# Algebra - problems - page 102

1. Chewing gums
For 3 chewing gums, you will pay 20 CZK less than 7 chewing gums. How much is 1 chewing gum and how much does a 5pcs package cost?
2. The tub
If we drop the 5 l from the first tap and the from second 2 liters of water, the water in the tub will have a temperature of 25°C. If we drop 3 l from the first tap and from second 4 l of water, the water in the tub will have a temperature of 21°C. Determi
3. Mysterious number
The magician thinks the number: "The mysterious number is first divided by minus five, dividing the result by three, multiplying the number by ten, and dividing the resulting number by minus four. This gives result 5. Can you reveal the mysterious number?
4. Unknown number
I think the number. I'll reduce it to its one-third. The result is then increased by one-third, and I get the number 12.
5. GP members
The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?
6. Expression
Solve for a specified variable: P=a+4b+3c, for a
7. A man
A man spends 5/9 of his money on rent, and 5/16 of the remainder on electricity. If the final balance remaining is 550 find how much was spent on rent
8. Intersections
Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5
9. Intercept with axis
F(x)=log(x+4)-2, what is the x intercept
10. Last page
Two consecutive sheets dropped out of the book. The sum of the numbers on the sides of the dropped sheets is 154. What is the number of the last page of the dropped sheets?
11. Annual pension
Calculate the amount of money generating an annual pension of EUR 1000, payable at the end of the year and for a period of 10 years, shall be inserted into the bank to account with an annual interest rate of 2%
12. Twenty
Twenty rabbits are put in 4 cells so that there are different number of rabbits in each cell contains at least 3 rabbits. What is the largest possible number of rabbits in one cell
13. Carla
Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter’s age was twice the sum of Carla’s and Jim’s age. Find the present age of each one of them.
14. Two equations
Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
15. Mixture 2
How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution?
16. Taxi
A taxi ride costs \$3 plus \$2.50 per mile. Write and Graph an equation in two variables that represents the total cost of a taxi ride.
17. A large
A large gear will be used to turn a smaller gear. The large gear will make 75 revolutions per minute. The smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM. ]
18. Area to perimeter
Calculate circle circumference if its area is 254.34cm2
19. The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube.
20. A perineum
A perineum string is 10% shorter than its original string. The first string is 24, what is the 9th string or term?

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