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Description QUESTION 1 Determine which of the following points lies on the graph of the equation: (0,7) (0,6) (0,5) (6,5) (1,5) 5 points   QUESTION 2 Complete the table.  Use the resulting solution points to sketch the graph of the equation. 5 points   QUESTION 3 Graphically estimate the x- and y- intercepts of the graph: y = x3 - 9x x-intercept: (±3,0),(0,0) y-intercept: (0,0) x-intercept: (3,0),(0,0) y-intercept: (0,0) x-intercept: (-3,0),(0,0) y-intercept: (0,0) x-intercept: (0,±3),(0,0) y-intercept: (0,0) x-intercept (0,3),(0,0) y-intercept (0,0) 5 points   QUESTION 4 Find the x- and y-intercepts of the graph of the equation  y=49-7x x-intercept: (7,0) y-intercept: (0,-7) x-intercept: (49,0) y-intercept: (0,7) x-intercept: (-7,0) y-intercept: (0,-49) x-intercept: (49,0) y-intercept: (0,49) x-intercept: (7,0) y-intercept: (0,49) 5 points   QUESTION 5 Determine whether the value of x=7 is a solution of the equation: no yes 5 points   QUESTION 6 Solve the equation 8-5x=6 5 points   QUESTION 7 Solve the equation and check your solution. -2-4x=30 9 -11 -8 7 -10 5 points   QUESTION 8 Solve the equation and check your solution. 5y + 1 = 6y - 5 + 8y 2/3 3/2 6/5 5/6 -2/3 5 points   QUESTION 9 Solve the equation and check your solution. 67x - 24 = 3x + 8(8x-3) 3 67 -3 -67 All real numbers 5 points   QUESTION 10 Solve the equation and check your solution. 10 6 7 9 8 5 points   QUESTION 11 Solve the equation and check your solution.  (If not possible, explain why.) 2 5 6 4 10 5 points   QUESTION 12 Solve the equation and check your solution.  (If not possible, explain why) -18 7 11 No solution.  The variable is divided out. 20 5 points   QUESTION 13 Write the quadratic equation in general form. 4x2 = 8 - 9x 4x2 + 9x + 8 = 0 4x2 + 9x = -8 4x2 - 9x - 8 = 0 -4x2 + 9x - 8 = 0 4x2 + 9x - 8 = 0 5 points   QUESTION 14 Solve the quadratic equation by factoring. x2 - 6x + 5 = 0 -1, 5 -1,-5 1,-5 1,5 6,5 5 points   QUESTION 15 Solve the quadratic equation by factoring. x2 + 8x + 16 = 0 4 -1/4 -4 ±4 1/4 5 points   QUESTION 16 Solve the equation by extracting square roots. (x+6)2 = 5 6 + ?5 -6 ± ?5 -6 -?5 6 ± ?5 -6 + ?5 5 points   QUESTION 17 Use the Quadratic Formula to solve x2 + 20x + 98 = 0 x = -8, x = -12 x = -?2 - 10, x = ?2 - 10 x = -?3 - 10, x = ?3 - 10 x = 10, x = -10 x = -?2 - 9, x = ?2 - 9 5 points   QUESTION 18 Write the complex number in standard form. ? -9  3i -3i 9i 4i -9i 5 points   QUESTION 19 Find real numbers a and b such that the equation is true. a + bi = 14 + 2i a=16, b=4 a=18, b=6 a=14, b=2 a=15, b=14 a=17, b=5 5 points   QUESTION 20 Find all solutions to the following equation. x = -17/4 x=9 no solution x=-17 x=-8

Description solve for a and b 56a+97b=865 85b+96a=935

Description OPEN ENDED Write two rational expressions that are equivalent. OPEN ENDED Write two polynomials that have a LCM of d3 - d. Writing in Math Use the information about rational expressions on page 462 to explain how rational expressions are used in mixtures. Include an example of a mixture problem that could be represented by  Find page 462 attached.

