ACT Math : How to find the square of a sum

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #115 : Exponents

Evaluate the following expression:

Possible Answers:

Correct answer:

Explanation:

2 raised to the power of 5 is the same as multiplying 2 by itself 5 times so:

25 = 2x2x2x2x2 = 32

Then, 5x2 must first be multiplied before taking the exponent, yielding 102 = 100.

100 + 32 = 132

 

Example Question #2311 : Act Math

Expand:

Possible Answers:

Correct answer:

Explanation:

To multiply a difference squared, square the first term and add two times the multiplication of the two terms. Then add the second term squared.

Example Question #2312 : Act Math

Which of the following is the square of  ?

Possible Answers:

Correct answer:

Explanation:

Use the square of a sum pattern, substituting  for  and  for  in the pattern:

 

Example Question #2313 : Act Math

Which of the following is the square of  ?

You may assume both  and  are positive.

Possible Answers:

Correct answer:

Explanation:

Use the square of a sum pattern, substituting  for  and  for  in the pattern:

or 

Example Question #2314 : Act Math

Which of the following is the square of  ?

Possible Answers:

Correct answer:

Explanation:

Multiply vertically as follows:

                    

                    

          

 

Example Question #2315 : Act Math

Which of the following is the square of   ?

Possible Answers:

The correct answer is not given among the other responses.

Correct answer:

The correct answer is not given among the other responses.

Explanation:

Use the square of a sum pattern, substituting  for  and  for  in the pattern:

This is not equivalent to any of the given choices.

Example Question #2316 : Act Math

Which of the following is the square of  ? 

Possible Answers:

Correct answer:

Explanation:

Use the square of a sum pattern, substituting  for  and  for  in the pattern:

Example Question #2317 : Act Math

Which of the following is the square of  ? 

Possible Answers:

Correct answer:

Explanation:

Use the square of a sum pattern, substituting  for  and  for  in the pattern:

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