Order Of Operations

Solve:

Explanation:

To solve the above expression we must follow PEMDAS.

So the parentheses are first. .

Then we need to divide 4 by 2 before subtracting because division comes before subtraction.

### Example Question #11 : Arithmetic

Explanation:

Order of operations: "PEMDAS”, or "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".

### Example Question #19 : Order Of Operations

Evaluate when and .

None of the other answer choices are correct.

Explanation:

We can evaluate when  and by plugging in and substituting: