Note: This Final Exam Pre-test can be used for both on-line and on-campus Math 52.

Transcription

1 Norco College Math 52 Final Exam Pre-Test Note: This Final Exam Pre-test can be used for both on-line and on-campus Math 52. The section from which each exercise is taken is indicated in either red or blue: red for the on-line course and blue of the on-campus course. Answer each as indicated.. [Sec..8-.9] [Sec..8-.9] Simplify: p 6(p 9) + p 2. Solve for k: 5 6 k = 0. Solve for a: (a + ) + a = 2 4. Solve for x: x 6 = 2x 2 5. [Sec ] [Sec ] Solve the inequality and graph the result on a number line: 5x + 7 > 2x + 6. [Sec ] [Sec ] Solve the inequality and graph the result on a number line: 4 x -x 6 For all application problems, be sure to write each answer as a complete sentence [Sec.2-.] [Sec..2-.] [Sec.2-.] [Sec..2-.] Beatriz owns some shares of Apple stock and some shares of FedEx stock. By the end of the year, her two stock investments gained a total of $,500 in value. If her FedEx stock gained 4 as much value as her Apple Stock, how much did each investment gain? In a right triangle, the shortest side is inches less than the middle side, and the longest side is 9 inches shorter than twice the middle side. If the perimeter is 6 inches, what is the length of each side? Math 52 Final Exam Pre-Test page of 7

2 For answers with exponents, be sure to write the answer with positive exponents only [Sec. 6.] Simplify: y4 y 6 [Sec. 4. & 4.6] [Sec ] Simplify: m m [Sec. 6.] [Sec. 4. & 4.6] [Sec ] x0 Simplify: x 2 Simplify: k - k [Sec. 6.] Simplify: ( x 2 ) 5 [Sec. 4. & 4.6] [Sec ] Simplify: ( x ) -4 b 2 [Sec. 6.] Simplify: a Be sure to write all polynomial answers in descending order [Sec 4.2] [Sec. 6.5] Add: (4x + 2x 2 x 8) + (2x x + 8) [Sec 4.2] [Sec. 6.5] Subtract: (4x + 2x 2 x 8) (2x x + 8) [Sec 4.] [Sec. 6.6] Multiply: 2a (5a 2 4a + ) [Sec 4.4] [Sec. 6.6] [Sec 4.5] [Sec. 6.7] Multiply: (2b )(b + 4) Multiply: (2x + 5)2 2. [Sec 4.7] [Sec. 6.] Simplify and write in scientific notation: (2.6 x 0 6 ) (.5 x 0 - ) 22. [Sec 5.] [Sec. 6.8] Divide: 2a b 9a 2 b 2 + 6ab ab Math 52 Final Exam Pre-Test page 2 of 7

3 For each factoring problem, be sure to factor completely, showing all factors in the answer. If a polynomial cannot be factored, then write prime [Sec 5.2] [Sec. 7.] Factor: 6a2 b 2ab 2 [Sec 5.2] [Sec. 7.] Factor: -2x x [Sec 5.] [Sec. 7.2] Factor: 2ab2 4b 2 + 5a 0 [Sec 5.] [Sec. 7.2] Factor: 5x 20x 2 6x + 8 [Sec 5.4] [Sec. 7.] Factor: 5x2 6x 8 [Sec 5.4] [Sec. 7.] Factor: 0p2 p + [Sec 5.5] [Sec. 7.4] Factor: x2 + x + 24 [Sec 5.5] [Sec. 7.4] Factor: y2 + 9y 6 [Sec. 7.5] Factor: y2 6 [Sec. 7.5] Factor: 4y [Sec. 7.5] [Sec. 7.5] Factor: 6a 54a Factor: y + 2y 2 5y 5. [Sec 6.2] [Sec. 6.8] Divide using long division: 2x 2 7x + 7 x For each rational expression, be sure to simplify the result completely. 6. [Sec 6.] [Sec. 8.2] Multiply: x 2 x 6 2x 2 + 9x + 0 2x2 + 5x + 25 x 2 25 Math 52 Final Exam Pre-Test page of 7

