### All ACT Math Resources

## Example Questions

### Example Question #1 : How To Find The Square Of A Sum

Evaluate the following expression:

**Possible Answers:**

**Correct answer:**

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

2^{5 }= 2x2x2x2x2 = 32

Then, 5x2 must first be multiplied before taking the exponent, yielding 10^{2 }= 100.

100 + 32 = 132

### Example Question #5 : Squaring / Square Roots / Radicals

Expand:

**Possible Answers:**

**Correct answer:**

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 #6 : Squaring / Square Roots / Radicals

Which of the following is the square of ?

**Possible Answers:**

**Correct answer:**

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

### Example Question #121 : Exponents

Which of the following is the square of ?

You may assume both and are positive.

**Possible Answers:**

**Correct answer:**

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

or

### Example Question #8 : Squaring / Square Roots / Radicals

Which of the following is the square of ?

**Possible Answers:**

**Correct answer:**

Multiply vertically as follows:

### Example Question #9 : Squaring / Square Roots / Radicals

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.

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 #10 : Squaring / Square Roots / Radicals

Which of the following is the square of ?

**Possible Answers:**

**Correct answer:**

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

### Example Question #11 : Squaring / Square Roots / Radicals

Which of the following is the square of ?

**Possible Answers:**

**Correct answer:**

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

### All ACT Math Resources

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