Question

30 POINTS!!!

Directions: Follow the instructions in each set to solve the problems.


Set A) Calculate the positive and negative values to solve the problems.


1) Jill owes $4 to Jennifer, $4 to Michelle, and $4 to Eileen. How much does she owe altogether?


2) Joey owes $4 to 4 different friends. How much money does he owe altogether?


3) What is the product of -7 and -6?


4) The total bill at a restaurant was $49 to be split evenly among 7 friends. How much money did each friend owe?


5) How much is -81 divided by 9?


6) How much is -100 divided by -10?


7) A group of 18 patrons each owe $15 at a restaurant. What is the total amount owed by all 18 customers?


8) What is the product of -12 and -13?


9) How much is -16 times 4?


10) What is the quotient when -45 is divided by -9?

Tip: Equations are used to make problem-solving easier.


Set B) Write an equation for each word problem. Then solve the equation. The first one is done for you.


Review these examples.


a) What number less 25 is 30?



n – 25 = ? n = 30


b) What number is 6 times 70:


n = 6 * 70 n = 420


c) What number divided by 4 = 9?


n/4 = 9 n = 36



1) What number is 12 less than 35?

Equation: n = 35- 12

Solution: n = 23


2) What number added to 23 equals 41?

Equation:

Solution:


3) What number less 29 is 61?

Equation:

Solution :


4) What number added to 36 equals 53?

Equation:

Solution:


5) What number added to 19 equals 43?

Equation :

Solution:


6) What number divided by 4 equals 12?


Equation:

Solution:


7) What number times 12 equals 96?

Equation:

Solution:


8) What number divided by 8 equals 11?

Equation:

Solution :


9) What number times 19 equals 190?

Equation:

Solution:


10) What number divided into 42 equals 6?

Equation:

Solution:

Answer 1

Set A):

1. Jill owes $12 altogether ($4 + $4 + $4 = $12).

2. Joey owes $16 altogether ($4 + $4 + $4 + $4 = $16).

3. The product of -7 and -6 is 42.

4. Each friend owes $7 ($49 ÷ 7 = $7).

5. -81 divided by 9 is -9.

6. -100 divided by -10 is 10.

7. The total amount owed by all 18 customers is $270 ($15 × 18 = $270).

8. The product of -12 and -13 is 156.

9. -16 times 4 is -64.

10. The quotient when -45 is divided by -9 is 5.

Set B):

1. Equation: n = 35 - 12

Solution: n = 23

2. Equation: n + 23 = 41

Solution: n = 18

3. Equation: n - 29 = 61

Solution: n = 90

4. Equation: n + 36 = 53

Solution: n = 17

5. Equation: n + 19 = 43

Solution: n = 24

6. Equation: n/4 = 12

Solution: n = 48

7. Equation: n * 12 = 96

Solution: n = 8

8. Equation: n/8 = 11

Solution: n = 88

9. Equation: n * 19 = 190

Solution: n = 10

10. Equation: n/42 = 6

Solution: n = 252

Explanation:

Answer 2

Set A) Here are the solutions to the problems:

Jill owes $4 + $4 + $4 = $12 altogether.

Joey owes $4 * 4 = $16 altogether.

The product of -7 and -6 is 42.

Each friend owes $49 / 7 = $7.

-81 divided by 9 is -9.

-100 divided by -10 is 10.

The total amount owed by all 18 customers is 18 * $15 = $270.

The product of -12 and -13 is 156.

-16 times 4 is -64.

The quotient when -45 is divided by -9 is 5.

Set B) Here are the equations and solutions to the problems:

What number is 12 less than 35?

Equation: n = 35-12

Solution: n = 23

What number added to 23 equals 41?

Equation: n + 23 = 41

Solution: n = 18

What number less 29 is 61?

Equation: n - 29 = 61

Solution: n = 90

What number added to 36 equals 53?

Equation: n + 36 = 53

Solution: n = 17

What number added to 19 equals 43?

Equation: n +19 =43

Solution: n =24

What number divided by 4 equals 12?

Equation: n/4 =12

Solution: n=48

What number times 12 equals 96?

Equation: n*12=96

Solution: n=8

What number divided by 8 equals 11?

Equation: n/8=11

Solution: n=88

What number times 19 equals 190?

Equation: n*19=190

Solution: n=10

What number divided into 42 equals 6?

Equation: n/6=42

Solution: n=252