(Gillesania)ALGEBRA SETS 1, 2, 3, 4
B. 5005
Problem 4-35: The constant term in the expansion of (x + 1/(3^(3/2)))^15 is: A. 3003 B. 5005 C. 6435 D. 7365
c. 1/u and 1/v
Problem 4-43: If the roots of ax^2 + bx + c = 0 are u and v, then the roots of cx^2 + bx + a = 0 are: A. u and v B. -u and v C. 1/u and 1/v D. -1/u and -1/v
B. 4
Problem 4-47: Find k so that the expression kx^2 - 3kx + 9 is a perfect square. A. 3 B. 4 C. 12 D. 6
B. 4
Problem 4-48: Find k so that 4x^2 + kx + 1 = 0 will only have one real solution. A. 1 B. 4 C. 3 D. 2
A. 3
Problem 4-49: The only root of the equation x^2 - 6x + k = 0 is: A. 3 B. 2 C. 6 D. 1
A. (1/a)(log P-b)
Problem 4-8: If 10^(ax+b) = P, What is the value of x? A. (1/a)(log P-b) B. (1/a)log(P-b) C. (1/a)P^(10-b) D. (1/a)log P^10
C. 1 horsepower = 0.746 kW
Problem 1-22: Which of the following is correct? A. 1 horsepower = 746 kW B. 1 horsepower = 0.746 watts C. 1 horsepower = 0.746 kW D. 1 horsepower = 546 watts
A. 32.2ft / sec^2
Problem 1-23: The acceleration due to gravity in English unit is equivalent to: A. 32.2ft / sec^2 B. 32.22ft / sec^2 C. 9.81ft / sec^2 D. 98.1ft / sec^2
D. giga
Problem 1-24: The prefix nano is opposite to: A. mega B. tera C. hexa D. giga
A. 500
Problem 1-32: Scale on the map is 1:x. A lot having an area of 640 sq.m. is represented by an area of 25.6 sq.cm on the map. What is the value of x? A. 500 B. 1000 C. 50 D. 100
B. -40 deg
Problem 1-5: What temperature will the (degree C) and (degree F) reading be equal? A. 40 deg B. -40 deg C. 32 deg D. 0 deg
C. 7/3
Problem 2-12: If 3a=7b, then 3a^2 / 7b^2 = A. 1 B. 3/7 C. 7/3 D. 49/9
C. 1
Problem 2-19: Find x from the following equations: 27^x = 9^y (81^y) x (3^-x) = 243 A. 2.5 B. 2 C. 1 D. 1.5
D. 2.1544
Problem 2-8: Solve for x: (3^x)[5^(x+1)] = 6^(x+2) A. 2.1455 B. 2.1445 C. 2.4154 D. 2.1544
A. 4 and -2 only
Problem 3-15: The roots of the equation [(x-4)^2]x(x+2) = [(x+2)^2]x(x-4) are; A. 4 and -2 only B. 1 only C. -2 and 4 only D. 1, -2 and 4 only
D. 2(x-1) + 3(x+1) = 5x+4
Problem 3-17: Which of the following is not an identity? A. (x-1)^2 = x^2 -2x + 1 B. (x+3)(2x-2) = 2(x^2 +2x-3) C. x^2 - (x-1)^2 = 2x-1 D. 2(x-1) + 3(x+1) = 5x+4
A. 0
Problem 3-25: If 3x^3 - 4x^2y + 5xy^2 + 6y^3 is divided by (x^2 -2xy + 3y^2), the remainder is: A. 0 B. 1 C. 2 D. 3
B. 10
Problem 3-45: Find the mean proportional to 5 and 20 A. 8 B. 10 C. 12 D. 14
A. 36
Problem 3-46: Find the fourth proportional to 7, 12, and 21. A. 36 B. 34 C. 32 D. 40
A. -6 > x > 2
Problem 3-49: Solve for x: x^2 +4x > 12 A. -6 > x > 2 B. 6 > x > -2 C. -6 > x > -2 D. 6 > x > 2
A. -5
Problem 3-50: When the expression x^4 + ax^3 + 5x^2 + bx + 6 is divided by (x-2), the remainder is 16. When it is divided by (x+1) the remainder is 10. What is the value of the constant a? A. -5 B. -9 C. 7 D. 8
A. 9
Problem 4-25: The logarithms of the quotient and the product of two numbers are 0.352182518 and 1.556302501, respectively. Find the first number? A. 9 B. 10 C. 11 D. 12
D. complex numbers
Problem 4-29: The logarithm of negative number is: A. irrational numbers B. real numbers C. imaginary numbers D. complex numbers
D. 5670x^8
Problem 4-33: The middle term in the expansion of (x^2 - 3)^8 is: A. -70x^8 B. 70x^8 C. -5670x^8 D. 5670x^8
B. grad
Problem 1-13: An angular unit equivalent to 1/400 of the circumference of a circel is called: A. mil B. grad C. radian D. degree
D. 1.854 km
Problem 1-16: One nautical mile is equivalent to: A. 5280 ft. B. 6280 ft. C. 1.256 statute mile D. 1.854 km
D. -273
Problem 1-1: What is the temperature in degree Celsius of absolute zero? A. -32 B. 0 C. 273 D. -273
B. 60
Problem 1-21: The number of board feet in a plank 3 inches thick, 1 foot wide and 20 feet long is: A. 30 B. 60 C. 120 D. 90
C. 25344x^9
Problem 4-34: The term involving x^9 in the expansion of (x^2 + 2/x)^12 is: A. 25434x^9 B. 52344x^9 C. 25344x^9 D. 23544x^9
