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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
 



 
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