4 [Sec 6.4] y [Sec. 8.] Add: y 2 4y 5 + y 2 4y 5 [Sec 6.4] 4x + x [Sec. 8.] Subtract: x 2 x 6 x 2 x 6 [Sec 6.5] 2x [Sec. 8.4] Subtract: x 2 4 x + 2 [Sec 6.5] [Sec. 8.4] Add: x + 2 x 2 + x + x + 4 x + Answer each as indicated [Sec 7.] [Sec. 0.] Solve: x2 + 8x = 0 [Sec 7.] [Sec. 0.] Solve: 5x2 7x 2 = 0 [Sec 7.] [Sec. 0.] Solve: x2 = 6x + 6 [Sec. 7.] [Sec. 0.4] Solve: p = p [Sec. 7.] [Sec. 0.4] Solve: x x 2 + x = 6 x + + x 46. [Sec 8.] [Sec. 4.4] Find the slope of the line that passes through (4,-) and (-5, ). 47. [Sec 8.4] [Sec. 4.] Identify the slope and y-intercept point of the line y = 2 5 x. Graph the line. 48. [Sec 8.5] [Sec. 4.5 ] Write the equation of the line whose graph has slope 4 intercept at (0, ). and y- 49. [Sec 8.5] [Sec. 4.5] Write the equation of the line whose graph has slope -2 and passes through the point (8,) Math 52 Final Exam Pre-Test page 4 of 7

5 [Sec 8.6] [Sec. 4.6] [Sec 8.6] [Sec. 4.6] [Sec 0.] [Sec. 9.] [Sec 0.2] [Sec. 9.2] Identify the slope and y-intercept point of the line 4x + y = 6. Graph the line. Find the x-intercept and y-intercept of the line 4x - 5y = 20. Graph the line. Simplify: 54 Simplify and add: [Sec 0.2] 0 [Sec. 9.4] Rationalize the denominator and simplify: [Sec 0.2] [Sec. 9.4] Rationalize the denominator and simplify: [Sec 0.] [Sec. 9.] Multiply and simplify: ( 2 + )( 2 ) Math 52 Final Exam Pre-Test page 5 of 7

6 Math 52 Final Exam Pre-Test Answers. -2p k = 6. a = x = - 5.* x > -2 6.* x 5 7. Her Apple stock gained $2,000 and her FedEx stock gained $, The shortest side is 9 inches, the middle side is 2 inches, and the longest side is 5 inches. 9. y 0 0. m6. x8 2. k. x b 6 27a 6. 6x + 2x 2 6x 7. 2x + 2x a 5 8a 4 + 2a 9. 6b 2 + 5b x x x a 2 ab ab(a 2b) x (x 2 5) 25. (2b 2 + 5)(a 2) 26. (5x 2 2)(x 4) 27. (5x + 4)(x 2) 28. (5p )(2p ) 29. (x + )(x + 8) 0. (y + 2)(y ). (y 6)(y + 6) 2. Prime. 6a(a )(a + ) 4. y(y + 5)(y ) x + x x x 5 x y 5 x + 6 x 8. x 2 x 4. x = 0, x = - 5, 2 4. x = -2, p = -2, 45. x =, m = * m = 2 5 ; y-int = (0, -) 48. y = 4 x y = -2x * m = -4 ; y-int = (0, 2) 5.* x-int = (5, 0), y-int = (0, -4) * Graphs are on the next page. Math 52 Final Exam Pre-Test page 6 of 7

7 #5 x > -2 #6 x! #47 y + #50 y + (-, 6) (0, 2) x (-5, -5) y (0, -) (5, -) x + x y x + (, -2) (6, -6) #5 y + x (5, 0) x + (0, -4) y Math 52 Final Exam Pre-Test page 7 of 7