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Example 4
Find the value of m: 126 ∙ m = 7
Solution
The letter m is in the position of the divisor. If we were to rewrite the problem
with a division box, it would look like this:7
m  1267
m  126
Practice Set
We can find m by dividing 126 by 7.
7
7
18
m  126
m  126
5
7  1218
6
7  1256
We find that m is 18. We can check our division by multiplying as7follows:
m  126
5
18
18
18
15
7  1256
7  1256
7 ×15
C7
7 126
C
18
7
In the original equation we can replace the
7  1256and test the
m letter
 126 with our answer
15
truth of 15
the resulting equation.
8
7 C
7 C
D
144
87
126 ÷ 18 =
D  144
7 = 7 18
15
7 C
7  1256
8
8
Analyze
Find each unknown
number. Check your work by using your answer
D  144
D  144
in place of the letter in the original problem.
a.
A
× 7
91
e. 7w = 84
g.
360
 30
x =
i.
Formulate
Written Practice
b.
20
× B
440
15
c. 7  C
8
d. D  144
360
n
 60
x  30
5n
360
 60

30
x
5
8 8m
f. 112 =
D  144
n
360
 60x  30 h. n =
 60
5
5
Write a word problem using the equation in exercise h.
360
x  30
Strengthening Concepts
n
 60
5
1. Five dozen carrot sticks are to be divided evenly among 15 children.
Find how many carrot sticks each child
360 should receive
n by dividing
 60
x  30
60 by 15.
5
(2)
2. Matt separated 100 pennies into 4 equal piles. Find how many pennies
were in each pile. Explain how you found your answer.
(2)
3. Sandra put 100 pennies into stacks of 5 pennies each. Find how many
stacks she formed by dividing 100 by 5.
(2)
4. For the upcoming season, 294 players signed up for soccer. Find the
number of 14-player soccer teams that can be formed by dividing 294
by 14.
(2)
26
Saxon Math Course 1
5. Angela is reading a 280-page book. She has just finished page 156.
Find how many pages she still has to read by subtracting 156 from
280.
(1)
6. Each month Bill earns $0.75 per customer for delivering newspapers.
Find how much money he would earn in a month in which he had 42
customers by multiplying $0.75 by 42.
(2)
*
Analyze
7.
J
×5
60
9.
L
+ 36
37
(4)
(3)
Find each unknown number. Check your work.
8.
(3)
10.
(3)
27
+ K
72
64
− M
46
6  $12.36
11. n − 48 = 84
12. 7p = 91
13. q ÷ 7 = 0
14. 144 ÷ r = 6
15. 6  $12.36
16.
17. 526 ÷ 18
18. 563 + 563 + 563 + 563
19. $3.75 ⋅ 16
20. $3 + $2.86 + $0.98
(3)
(4)
(4)
(4)
(2)
(2)
(2)
5760
8
(1)
(2)
5760
21. $10
8 − $6.43
(1)
(1)
22. If the divisor is 3 and the quotient is 12, what is the dividend?
(4)
23. If the product is 100 and one factor is 5, what is the other factor?
(4)
* 24.
(1)
Rearrange the numbers in this subtraction fact to form
another subtraction fact and two addition facts.
Connect
17 − 9 = 8
* 25.
(2)
Rearrange the numbers in this division fact to form another
division fact and two multiplication facts.
Connect
72 ÷ 8 = 9
26. w + 6 + 8 + 10 = 40
(3)
27. Find the answer to this addition problem by multiplying:
(2)
23¢ + 23¢ + 23¢ + 23¢ + 23¢ + 23¢ + 23¢
28. 25m = 25
(4)
* 30.
(4)
29. 15n = 0
(4)
Explain How can you find an unknown factor in a multiplication
problem?
Lesson 4
27
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