First Round
Solve these equations.
5x −7=73
x = 16
Solve these equations:
84−4x=20
x = 16
Solve these equations:
99÷(x−11)=3
x = 44
Calculate. If possible, reduce your answers.
1−2·(3−4) =
3
Calculate. If possible, reduce your answers.
10−8÷4·2+4·25 =
106
Calculate. If possible, reduce your answers.
0.3·0.2+0.3÷0.2=
1.56
Calculate. If possible, reduce your answers.
2 6/7 ÷3 1/3 =
Answer: 6/7
Evaluate 5/6 ÷ (a+b)
for a= 1/2 and b= −2/3.
Record the answer in the simplest form.
−5
Simplify each expression.
2(x−3)−3(3−x)
5x − 15
Write 1 2/11 as a decimal.
1.(18)
or 1.181818...
Find number x, if when you add 7 to it and double the result you get 19 more than x.
x = 5
Simplify each expression.
10+2x−3(x+2)
4 − x or − x+4
Students collected money for a trip. Each of the 21 student contributed the same amount. How much did each student contribute, if they collected $260.40?
$12.40
Jen ran for 10 minutes with the speed of 6 mph and then walked for 30 minutes at a speed of 3 miles per hour. What is the total distance covered by Jen?
2.5 miles
a) Express 0.032 as percent.
b) Express 0.032 as a fraction in lowest terms.
a) 3.2%
b) 4/125
Simplify each expression.
5x+ 3/4 +2x − 1/2
7x + 0.25 or 7x+ 1/4
An angry teacher saw her student when he was 5200 feet away and started to chase him at a speed of 28 feet per second. The student immediately started to run away at a speed of 24 feet per second. How much time will it take the teacher to catch her student?
21 minutes and 40 seconds
Find two numbers, if their sum is 49 and their difference is 1/2.
24 1/4 and 24 3/4
or
24.25 and 24.75
If now Kate is three times as old as Jan, and 6 years ago she was six times as old as he was, how old are they now?
Kate is 30 years old and Jan is 10 years old
One of my students got 95, 98, and 32 for the two Principal tests and for the final test.
What is the average of her three tests?
75
Farmer Smith Jr is putting together fruit baskets. He has 240 oranges and 150 grapefruits. What is the largest number of baskets he can put together so that he can have the same number of oranges in each basket and the same number of grapefruits in each basket?
30 baskets
a) Express 35% as a decimal.
b) Express 35% as a fraction in lowest terms.
a)0.35;
b) 7/20
Michael has soccer practice every other day, swimming practice every third day, and tennis lesson every 5th day. This Wednesday he had soccer, swimming, and tennis. In how many days will Michael have all three sports at the same day again?
What day of the week will it be?
In 30 days, Friday
Write repeating decimal 2.72727272... as a fraction. Reduce the fraction completely.
2 8/11
One of my students got 95, 98, and 32 for the two Principal tests and for the final test.
The student was actually sick during the final test, this is why she earned such a low grade. She was allowed to retake the test. What should be the minimal grade on the final test so that the average of the three tests is at least 90?
77