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Material Type: Quiz; Class: College Algebra and Trigonometry; Subject: Mathematics; University: National American University-Rapid City; Term: Forever 1989;
Typology: Quizzes
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Question 1
= 4x^3 * 81y^ = 324x^3y^ Question 2
(2^3a^-6b^-3)/(4a^-9) = 2a^3 / b^ Question 3
3x + 4y^3 – 4y – 2x – 3y^3 + 5y = x + y^3 + y Question 4
8x^6 – 12x^3y + 4x^3y – 6y^ = 8x^6 – 8x^3y – 6y^
Question 5
Use the square rule: x^2 + 8x + 16 Question 6
Difference of squares: x^2 – 25y^ Question 7
Question 8
Sum of cubes:
a = y, b = 5 (y+5)(y^2-5y+25) Question 13
Subtract 4x: X^3 – 4x = 0 Factor: X(x^2 – 4) = 0 Factor the difference of squares: X(x-2)(x+2) = 0 So: X = 0, 2, or - Question 14
Divide by 2: 2m^2 + 7m – 15 = 0 Factor: (2m-3)(m+5) = 0 2m-3=0 or m+5= M = 3/2 or - Question 15
Make two equations: X^2 + 2x – 36 = 12 and –x^2-2x+36= Subtract 12 from each: X^2 + 2x – 48 = 0 and –x^2 – 2x + 24 = 0
Factor each: (x+8)(x-6) = 0 and (x+6)(x-4) = 0 So x = -8, -6, 4, or 6 Question 16
area = lw L = w + 3 Pythagorean: A^2 + b^2 = c^ W^2 + (w+3)^2 = 15^ W^2 + w^2 + 6w + 9 = 225 Combine: 2w^2 + 6w – 216 = 0 Divide by 2: W^2 + 3w – 108 = 0 Factor: (w-9)(w+12) = 0 W = 9 or - The dimensions are 9 by 12. The area is 9 times 12: 108 square inches Question 17
Plug in h = 6.72:
