SAT Math : Arithmetic

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #41 : Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

Following the order of operations, we can go through these steps to solve the problem:

Example Question #41 : Order Of Operations

Find the value of the expression:

Possible Answers:

Correct answer:

Explanation:

We need to use PEMDAS (Parentheses, Exponents, Multiplication, Divison, Addition, and Subtraction) to start and simplify this expression.

Step 1:

We will first do the operations in the parentheses:



Step 2:

We will then calculate the exponent. Be aware that the minus sign between the parentheses and the 2 does not effect the base of the exponent.

So, .

Step 3: We will now write the new equation based on the numbers that we got.

The new equation is: .

Step 4: Subtract 4 and 8.



Step 5: Add 6 to the result of the last operation. 

Example Question #41 : Order Of Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we want to use the Order of Operations (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

First, we'll simplify what's inside the parentheses. 

Next, we'll do multiplication and division as they appear from left to right. 

Then, finally, we'll subtract.

Example Question #41 : Order Of Operations

Solve:

Possible Answers:

None of the given answers. 

Correct answer:

Explanation:

To solve this, we need to follow the Order of Operations (PEMDAS). To do this, we need to solve our exponential term first, then multiplication, then addition, like so:

Example Question #42 : Order Of Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

In PEMDAS, division and multiplication comes before addition and subtraction. Therefore, 

Example Question #42 : Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

In PEMDAS, we apply the exponents first followed by multiplication and then finally subtraction.

Therefore,

Example Question #41 : Order Of Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

In PEMDAS, we do parentheses first, followed by multiplication and finally addition from left to right.

Therefore,

Example Question #41 : Order Of Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

In PEMDAS, we will apply the parentheses from left to right. Then we apply the exponent and addition inside the parentheses. Finally, we do division.

Therefore,

Example Question #42 : Order Of Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

In PEMDAS, we apply parentheses, followed by multiplication and lastly addition.

Therefore,

Example Question #43 : Order Of Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

In PEMDAS, we do parentheses first, followed by exponents, and lastly multiplication.

Therefore,

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