Algebra math questions

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Mathematics

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Question 51 1. Select the graph that represents the inverse of the function shown in the graph below. Question 52 1. If the gradient of a hill is 5%, what is the corresponding slope of the hill? 5 Question 53 1. Find the slope of the line that passes through the points (2, 5) and (1, –4). –9 9 Question 54 1. Last summer, Kevin had $400 in his savings account. After 6 months, he had a total of $580 in the account. Using this information, how can you describe the rate of change in the dollar amount in the account per month? an increase of $30 per month a decrease of $30 per month an increase of $180 per month a decrease of $180 per month Question 55 1. The following below shows values for x and y. If y varies directly with x, what is the constant of variation? x y 2 -10 3 -15 4 -20 5 -25 -4 0 -5 -3 Question 56 1. Given that a car can drive 57 miles with 3 gallons of gasoline, how many gallons does it need to drive 133 miles? 5 gallons 7 gallons 9 gallons 11 gallons Question 57 1. Which equation of a line is written in standard form? Question 58 1. What is the x-intercept of the line whose equation is ? 0 20 16 80 Question 59 1. Select the equation that represents a line with a slope of 3 and that contains the point (-4, 2). Question 60 1. Select the equation of the line that is equivalent to the equation: Question 61 1. Which equation represents a line with a y-intercept of 3 and a slope of -4? . Question 62 1. Write the equation of a line that passes through the points, (4, 3) and (5, 7) in point-slope form, . Question 63 1. Select the equation of the line shown in the graph below. Question 64 1. Which point does the line with equation (7, -4) (-7, 4) (4, -7) (-4, 7) pass through? Question 65 1. Select the graph that shows the line represented by the equation . Question 66 1. How can the correlation in the scatter plot graph below best be described? positive correlation negative correlation both positive and negative correlation no correlation Question 67 1. The scatter plot graph shows the average annual income (I) for a certain profession, based on the number of years of experience (E). Which of the following is most likely to be the equation of the trend line for this set of data? I = 5350E + 37100 I = 5350E – 37100 I = 5350E E = 5350E + 37100 Question 68 1. What is the slope of the vertical line shown in the graph below? -4 1 0 The slope is undefined. Question 69 1. What is the equation of the vertical line graphed below? x=5 y = 5x y=5 y=x+5 Question 70 1. Line L passes through the points (1, 1) and (7, 8). What is the slope of a line that is perpendicular to line L? Question 71 1. Which equation represents a line that is parallel to point (-1, 2)? and that passes through the Question 72 1. Which best describes the polynomial ? Second degree binomial Third degree binomial Third degree trinomial Fourth degree trinomial Question 73 1. Given and , find . and , find . Question 74 1. Given Question 75 1. Simplify the expression: . Question 76 1. Use the FOIL method to multiply the binomials: . Question 77 1. Find the greatest common factor (GCF) of the polynomial: 5 Question 78 1. How can the polynomial, be factored using the GCF? Question 79 1. Which polynomial can be factored as ? Question 80 1. One of the factors of is (2x + 3). What is the other factor? Question 81 1. Select the polynomial that can be factored as . . Question 82 1. How can the difference of squares, , be written in factored form? Question 83 1. How can the sum of cubes, , be written in factored form? Question 84 1. How can the sum of cubes, , be written in factored form? Question 85 1. Solve the quadratic equation: . x = 10 x = 100 Question 86 1. What are the solutions to the equation x = 3 and x = 7 x = –3 and x = 7 x = 3 and x = –7 x = –3 and x = –7 ? Question 87 1. Solve the quadratic equation by factoring: . x=8 x=4 Question 88 1. Solve the quadratic equation by factoring: . x = –5 or x = 8 x = –5 or x = –8 x = 5 or x = –8 x = 5 or x = 8 Question 89 1. What number should be added to the expression square trinomial? 3 9 Question 90 1. Solve the equation x = 1 or x = 5 by completing the square. ___ in order to create a perfect Question 91 1. If there is one real number solution to the quadratic equation, possible value of c? , what is a 1 -2 0 3 Question 92 1. Use the Quadratic Formula to solve the equation: . Question 93 1. Which quadratic function has a wider graph than Question 94 1. What are the roots of the parabola shown in the graph? ? 0 and 1 -2 and 3 -3 and 2 There are no roots Question 95 1. Which value represents the x-coordinate of the vertex in the quadratic function -1 1 Question 96 1. A rectangular garden is to be fenced so that one of the sides is 5 feet longer than an adjacent side (s). Which of the following quadratic functions can be used to represent the area of the garden?
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