Algebra 1 Contest #1, October, 2005 Accelerated
1. Simplify:
2. Find the sum of, , , , and.
3. Which of these numbers is the median? , , , ,
4. Find the length of the radius of a circle whose area is cm2. Give an exact answer.
5. Stacey has $253.34 in her checking account. On September 2nd, she deposited a $25 check she received as a birthday present from her grandparents. The next week she wrote a check for $32.46 when she bought a pair of jeans at Old Navy. On Friday, September 9th, she deposited her paycheck and then withdrew half of the amount of the paycheck to spend on a movie and snacks that weekend. On September 30, she transferred $100 to her savings account. At the end of September, Stacey had $205.88 in her checking account. How much was her paycheck worth?
6. Four less than three times the sum of 5 and a number is 20. Find the number.
7. Find the total area of the figure below (not drawn to scale). All angles are right angles.
8. Solve for y:
9. Evaluate for , , and
10. In a standard deck of playing cards, what is the probability that you will randomly draw a black face card?
11. Simplify:
12. Simplify and write your answer as a reduced improper fraction:
13. Solve for :
14 Of , and p, which are solutions to ?
A. only D. and p
B. only E. and
C. p only F. , and p
15. Jamelle bought some school supplies on sale last week. He bought 6 pencils, 4 pens, 3 folders, and 5 notebooks. The pencils cost $0.25 each, the pens cost $0.85 each, and the folders were $0.99. Find the cost of one notebook if Jamelle paid a total of $15.02.
16. Given a # b =find 3 # -2.
17. Solve for:
18. Find if the perimeter of the triangle is 33. (Not drawn to scale)
19. Find the difference between the sum of the first 100 even numbers and the sum of the first 100 odd numbers.
20. Maria’s grades on her first three Math tests were 80, 78, and 90. What grade must she get on her 4th test, so that her average is 85?
Algebra 1 Contest #1, October, 2005 Accelerated
1. 71
2.
3.
4.
5. $120
6. 3
7. 101 in2
8. y>-2
9.
10.
11.
12.
13. z=-6
14. E
15. $1.43
16.
17. x=-4
18. y=8
19. 100
20. 92