Algebra
The Multiples
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100

Solve the equation:  

8k-13 2/5=-12 1/25

17/100

100

What number between  is both a perfect square and a multiple of 7?

196

100

How many integers between 150 and 300 are multiples of 9?

17

200

Solve the equation:

(3x+4)/5=(2x-8)/7

x=-68/11

200

One owl hoots every 3 hours, second owl hoots every 8 hours, and a third owl hoots every 12 hours. If they all hoot together at the start, how many times during the next 80 hours will just two of the owls hoot together?

3 times

200

Suppose P and Q both represent prime numbers such that  Find the value of the prime P.

19

300

Solve:

(4-7t)/6=t/8+2

t=-32/31

300

A church rings its bells every 15 minutes, the school rings its bells every 20 minutes, and the day care center rings its bells every 25 minutes. If they all ring their bells at noon on the same day, at what time will they next all ring their bells together?

300 minutes after noon or 5:00PM

300

If  

x, y and z

are positive integers and 

2^x∙3^y∙5^z=54000

, what is the value of

x+y+z

 ?

10

300

Solve for x:

(6 1/4)/(2 1/2)=(1 1/2)/x

3/5

400

Three years ago, I was two-thirds as old as I will be eight years from now. How old am I now?

25 years old

400

The product of 2 positive integers is 2005. If neither is 1, what is the sum of the two integers?

406

400

A garage has 17 cars and motorcycles. Altogether, there are 56 wheels. How many of each type of vehicle are there?

11 Cars and 6 Motorcycles

500

The sum of the ages of three children is 32. The age of the oldest is twice the age of the youngest. The two older children differ by three years. What is the age of the youngest child?

7 years old

500

The people at the party tried to form teams with the same number of people on each team, but when they tried to split up into teams of 2, 3, 5 or 7, exactly one person was left without a team. What is the smallest number of people (greater than 1) who could have been at the party?

211

500

Kayla adds the same number to both the numerator and denominator of the fraction . Her resulting fraction equals . What number did she add to both the numerator and denominator of her original fraction?

17

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