Embed Size (px)
Citation preview
50th State Convention March 25-27, 2010
Baton Rouge, Louisiana
TEST RULES
1. Do not begin test until you are told to do so.
2. You must supply your own #2 pencil.
3. Only ACT approved calculators are allowed on all tests.
4. Print your name and school in the name blank, your code in the date blank, and
the area test in the subject blank on your Scantron answer sheet
5. Standard procedure for machine graded papers must be followed. Use only a #2
pencil, marking the appropriate spaces carefully.
6. In case of a tie, winners will be determined according to the order in which the
answer sheet was turned into the moderator.
7. Do all scratch work on your test.
Theta – Algebra X
2010 Algebra X Area Test
Multiple Choice Identify the choice that best completes the statement or answers the question.
NOTA None of the above
1. Solve the given equation. 43m + =
A. 5843 B. 301
58 C. 1243 D. 58
301 E. NOTA
2. Solve the given equation. 9.16p 11 = 24 + 7.16p
A. B. C. D. E. NOTA
3. Solve the given equation. 20| 2s + 5 | = 24
A. {–1.9, –3.1} B. {–1.9, 3.1} C. {9.5, –3.1} D. {1.9, –3.1} E. NOTA
4. The workers in a factory earn $25 an hour. Every week, 20% of each worker’s total pay is deducted for
taxes. If each worker wants a salary of at least $620 a week, solve the inequality 25m 0.2(25m) 620 to determine how many hours each worker must work. A. at the most 31 C. 31 E. NOTA B. at least 31 D. at least 3.1
5. Solve the system of equations.
6x + 5y = 10 7x – 3y = 24 A. 0.83, –1.4 C. 2.83, –1.4 E. NOTA B. 2.83, 4.04 D. 0.5, 4.04
6. Choco pies are cookies made from chocolate (c), sugar (s), and flour (f). Chocolate costs $5 per pound,
sugar costs $3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as sugar. Write a system of three equations that represents how much food you should purchase. A. c + s + f = 50
5c + 3s + 2f = 18 f = 2s
B. 5c + 3s + 2f = 50 c + s + f = 18 f = 2s
C. 5c + 3s + 2f = 50 c + s + f = 18 s = 2f
D. 5c + 3s + f = 50 c + s + f = 18 f = 2s
E. NOTA
7. Perform the indicated matrix operation.
3 – 2
A.
C.
E. NOTA
B.
D.
8. Find the product, if possible.
A.
C.
B.
D. NOTA
9. Find the product, if possible.
A.
C.
B.
D. NOTA
10. Find the value of the determinant.
A. 69 C. –84 E. NOTA B. –74 D. 66
11. Determine whether the given matrices are inverses.
A. No B. Yes
12. Find the inverse of the matrix, if it exists.
P
A.
C.
B. P does not exist. D.
13. Simplify the given expression.
A.
C.
E. NOTA
B.
D.
14. Simplify the given expression.
A.
C.
E. NOTA
B.
D.
15. Simplify the given expression.
+
A. C. E. NOTA
B. D.
16. Simplify the expression.
A. quotient and remainder 2500
B. quotient and remainder 2000
C. quotient and remainder 0
D. quotient and remainder 900
E. NOTA
17. Write a quadratic equation with the given roots. Write the equation in the form , where
a, b, and c are integers. –10 and –2 A. – 8 – 20 C. + 12 + 20 E. NOTA B. + 8 – 20 D. – 12 – 20
18. Solve the equation.
16 + 32 + 16 81 A. { 13
4 , −54 } C. {−1, 9} E. NOTA
B. {− } 1 D. { 54 , −13
4 }
19. Find the coordinates of the vertex of the quadratic function.
A. C. E. NOTA B. D.
20. Estimate the x-coordinates at which the relative maxima and relative minima occur for the function.
A. The relative maxima is at and the relative minima is at . B. The relative maxima is at and the relative minima is at . C. The relative maxima is at and the relative minima is at . D. The relative maxima is at and the relative minima is at . E. NOTA
21. Find all the rational zeros of the function .
A. 1, –9 C. 0, –9 E. NOTA B. 0, 9 D. 1, 9
22. Find for the following functions.
A. C. E. NOTA B. D.
23. Find and .
A.
C.
E. NOTA
B.
D.
24. Find the inverse of the given function.
A. f -1(x) = C. f -1(x) = E. NOTA
B. f -1(x) = D. f -1(x) =
25. Carl drove from his house to work at an average speed of 35 miles per hour. The drive took him 25
minutes. If the drive home took him 30 minutes and he used the same route in reverse, what was his average speed going home? A. 27.50 miles per hour C. 42.00 miles per hour E. NOTA B. 29.17 miles per hour D. 291.70 miles per hour
2010 Algebra X Area Test
Answer Section
MULTIPLE CHOICE
1. D
2. C
3. A
4. B
5. C
6. B
7. B
8. C
9. D
10. D
11. A
12. D
13. D
14. D
15. C
16. C
17. C
18. D
19. A
20. C
21. B
22. C
23. C
24. B
25. B
