homework mix test # 16

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$part2c advanced math try on your own directions take as much time as you need on these questions. work carefully and methodically. there will be an oppor- tunity for timed practice later in the book. q hint: for q3, what value in the denominator would make the fraction undefined? for what positive value of x is the equation — -— -------- = 0 undefined? 2x 2 4- 4x - 6 m at h which of the following is an equivalent form of the expression (6 - 5.x) (15x — 1 1)? ® -75a~ + 35x - 66 © —75a*2 4- 145a* — 66 © 90a*2 - 14lx + 55 © 90a*2 4- 9a* + 55 □ what is the sum of the roots of 3x 2 4- 9x = 54? i © -6 i © -3 l © 3 ; © 6 h f(x) = (1.3x - 3.9) 2 - …$

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$pression 2x 2 — 28x 4- 98 = a(x - b) 2 , a > 1 and both a and b are constants. which of the following could be the value of b? ® —7 ® 7 © 14 i © 49 6 for all d and b» what is the sum of (a - b) 2 and © 2d 2 — 2b 2 © 2d 2 4- 2b 2 © 2d 2 4- 4ub + 2b 2 ■ hint: for q7, how can you remove the fraction to make factoring easier? tvhat is the positive difference between the roots of the equation}’ — -x 2 — 2x 4- 3? 8 hint: for q8, look for a classic quadratic in the denominator. fix) = ----------5— ---------------j (x - 7) 2 + 6(x - 7) 4- 9 for which value of x is the functionyfx) undefined? chapter 13 quadratics try on …$

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25mv , © *=~ 3~± ---------3 i 5m , 725m 2 + 12mv1(d) x = -t ± ---------3 16 the product of all the solutions to the equation "sv2 4- 4v — 2 = 0 is m. what is the value of al? 19 hint: for q19, start with the standard form of a quadratic equation. x(dx + 10) = —3 the equation shown, where d is a constant, has no real solutions. the value of d could be which of the following? i (a) -12 ® 4 © 10 17 what are the solutions to the equation 4x 2 — 24x +16 = 0? (a) x = 3 ± v5 (b) x = 4 ± v6 i © x = 5 ± v3 © x = 5±2v2 20 which equation has no real solutions? ; (a) x2 + 8x - 12 = 0 ; ® x2 - 8x + …

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both equations are equal to a. a = b 2 + 4b - 12 <1 = -12 + b ine ordered pair {a, b) satisfies the system ot equa- tions shown. what is one possible value of b? the graph of the function f defined by fix) = — 2(x — 3) 2 — 4, is shown in the xy-plane. the function g (not shown) is defined by g(x) = 2x — 10. if/(c) = g (c), what is one possible value of c? © 3 i © 2 27 in the ay-coordinate plane, the graph of y — 5x 2 — 12x intersects the graph ofy = — 2x at points (0, 0) and (a, b). what is the value of a? 30 hint: for q30, solve for the points of intersection, then use the formula for distance in the coordinate plane. on the xy-plane, points p and q …

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part2c advanced math try on your own directions take as much time as you need on these questions. work carefully and methodically. there will be an oppor- tunity for timed practice later in the book. q hint: for q3, what value in the denominator would make the fraction undefined? for what positive value of x is the equation — -— -------- = 0 undefined? 2x 2 4- 4x - 6 m at h which of the following is an equivalent form of the expression (6 - 5.x) (15x — 1 1)? ® -75a~ + 35x - 66 © —75a*2 4- 145a* — 66 © 90a*2 - 14lx + 55 © 90a*2 4- 9a* + 55 □ what is the sum …

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