check my work
1.d 2.a 3.c 4.c 5.d 6.d 7.a 8.c 9.b 10.a 11.a 12.a 13.a 14.b 15.d 16.b 17.16 18.c 19.b 20.a 21.b 22.a 23.b
Question 1 (Multiple Choice Worth 3 points) [9.01] What is the value of the coefficient "b" when the quadratic equation y = (3x − 5)(2x + 3) is written in standard form? 19 6 −15 −1 Question 2 (Multiple Choice Worth 4 points) [9.02] Solve x2 − 4x = 12. x = −3, x = 4 x = 3, x = −4 x = 6, x = −2 x = −6, x = 2 Question 3 (Multiple Choice Worth 3 points) [9.05] How many and of what type are the solutions of a quadratic equation when the value of the radicand is 25? No real solutions Two identical rational solutions Two different rational solutions Two irrational solutions Question 4 (Multiple Choice Worth 4 points) [9.05] What are the approximate solutions of 3x2 − 5x = 3 rounded to the nearest hundredth? No real solutions x ≈ −1.41 and x ≈ 6.41 x ≈ −0.47 and x ≈ 2.14 x ≈ −2.14 and x ≈ 0.47 Question 5 (Multiple Choice Worth 3 points) [9.05] How many and of what type are the solutions to x2 + 9x + 10 = 0? No real solutions Two identical rational solutions Two different rational solutions Two irrational solutions Question 6 (Multiple Choice Worth 3 points) [9.06] Using graphing technology, approximate where the graph of y = 5x2 − 3x − 9 crosses the x-axis. (1.55, 0) and (−1.15, 0) (1.23, 0) and (−1.26, 0) (1.32, 0) and (−1.01, 0) (1.68, 0) and (−1.08, 0) Question 7 (Multiple Choice Worth 4 points) [9.05] What are the exact solutions of x2 − 3x − 1 = 0? x = the quantity of negative 3 plus or minus the square root of 13 all over 2 x = the quantity of 3 plus or minus the square root of 13 all over 2 x = the quantity of negative 3 plus or minus the square root of 5 all over 2 x = the quantity of 3 plus or minus the square root of 5 all over 2 Question 8 (Multiple Choice Worth 3 points) [9.01] Which equation is a quadratic equation? y + 7 = −3x(4 − x) + 9x y = −2x + 5 y + 2x3 = (2x − 2)(x + 5) y − 9x = (x2 + 1)(5x − 1) + 3 Question 9 (Multiple Choice Worth 3 points) [9.06] Katie wants to hang a painting in a gallery but the painting and frame must have an area of 45 square feet. The painting is 6 feet wide by 7 feet long. The frame must have an equal width of x on each side. Which quadratic equation represents the area of the painting and frame combined? 4x2 + 26x + 45 = 0 4x2 + 26x − 3 = 0 x2 + 13x − 3 = 0 x2 + 13x + 45 = 0 Question 10 (Multiple Choice Worth 3 points) [9.05] Identify the graph of a quadratic equation with two irrational solutions. u-shaped graph opening up and crossing the x-axis at approximately (−2.41, 0) and (0.41, 0) u-shaped graph opening up and crossing the axis at (−3, 0) and (1, 0) u-shaped graph opening down and touching the axis at (−2, 0) u-shaped graph opening down and not crossing the axis. Question 11 (Multiple Choice Worth 4 points) [9.01] Identify the vertex for the graph of y = −3x2 + 6x − 2. (1, 1) (−1, 1) (1, −5) (−1, −5) Question 12 (Multiple Choice Worth 4 points) [9.05] Solve 2x2 + 5x + 5 = 0. Round solutions to the nearest hundredth. No real solutions x ≈ −3.27 and x ≈ 0.77 x ≈ −2.98 and x ≈ −7.02 x ≈ −0.77 and x ≈ 3.27 Question 13 (Multiple Choice Worth 4 points) [9.02] What are the x-intercept(s) of the graph of y + 20 = x2 − x? (−5, 0) and (4, 0) (5, 0) and (−4, 0) (−5, 0) and (−4, 0) (5, 0) and (4, 0) Question 14 (Multiple Choice Worth 4 points) [9.06] Using graphing technology, approximate the solutions of 0.64x2 − 0.28x − 4.8 = 0. x ≈ −2.62 and x ≈ 2.56 x ≈ −2.53 and x ≈ 2.97 x ≈ −2.78 and x ≈ 2.33 x ≈ −2.61 and x ≈ 2.84 Question 15 (Multiple Choice Worth 4 points) [9.02] Where does the graph of y = 2x2 + 5x − 3 cross the x-axis? (−1 over 2, 0) and (3, 0) (1 over 2, 0) and (−3, 0) (3 over 2, 0) and (−1, 0) (−3 over 2, 0) and (1, 0) Question 16 (Multiple Choice Worth 4 points) [9.02] Identify the solutions of 3x2 − 7x + 4 = 0. x = −1 over 3, x = −4 x = 1 over 3, x = 4 x = −4 over 3, x = −1 x = 4 over 3, x = 1 Question 17 (Fill-In-The-Blank Worth 5 points) [9.06] Fill in the missing term so that the quadratic equation has a graph that opens up, with a vertex of (– 2, – 16), and x intercepts at x = -6 and x = 2. (Do not include the negative sign in your answer.) y = x2 + 4x − ___ Numerical Answers Expected! Answer for Blank 1: Question 18 (Multiple Choice Worth 4 points) [9.01] The graph of which quadratic equation is shown below? a u-shaped graph on a coordinate plane that is opening up and has a vertex of (1, −9) y = x2 − 2x − 8 y = x2 + 2x − 8 y = −x2 + 2x − 8 y = −x2 − 2x − 8 Question 19 (Multiple Choice Worth 3 points) [9.02] What are the solutions of 5x2 = −15x? x = 5, x = 3 x = 5, x = −3 x = 0, x = 3 x = 0, x = −3 Question 20 (Multiple Choice Worth 4 points) [9.01] Determine whether the graph of y = x2 − 4x + 1 has a maximum or minimum point, then find the maximum or minimum value. Minimum; (2, -3) Maximum; (2, -3) Minimum; (-3, 2) Maximum; (-3, 2) Question 21 (Multiple Choice Worth 4 points) [9.06] Rebekah kicks a soccer ball off the ground and in the air with an initial velocity of 25 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches? 9.5 feet 9.8 feet 10.2 feet 10.7 feet Question 22 (Multiple Choice Worth 3 points) [9.01] Determine whether the graph of y = 3x2 + 2x − 10 opens up or down and whether it has a maximum or minimum point. Up; Minimum Up; Maximum Down; Minimum Down; Maximum Question 23 (Multiple Choice Worth 4 points) [9.06] A firecracker shoots up from a hill 160 feet high with an initial speed of 105 feet per second. Using the formula H(t) = −16t2 + vt + s, determine how long it will take the firecracker to hit the ground. 7.5 seconds 7.8 seconds 8.1 seconds 8.3 seconds
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