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##### Maths Algebra Multiple Choice problems 100% Correct Solution

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Question;Question 1 40 times a number added to the negative square of that number can be expressed as:A. A(x) = x2 + 20x.B. A(x) = -x + 30x.C. A(x) = -x2 - 60x.D. A(x) = -x2 + 40x.Question 2 Solve the following polynomial inequality. 9x2 - 6x + 1 < 0A. (-?, -3)B. (-1,?)C. [2, 4)D. ?Question 3Find the domain of the following rational function. f(x) = 5x/x - 4A. {x?x? 3}B. {x?x = 5}C. {x?x = 2}D. {x?x? 4}Question 4 Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x2(x - 1)3(x + 2)A. x = -1, x = 2, x = 3, f(x) crosses the x-axis at 2 and 3, f(x) touches the x-axis at -1B. x = -6, x = 3, x = 2, f(x) crosses the x-axis at -6 and 3, f(x) touches the x-axis at 2.C. x = 7, x = 2, x = 0, f(x) crosses the x-axis at 7 and 2, f(x) touches the x-axis at 0.D. x = -2, x = 0, x = 1, f(x) crosses the x-axis at -2 and 1, f(x) touches the x-axis at 0.Question 5 "Y varies directly as the nth power of x" can be modeled by the equation:A. y = kxn.B. y = kx/n.C. y = kx*n.D. y = knx.Question 6 The graph of f(x) = -x2 __________ to the left and __________ to the right.A. falls, risesB. rises, risesC. falls, fallsD. rises, risesQuestion 7 The graph of f(x) = -x3 __________ to the left and __________ to the right.A. rises, fallsB. falls, fallsC. falls, risesD. falls, fallsQuestion 8 Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x4 - 9x2A. x = 0, x = 3, x = -3, f(x) crosses the x-axis at -3 and 3, f(x) touches the x-axis at 0.B. x = 1, x = 2, x = 3, f(x) crosses the x-axis at 2 and 3, f(x) crosses the x-axis at 0.C. x = 0, x = -3, x = 5, f(x) touches the x-axis at -3 and 5, f(x) touches the x-axis at 0.D. x = 1, x = 2, x = -4, f(x) crosses the x-axis at 2 and -4, f(x) touches the x-axis at 0.Question 9 The perimeter of a rectangle is 80 feet. If the length of the rectangle is represented by x, its width can be expressed as:A. 80 + x.B. 20 - x.C. 40 + 4x.D. 40 - x.Question 10 The difference between two numbers is 8. If one number is XXXXX by x, the other number can be expressed as:A. x - 5.B. x + 4.C. x - 8.D. x - x.Question 11 Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the following rational function. g(x) = x + 3/x(x + 4)A. Vertical asymptotes: x = 4, x = 0, holes at 3xB. Vertical asymptotes: x = -8, x = 0, holes at x + 4C. Vertical asymptotes: x = -4, x = 0, no holesD. Vertical asymptotes: x = 5, x = 0, holes at x - 3Question 12 Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x3 + 2x2 - x - 2A. x = 2, x = 2, x = -1, f(x) touches the x-axis at each.B. x = -2, x = 2, x = -5, f(x) crosses the x-axis at each.C. x = -3, x = -4, x = 1, f(x) touches the x-axis at each.D. x = -2, x = 1, x = -1, f(x) crosses the x-axis at eachQuestion 13 Find the domain of the following rational function. f(x) = x + 7/x2 + 49A. All real numbers 210C. All real numbers? 77D. All real numbersQuestion 14 Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the following rational function. f(x) = x/x + 4A. Vertical asymptote: x = -4, no holesB. Vertical asymptote: x = -4, holes at 3xC. Vertical asymptote: x = -4, holes at 2xD. Vertical asymptote: x = -4, no holesQuestion 15 5.0 Points Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers. f(x) = 2x4 - 4x2 + 1, between -1 and 0A. f(-1) = -0, f(0) = 2B. f(-1) = -1, f(0) = 1 Hence, there is one zero between x = -1 and x=1C. f(-1) = -2, f(0) = 0D. f(-1) = -5, f(0) = -3Question 16 Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = -2x4 + 4x3A. x = 1, x = 0, f(x) touches the x-axis at 1 and 0B. x = -1, x = 3, f(x) crosses the x-axis at -1 and 3C. x = 0, x = 2, f(x) crosses the x-axis at 0 and 2D. x = 4, x = -3, f(x) crosses the x-axis at 4 and -3

Paper#60974 | Written in 18-Jul-2015

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