University of Houston Analytic Geometry and Trigonometry Math Questions

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qxuba1119

Mathematics

University of Houston

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I have a math evaluation sheet I need answered. Do not need to include long explanation, just need answers to be correct. Thanks!

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Math Self-Evaluation Admissions Show all work clearly and circle answers. 1. Simplify: a. 18 - 9 x (-4) ÷ 3 + 10 x 2 b. (32 - 22)3 + 42 ÷ 6 x 32 - 9 c. 4 3 ÷ 2 - 23 x 6 + 8(-1)10 2. Evaluate: a. -4b - 2 - 3a - 1 4a 5b - 3 for a = 4, b = 5 b. 3x2y - 2xy2 + 10xy - 15y for x = -5, y = 3 3. Simplify and combine like terms: a. 15x 2y - 4(-2xy 2 - 9xy ) + 12xy 2 - 8xy - 9x b. (8x - 5)(x 2 + 6x )- (9x + 2)(4x 2 - 3x ) c. (1- x )3 4. Solve for the given variable: a. 6y - 5 = -2y + 9 b. 6(3n - 9) + 45 = 12 - 4(9 - 2n) c. 3x + 4 = 5 x-2 6 d. 8t - 6t - 1 = 5 2 e. 4 - x = 0 x 8 AMGATEST 2.0.0 Page 1 of 4 5. Identify the constants in the following terms: 3 a. - 2a 7 3 b. 4 r 3 c. -1 5x 6. Express the following using inverse notation: 1 5x3 a. b. -1 c. 4t - 7 2 ( ) 2 n+1 7. Simplify: a. 9 -2 x 62 b. - 48a -4b 6 144a 5b -3 c. (8x7y2)(2x -1y-6)3 d. ( 3a2b 2ab -3 ) 3 8. Factor: a. 5x2 - 80 b. a2 - 7a + 12 c. 18x 4y 2 + 21x 5y - 6x3y2 9. Solve for the given variables: a. (5x + 8)(12 - 12x) = 0 b. 3x 3 -12x 2 - 96x = 0 c. { 8x - 7y = -9 -3x + 4y = 2 10. Simplify: a. -12t 7 + 18t 9 -6t 3 2 b. 2x3 - 4x 2x - 8x c. 27a 3b 3 * d. 3a 3b 9 75a 8b 3a 4b -3 AMGATEST 2.0.0 Page 2 of 4 11. Graph the given equations: a. y = (x + 3)2 - 4 b. y x – =–2 3 6 c x–2 5 – =0 3 2y – 4 d. y = x 3 + 3x 2 – 6x e. y= 8 4–x AMGATEST 2.0.0 Page 3 of 4 12. Evaluate the function: a. Find f(-3) if f (x) = b. Find f ( ) 6 if f (x) = 3x 3 9 x + – 4x + 2x2 3 2 –5cos(9x) 2sin(–x) 13. Analytic geometry and trigonometry: a. Find the slope of the line going through the points (-7, 7) and (3, -5). b. Using the point-slope formula, find the equation of the line going through the two previous points. c. Find the distance between the points (-2, -5, 8) and (4, 0, -3). d. Simplify: ( e. Simplify: sin(x) + cos(x)tan(x) tan(x) 3tan(315°) + 6sin(90°) -2cos(60°) ) f. Solve the following right triangle: AMGATEST 2.0.0 Page 4 of 4
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