Maths Algebra Multiple Choice Problems with 100% Correct Answers

Question 1 Find the average rate of change of the function from x1 to x2.f(x) = 3x from x1 = 0 to x2 = 5A. -4B. 8C. 2D. 3Question 2Give the slope and y-intercept of each line whose equation is given. f(x) = -2x + 1A. m = 3; b = 4B. m = -2; b = 1C. m = 6; b = 7D. m = 2; b = 1Question 3Find the average rate of change of the function from x1 to x2.f(x) = ?x from x1 = 4 to x2 = 9A. 1/5B. 1C. 2D. 1/4Question 4Use the given conditions to write an equation for each line in point-slope form. Passing through (-8, -10) and parallel to the line whose equation is y = -4x + 3.A. y + 10 = -4(x + 8)B. y + 11 = 4(x2 + 8)C. y – 12 = -5(x + 20)D. y + 14 = -4(x – 5)Question 5Write an equation in general form of the line passing through (3, -5) whose slope is the negative reciprocal (the reciprocal with the opposite sign) of –1/4.A. 5x + y – 22 = 0B. 4x – y – 17 = 0C. 4x + y + 20 = 0D. 7x – y + 34 = 0Question 6Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6.A. f(x) = 6B. f(x) = 8C. f(x) = 3D. f(x) = 5Question 7Evaluate each function at the given values of the independent variable and simplify.f(x) = 4x + 51. f(6) 2. f(x + 1) 3. f(-x)A. 1. 27 2. 5x + 9 3. -4x + 8B. 1. 35 2. 4x + 9 3. -7x + 5C. 1. 29 2. 4x + 9 3. -4x + 5D. 1. 29 2. 3x + 8 3. 4x + 6Question 8Give the slope and y-intercept of each line whose equation is given.g(x) = -1/2xA. m = 3/4; b = -2B. m = 6; b = 7C. m = -1/2; b = 0D. m = 1; b = 8Question 9 Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of f is perpendicular to the line whose equation is 3x – 2y – 4 = 0 and has the same y-intercept as this line.A. f(x) = 2/3x – 4B. f(x) = -2/5x – 6C. f(x) = -2/3x – 2D. f(x) = -2/7x + 8Question 10Give the slope and y-intercept of each line whose equation is given.y = 2x + 1A. m = 3; b = 4B. m = 5; b = 1C. m = 6; b = 7D. m = 2; b = 1Question 11Determine whether the following equation defines y as a function of x:x2 + y2 = 16A. Y is a function of x.B. X is not a function of y.C. X is a function of x.D. Y is not a function of x.Question 12Evaluate each piecewise function at the given values of the independent variable.f(x) = 3x + 5 if x < 04x + 7 if x ? 01. f(-2)2. f(0)3. f(3)A. 1. -1 2. 7 3. 19B. 1. -5 2. 9 3. 19C. 1. -1 2. 7 3. 21D. 1. 6 2. 7 3. 19Question 13 5.0 PointsDetermine whether the following equation defines y as a function of x:x + y = 16A. Y is a function of x.B. Y is not a function of x.C. X is a function of y.D. X is not a function of y.Question 14Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.A. f(x) = -1/2x + 1B. f(x) = -1/5x + 3C. f(x) = 1/5x - 3D. f(x) = -2/5 x + 1Question 15Determine whether the following equation defines y as a function of x:x2 + y = 16A. Y is not a function of x.B. X is a function of y.C. X is not a function of y.D. Y is a function of x.Question 16Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0.A. 3x - 3y + 11 = 0B. 2x - 3y + 10 = 0C. 6x - 4y + 12 = 0D. 2x - 5y + 15 = 0Question 17 g(x) = x + 3 if x ? -3-(x + 3) if x < -31. g(0) 2. g(-6) 3. g(-3)A. 1. -1 2. 7 3. 19B. 1. 3 2. 3 3. 0C. 1. -7 2. 9 3. 2D. 1. 9 2. 7 3. 19Question 18g(x) = x2 + 2x + 31. g(-1)2. g(x + 5)3. g(-x)A. 1. 22. x2 + 12x + 383. x2 - 2x + 3B. 1. 42. x2 + 6x + 383. x2 - 3x +5C. 1. 72. x2 + 7x + 563. x2+ 4x + 7D. 1. 52. x2 -12x + 383. x2+ 5x + 7Question 19 of 205.0 PointsFind the average rate of change of the function from x1 to x2.f(x) = x2 + 2x from x1 = 3 to x2= 5A. 10B. 15C. 4D. 25Question 20 of 205.0 PointsDetermine whether the function is odd, even, neither, or can’t be determined:f(x) = x3+ xA. EvenB. OddC. NeitherD. Can’t be determined