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# Adding and Subtracting More Than Two Integers

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For problems 1-4, I need you to make sure the answers are correct. If the problem is incorrect, please provide a step by step solution.

1. 27 -31 = -4

2. -22 + (-34) = -56

3. -35+ 67 = +22

4. -47 -33 +25 = -55

For problems 5 and six I am not sure if I have interpreted the answers correctly. Please with the interpretations.

5. A football team gained 4 yards on a play, lost 8 yards on the next play, then gained 2 yards on the third play. Write an addition expression to describe the total change of yardage. Then determine the sum and explain its meaning.
+4 -8 +2 = -2. The team lost 2 yards in the three plays.

6. A helicopter is flying at an altitude of 785 feet. It descends 570 feet, and then ascends 595 feet. Write an expression to represent this situation. Then determine and interpret the sum.

785 -570 +595 = 810. The helicopter is flying at an altitude of 810 feet.

#### Solution Preview

1. 27 -31 = -4
(THIS IS CORRECT)

2. -22 + (-34) = -56
(THIS IS CORRECT. THEY ARE BOTH NEGATIVE SO YOU ADD THE TWO NEGATIVE NUMBERS)

3. -35+ 67 = +32
(THIS IS INCORRECT SINCE THERE WAS A COMPUTATIONAL ERROR. ABOVE IS THE CORRECT ANSWER OF +32)

4. -47 -33 +25 = -55
(THIS IS CORRECT)

For problems 5 and ...

#### Solution Summary

This solution involves the adding and subtracting of integers.

\$2.19

## Algebra Word Problems and Hindu-Arabic, Mayan, Roman and Babylonian Numerals

Please see number 1 and the following problems on the attached file :

3-2
6. Wally kept track of last week's money transactions. His
salary was \$150 plus \$54 in overtime and \$260 in tips. His
transportation expenses were \$22, his food expenses were
\$60, his laundry costs were \$15, his entertainment expenditures
were \$58, and his rent was \$185. After expenses,
did he have any money left? If so, how much?

3-3
13. On a 14-day vacation, Glenn increased his caloric intake
by 1500 calories per day. He also worked out more than
usual by swimming 2 hr a day. Swimming burns 666 calories
per hour, and a net gain of 3500 calories adds 1 lb of
weight. Did Glenn gain at least 1 lb during his vacation?

Ch 4

4-1
17. For which integers a, b, c does a - b - c = a- (b - c)?

4-2
42. Hosni gave the following argument that _ _ _
(a + b) = a + b
for all integers a and b. If the argument is
correct, supply the missing reasons. If it is incorrect,
explain why not.
-( a + b) = ( -1) ( a+ b)
= (-1) a + (-1)b
= -a + -b
4-3
2.
b. A forester has 43,682 seedlings to be planted. Can these
be planted in an equal number of rows with 11 seedlings
in each row?

26. Using only divisibility tests, explain whether 6,868,395 is
divisible by 15.

4-4

31. Explain why the product of any three consecutive integers
is divisible by 6.

Classroom questions:

A fourth-grade student devised the following subtraction
algorithm for subtracting 84 - 27.
4 minus 7 equals negative 3.

84
-27
-3
80 minus twenty equals 60.
84
-27
-3
60
60 plus negative 3 equals 57.
84
-27
-3
+ 60
57

Thus the answer is 57. What is your response as a teacher?

18. A student claims that every prime greater than 3 is a term
in the arithmetic sequence whose nth term is 6n+ 1 or in
the arithmetic sequence whose nth term is 6n - 1. Is this
true? If so why?

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