Description Writing in Math Refer to the information on page 411 to explain how inverse functions can be  used in measurement conversions. Point out why it might be helpful to know the customary units  if you are given metric units. Demonstrate how to convert the speed of light c = 3.0 × 108  meters per second to miles per hour. 

Description Find a and b 56a+67b=567 76b+89a=980

Description 1. OPEN ENDED Write a system of equations with one linear equation and one quadratic equation for which (2, 6) is a solution. 2. Writing in Math Use the information on page 306 to explain how the graph of y = x2 can be used to graph any quadratic function. Include a description of the effects produced by changing a, h, and k in the equation y = a(x - h)2 + k, and a comparison of the graph of y = x2 and the graph of y = a(x - h)2 + k using values of your own choosing for a, h, and k. 3. Writing in Math Use the information on page 314 to explain how you can find the time a trampolinist spends above a certain height. Include a quadratic inequality that describes the time the performer spends more than 10 feet above the ground, and two approaches to solving this quadratic inequality. Please help, I've been stuck on these for days! Thanks.

Description Write the expression in quadratic form, if possible. a^8 + 10a^2 - 16 A. (a^4)^2 + 10(a^2) - 16 B. (a^2)^2 + 10(a^2) - 16 C. a^2[(a^2)^2 + 10(a)] - 16 D. cannot be written in quadratic form

Description Assignment 5.1: Manipulating Functions Complete the following problems. Be sure to show all work. Use the graph of to sketch the graph of the following functions. Also, describe in words each transformation that you applied. Use the graph of to sketch the graph of the following functions. Also, describe in words each transformation that you applied. Find the domain of the following functions. Give your answer in interval notation. Given and find , , , and . Given and find , , and . Find the inverse of the following one-to-one functions. Use composition to verify that the following functions are inverses. Sketch the graphs of the following functions and their inverses. Simplify your answers. Simplify your answers.

Description Expand the logarithmic expression using the product property of exponents. log4 3y A. 4 log 3y B. log43 + log4y C. log43 • log4y D. 3 log4y Expand the logarithmic expression using the quotient property of exponents. log5 (15/4) A. log515 + log54 B. log515 - log54 C. log54 - log515 D. log53.75 Expand the logarithmic expression using properties of logarithms. log3 5x^2 A. LOG3 5 + LOG3 X2 B. 2 LOG3 5 + LOG3 X C. LOG3 5 + 2 LOG3 X D. 2(LOG3 5 + LOG3 X) If log6 2 ? 0.3869, estimate the value of log6 32. 5.3333 82.7087 1.9345 12.3808 If log4 2 = 0.5 and log4 3 ? 0.7925, estimate the value of log4 96. 3.2925 1.9813 1.9823 5.7925 If log6 2 ? 0.3869 and log6 3 ? 0.6131, estimate the value of log6 3/2. 0.2262 0.6311 1 -0.2262 What is log3 5 + log3^ 2 - log3 10 equal to? A. log3 -3 B. -1 C. 0 D. 1 Solve the equation. log2 (y + 2) - log2 (y - 2) = 1 y = 6 y = 4 y = 2, -2 y = -2 Solve the equation. log5 64 - log5 8/3+ log5 2 = log5 (4p) p = 15.8 p = 1 ? p = 85 ? p = 12 Solve the equation. log6 (a + 2) + log6 2 = 2 a = 70 a = 2 a = 16 a = 4

Description Many students find that adding and subtracting rational expressions can be complicated because there can be numerous steps used to solve an equation. Given all these steps, it’s easy to make mistakes, but there are ways to avoid common mistakes. For example, a student might use line paper so that her steps are clear, while another student may know a trick for checking her answers midway through a problem. What method or methods do you use to ensure you don’t make small mistakes when adding and subtracting rational expressions? How do you stay organized with your steps when you add or subtract rational expressions? Does your approach seem to work well? Why or why not?