Order of Operations - SAT Math

We are told that a * b = b2 – a2 + ab, and we need to calculate 4 * (3 * (2 * 1)).

We need to start at the innermost set of parantheses, which requires us to find 2 * 1.

2 * 1 = 12 – 22 + 2(1) = 1 – 4 + 2 = –1

We can replace 2 * 1 with negative one. Then our expression becomes.

4 * (3 * (–1))

Now, we must find 3 * (–1)

3 * (–1) = (–1)2 – 32 + (3)(–1) = 1 – 9 – 3 = –11

So we can replace 3 * (–1) with –11.

Lastly, we must find 4 * (–11)

4 * (–11) = (–11)2 –42 + 4(–11) = 121 – 16 – 44 = 61

The answer is 61.

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

The answer is 1.

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

(11) * (4 – 3)2 – (22 + 6)

(11) * (1)2 – (4 + 6)

(11) * (1) – (10)

(11) – (10) = 1

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

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

25 *( 47 + 72 + 192)/12 + 65 =

25 * (47 + 72 + 361) / 12 + 65 =

25 * ( 480) / 12 + 65 =

12000 / 12 + 65 =

1000 + 65 = 1065

Order of operations: PEMDAS

Parenthesis/ exponents: (64 + 17) ÷ 9 + 1

(81) ÷ 9 + 1

Division next, so 81 ÷ 9 = 9

9 + 1 = 10

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

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

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

(28 / 14) 3 + ( 144 – 12 )*17 + 362 =

(2) 3 + ( 132 )*17 + 362 =

8 + ( 132 )*17 + 1296 =

8 + 2244 + 1296 =

3548

The order of operations is PEMDAS: Parenthesis, exponents, division and multiplication (performed left to right), addition and subtraction (performed left to right). “Please Excuse My Dear Aunt Sally” is one way to remember the order. One key is that multiplication and division are equal and addition and subtraction are equal, so they are performed in order from left to right.

Step 1. Parenthesis: 1+4/2-6; Step 2. Division 1+2-6; Step 3. Addition/Subtraction: 1+2-6= -3

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

The order of operations is PEMDAS: Parenthesis, exponents, division and multiplication (performed left to right), addition and subtraction (performed left to right). “Please Excuse My Dear Aunt Sally” is one way to remember the order. One key is that multiplication and division are equal and addition and subtraction are equal, so they are performed in order from left to right. Sowe get 6-5-4=-3

To solve this problem, we first evaluate 8★2 and then see which of the answer choices is equal to the resulting number. Using the definition of ★, we see that 8★2 = 8(22) = 8(4) = 32. The only answer choice that is equivalent to 32 is 2★4, which evaluates to 2(42) = 32.

(Tip: If we quickly scan the answer choices by squaring the number on the right of the symbol, we immediately see that 3★6 and 1★32 are too big to be 32, even before being multiplied by any of the integers on the left of the symbol.)

Let x be the unknown number.

4 + 8 = 0.25x – x.

12 = –0.75x

x = 12/–0.75

x = –16

We use the order of operations, PEMDAS to solve this equation.

(25 * 10)/\[5(6 – 4)2\] =

(25 * 10)/\[5(2)2\] =

(25 * 10)/\[5(4)\] =

(25 * 10)/20 =

250/20 = 25/2

7(3z - 2b) - (4z + 3b) = 17z - 17b

First multiply both sides by a + 2K to get rid of the denominator. This gives you Step #1: L (a + 2K) = 9K – 11

Step #2: La + 2KL = 9K – 11. Now put all values with K on one side of the equal sign.

Step #3: La + 11 = 9K – 2KL.

Step #4: La + 11 = K (9 – 2L).

Step #5: (La+11)/(9-2L) = K

Remember that when it says subtract from, it should look like 2y – 4x. Multiplying this by 5 = 10y – 20x. 10y – 20x + 2x +y = 11y – 18x.

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.

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