Download March Statewide Algebra 1 Individual NOTA is

March Statewide Algebra 1 Individual NOTA is “None of the Above”. Have fun! 1. Given the first 100 positive integers, how many of them have an odd number of factors? A) 7 B) 8 C) 9 D) 10 E) NOTA 2. Find the distance between the points A(-­‐3, 6) and B(4, 5). A) 5 2
B)
122
C) 2 17
D)
2
E) NOTA 3. Find the value of the discriminant of 6x = 4 x 2 − 9 . A) -­‐200 B) -­‐108 C) 180 D) 177 E) NOTA 4. Find the sum of the integral solutions of 3x − 6 < 4 . A) 0 B) 2 C) 4 D) 6 E) NOTA 5. The solution of the equations: 4x + 3y – 7z = 47, 10x – 4y = -­‐4 and x + 9y = 56 is in the form (x, y, z). Find the sum (x + y + z). A) 3 B) 5 C) 8 D) 14 E) NOTA 6. Solve the equation: 3x − 2 = x − 2 A) 1 B) 6 C) 1, 6 D) 2 E) NOTA 7. a is directly proportional to the square root of b and is inversely proportional to c. When a = 10, b = 16 and c = 6. Find the value of b when a = 10 and c = 9. A) 384
B) 8 6
C) 36
D) 6
E) NOTA ⎛ a −4 b 2c 5 ⎞ −2
8. Simplify using only positive exponents: ( a b c )⎜ 3 9 ⎟ ⎝ a bc ⎠
5 8 10
A) a19b 6c18
B)
a5
b 5c19
C)
b18c12
a4
D)
b10c 2
a9
E) NOTA 9. Simplify: (5x 4 − 3x 2 + 2x − 7) − (3x 3 + 8x 2 − 4 x −12) A) 5x 4 − 3x 3 − 5x 2 − 2x −19
B) 2x 4 −11x 2 + 6x −19
D) 5x 4 − 3x 3 −11x 2 + 6x + 5
E) NOTA
C) 5x 4 − 3x 3 −11x 2 + 6x −19
10. Find the equation of the line in standard form through the point (-­‐6, 2) that is perpendicular to the line 5x – 3y = 12. A) 3x – 5y = -­‐28 B) 3x + 5y = -­‐24 C) 3x + 5y = -­‐8 D) 3x – 5y = 36 E) NOTA March Statewide Algebra 1 Individual 11. Jennifer has a jar of coins. The jar consists of nickels, dimes and quarters. There are 50 total coins in the jar. The number of quarters is two less than three times the number of dimes and the number of nickels is two less than two times the number of dimes. Find the total value of the coins in the jar. A) $6.15 B) $7.05 C) $7.95 D) $8.85 E) NOTA 12. Find the maximum value of the parabola y = −2x 2 + 5x − 6 . A) − 6
B) −
23
8
5
4
C)
E) NOTA D) no solution
13. Let a# b = (3a 2 − 2b)(a + 5b) . Find the value of 2# (3#1). A) − 388776
B) 200
C) 102
D) 3339470
E) NOTA ⎛ ⎛ −1⎞⎞
14. Let f (x) = 3x 2 + 4 x − 7 and g(x) = 8x − 3 . Find f ⎜ g⎜ ⎟⎟ . ⎝ ⎝ 2 ⎠⎠
A) -­‐69 B) -­‐7 C) 112 D) 168 E) NOTA 15. Factor completely: 3x 3 − x 2 −12x + 4 A) (3x −1)(x − 2) 2
B) (3x −1)(x + 2) 2
C) (3x +1)(x + 2)(x − 2)
D) (x − 2)(3x −1)(x + 2)
E) NOTA 16. Simplify: 600 − 96 + 54 A)
558
B) 8 6
17. Solve for x. A) −
1
5
B) −1
C) 9 6
D) 10 6
E) NOTA 1
= 16 5x −2 4096
C) 1
D)
1
5
E) NOTA 18. Evaluate 4(32 − 60 ÷ 5) + 5(8 − (4 ÷ 2 0 )) A) -­‐20.8 B) 8 C) 18 D) 24 E) NOTA 19. Solve: 12x 2 + x = 63 ⎧ 31 ⎫
A) ⎨63, ⎬
⎩
6⎭
⎧
31 ⎫
B) ⎨ −63,− ⎬
⎩
6⎭
⎧7 9 ⎫
C) ⎨ ,− ⎬
⎩3 4⎭
⎧ 7 9⎫
D) ⎨ − , ⎬
⎩ 3 4⎭
E) NOTA 20. Which property is displayed by the following: 3(2x – 4) = 6x – 12 A) Commutative B) Reflexive C) Distributive D) Associative E) NOTA March Statewide Algebra 1 Individual 21. The regional championship football game is held at Smith High. The ticket prices are $5 for students and $7 for adults. 1500 tickets are sold for the game and a total of $8750 is made in tickets sold. Find the number of student tickets sold. A) 625 B) 675 C) 825 D) 875 E) NOTA 3 2
−
8
7 22. Simplify: 5 4
+
6 7
A)
15
236
13
9
B)
C) −
1
20
295
2352
D)
E) NOTA 23. Rob and Lori are house painters. It takes Rob 17
hours to paint a house and it 4
13
hours to paint a house. How long, in hours, will it take for Rob and 2
Lori to paint a house together? takes Lori A)
43
8
B)
43
16
C)
221
86
D)
9
4
E) NOTA 24. What is the slope of the line 10x – 5y = 94? A) − 2
B) −
1
2
C)
1
2
D) 2
E) NOTA 25. Write .000615 in scientific notation. A) 6.15 × 10 −3
26. Express A)
4+ 7
14
B) 6.15 × 10 −4
C) 615 × 10 −6
D) .615 × 10 −3
E) NOTA 14
with a rationalized denominator. 4+ 7
B)
56 −14 7
9
C)
56 +14 7
9
D)
4− 7
14
E) NOTA 27. Expand (2x + 4)(3x – 6). A) 6x 2 − 24 x − 24
B) 6x 2 −18x − 24
C) 6x 2 − 24
D) 6x − 24
E) NOTA 28. The average of 6 distinct whole numbers is 7. What is the largest any of the numbers could be? A) 42 B) 37 C) 32 D) 27 E) NOTA March Statewide Algebra 1 Individual 29. If 50 rupees are equal to 1 dollar, 2 dollars are equal to 1 euro and 8 yuan are equal to 1 euro, then how many rupees are equal to 100 yuan? A) 25 B) 800 C) 625 D) 1250 E) NOTA 30. Solve for x: 4x + 7 = 2x + 18 A)
11
6
B)
11
2
C)
25
2
D)
25
6
E) NOTA