Elementary Operations - SAT Math

Card 0 of 60

Question

Evaluate the expression.

Answer

Follow the correct order of operations: parenthenses, exponents, multiplication, division, addition, subtraction.

First, evaluate any terms in parenthesis.

Next, evaluate the exponent.

Divide.

Finally, add.

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Question

Evalute the expression:

Answer

Follow the correct order of operations: parentheses, exponents, multiplication, division, addition, subtraction. (This is typically abbreviated as PEMDAS. Note that both multiplication and division, and addition and subtraction, are equal to each other in terms of rank, so when both are present, solving the equation proceeds from left to right).

First, simplify anything in parentheses.

Next, simplify any terms with exponents.

Now, perform multiplication.

Since all we are left with is addition and subtraction, we perform simplification from left to right.

Thus, our answer is:

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Question

Add in modulo 7:

Answer

In modulo 7 arithmetic, a number is congruent to the remainder of its division by 7.

Therefore, since and ,

,

and the correct response is 3.

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Question

Add:

Answer

To solve , make sure the digits are aligned with the correct placeholder. It is also possible to add term by term.

The correct answer is:

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Question

Evaluate: .

Answer

Step 1: Recall PEMDAS...

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

Step 2: Perform the evaluation in separate pieces...

Step 3: Replace the values and keep the signs..

Step 4: Evaluate:

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Question

Find the sum of the numbers:

Answer

Add all the ones digits.

Add the tens digits with the two as the carryover.

Combine this value with the ones digit of the first number.

The answer is:

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Question

Evaluate:

Answer

Add the ones digits.

Add the tens digits with the tens digit of the previous number as carryover.

Repeat the process with the hundreds digits.

Combine this number with the ones digits of the previous calculations.

The answer is:

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Question

Add the following numbers:

Answer

Add the ones digits.

Add the tens digits with the two as the carryover.

Add the hundreds digits with the two as the carryover.

Combine this number with the ones digits of the previous calculations.

The answer is:

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Question

Add the numbers:

Answer

Add the ones digits.

Carry the one, and add the tens digits.

Carry the two, and add the hundreds digits.

Combine this number with the ones digit of the other numbers.

The answer is:

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Question

Add the numbers:

Answer

Add the ones digits.

Carry the two, and add the tens digits.

Carry the two, and add the hundreds places.

Combine all ones digits.

The answer is:

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Question

Add the numbers:

Answer

Add the ones digits.

Add the tens digits using the one as the carryover.

Combine this number with the ones digit of the first number solved.

The answer is:

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Question

Add the numbers:

Answer

Add the ones digits.

Carry the one and add the tens digits.

Combine this number with the ones digit of the first number.

The answer is:

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Question

Add the following numbers:

Answer

Add the ones digits.

Carry the one and add the tens digits.

Combine this number with the ones digit of the first number.

The answer is:

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Question

Add the numbers:

Answer

Add the ones digits.

Add the tens digits with the one as the carryover.

The answer is:

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Question

Add the numbers:

Answer

Add the ones digits.

Add the tens digit with the carryover.

The answer is:

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Question

Evaluate the expression.

Answer

Follow the correct order of operations: parenthenses, exponents, multiplication, division, addition, subtraction.

First, evaluate any terms in parenthesis.

Next, evaluate the exponent.

Divide.

Finally, add.

Compare your answer with the correct one above

Question

Evalute the expression:

Answer

Follow the correct order of operations: parentheses, exponents, multiplication, division, addition, subtraction. (This is typically abbreviated as PEMDAS. Note that both multiplication and division, and addition and subtraction, are equal to each other in terms of rank, so when both are present, solving the equation proceeds from left to right).

First, simplify anything in parentheses.

Next, simplify any terms with exponents.

Now, perform multiplication.

Since all we are left with is addition and subtraction, we perform simplification from left to right.

Thus, our answer is:

Compare your answer with the correct one above

Question

Add in modulo 7:

Answer

In modulo 7 arithmetic, a number is congruent to the remainder of its division by 7.

Therefore, since and ,

,

and the correct response is 3.

Compare your answer with the correct one above

Question

Add:

Answer

To solve , make sure the digits are aligned with the correct placeholder. It is also possible to add term by term.

The correct answer is:

Compare your answer with the correct one above

Question

Evaluate: .

Answer

Step 1: Recall PEMDAS...

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

Step 2: Perform the evaluation in separate pieces...

Step 3: Replace the values and keep the signs..

Step 4: Evaluate:

Compare your answer with the correct one above

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