Name: 
 

Lesson 7: Solving Problems by Guessing and Testing



 1. 

Use the guess and test method to solve the following problems.

When you multiply a number by 6, then add 5, the number is 35.  What is the number?
a.
4
b.
5
c.
6
d.
7
 

 2. 

When you divide a number by 7, then add 10, the answer is 13.  What is the number?
a.
20
b.
21
c.
22
d.
23
 

 3. 

When you multiply a number by 7, then add 2, the number is 51.  What is the number?
a.
4
b.
5
c.
6
d.
7
 

 4. 

When you add 5 to a number, then divide it by 5, the answer is 5.  What is the number?
a.
20
b.
25
c.
5
d.
6
 

 5. 

If you subtract 4 from a number, then multiply by 3, then answer is 3. What is the number?
a.
10
b.
8
c.
5
d.
2
 

 6. 

The area of a rectangle is 45 square units. The width is 4 more units than the length. What is the length of the rectangle?
a.
9
b.
8
c.
4
d.
5
 

 7. 

What is the width of the rectangle?
a.
9
b.
8
c.
4
d.
5
 

 8. 

Kelser bought 3 pails. Two small pails were the same price and one large pail was $20.00 more than the other 2. If Kesler spent $95.00 on the pails, how much was the larger pail?
a.
$30.00
b.
$35.00
c.
$40.00
d.
$45.00
 

 9. 

How much were each of the smaller pails?
a.
$20.00
b.
$25.00
c.
$30.00
d.
$35.00
 

 10. 

Clark chose a number. He listed the next three numbers in the sequence. The sum of the four numbers was 58.  What was the starting number?
a.
13
b.
14
c.
15
d.
16
 



 
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