Name:    Lesson 1.5: Exploring Problems Involving Squares and Square Roots

1.

Five less than the square of a number is 31. What is the number?
 a. 3 b. 5 c. 6 d. 7

2.

Twelve more than the square of a number is 93. What is the number?
 a. 6 b. 9 c. 10 d. 8

3.

A number is squared and then doubled. The result is 288. What is the number?
 a. 14 b. 22 c. 24 d. 12

4.

A number is squared and then halfed. The result is 32. What is the number?
 a. 8 b. 6 c. 7 d. 9

5.

The square root of a square number increased by 20 is 35. What is the square number?
 a. 169 b. 441 c. 225 d. 289

6.

The square root of a square number decreased by 8 is 14. What is the square number?
 a. 400 b. 484 c. 441 d. 361

7.

The square root of a square number is multiplied by 6. The result is 150. What is the square number?
 a. 400 b. 900 c. 729 d. 625

8.

The square root of a square number divided by 6 is 1. What is the square number?
 a. 36 b. 144 c. 4 d. 64

9.

Miguel arranged 150 tiles to form a large square with an equal number of rows and columns. He had 6 tiles left over. How many rows and columns are in the large square?
 a. 10 b. 11 c. 12 d. 13

10.

Éira is arranging 250 square index cards into a large square. She needs 6 more cards to complete the large square. How many rows and columns does the large square have?
 a. 15 b. 16 c. 17 d. 20