QUESTIONS 1 10 MAY BE DONE WITH A CALCULATOR QUESTIONS ARE TO BE DONE WITHOUT A CALCULATOR. Name
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1 QUESTIONS 1 10 MAY BE DONE WITH A CALCULATOR QUESTIONS 11 5 ARE TO BE DONE WITHOUT A CALCULATOR Name
2 2 CALCULATOR MAY BE USED FOR 1-10 ONLY Use the table to find the following. x y Find the correlation coefficient ( r) 2. Find the equation for the line of best fit.. Use the equation of the line of best fit to find y, when x = Evaluate x + x 2x+ 1, when x= 6 Write the augmented matrix and solve the system. 5. x+ 2y+ z = 1 x y z = 5 6x+ 4y+ 2z= 2 Solution: 6. A baseball is hit upward modeled by the formula h(t) = 80t 16t 2. What is the maximum height reach by the baseball and how long does it take for the ball to hit the ground? 7. Determine consecutive values of x between which each real zero is located. f(x) = -6x + 5x 2 x - zeros: 8. Solve using the quadratic formula. -2x 2 + x + 1 = 0 9. Evaluate the expression Find the coordinates of the vertex and the equation of the axis of symmetry. vertex = f(x) = 5x 2 12x - 4 axis =
3 NO CALCULATOR IS TO BE USED FOR Simplify the expression -7x + 28y 8z 15x 12y + 1z 12. Use the table to find the range and domain of the relation. Then determine if D: the relation is a function. x y function R: not function 1. Determine if the following are linear. x + 4y = 12 x 2 + y 2 = Find the x-intercept and y-intercept of the -x + 2y = -18. x-intercept: (remember ordered pairs) y-intercept: 15. Find each of the following if f(x) = -2x 2 4x + 6 f(-) = f(2) = 16. Write the equation of the line in slope-intercept form, that passes through the point (9, -8) and is perpendicular to the line y = -x Describe the transformations that changed f(x) = x 2 to g(x) = - (x + 5) Evaluate the expression for x = x Solve the inequality, then given your solution in interval notation. x+ 9 > 12
4 4 NO CALCULATOR IS TO BE USED FOR Solve for x x 5 = What is the slope of the line parallel to 5x 2y = Solve the inequality, then give your solution in interval notation 6x Which of the points would be on the line that is perpendicular to the line x = 5 (-5, 8) and contains the point (-5, -6)? (8, -6) (5, 0) 24. Write the piecewise functions of the graph. 25. Graph: y < x Write in standard form: y = 6x - 9
5 NO CALCULATOR IS TO BE USED FOR Find the axis of symmetry, vertex and graph y = -(x ) 2-4 Axis: Vertex: Solve by method of your choice. Check your solution. 28. y = 2x 4 7x 5y = x + y = 18 5x y = Graph each system of linear inequalities. y< 2x+ y x 1 y> 1. Find the coordinates of the vertices of the figure formed by the system below.. y x y< 4x+ 2 x< 1 2. On opening night of the drama club s play, they made $166. They sold a total of 199 tickets. They charged $8 for each adult ticket and $5 for each child s ticket. Write a system of equations that can be used to find the number of adult tickets and the number of children s tickets sold.
6 6 NO CALCULATOR IS TO BE USED FOR Solve by using the graph and state the domain and range. Domain: Range: 4. Simplify: ( 5 + 6i)( 4+ i) 5. Simplify: 1+ i i 6. Solve by factor. x 2 2x 8 = 0 7. Solve: (x 2) 2 = Find the term needed to form a perfect square trinomial. Write the resulting Perfect square trinomial in factored form used to complete the square. x 2 + 2x 48 = 0 9. Graph the quadratic inequality for y < -(x + 2) 2 4
7 NO CALCULATOR IS TO BE USED FOR Find the y-intercept and the equation of the axis of symmetry for the y-intercept: quadratic function: f(x) = x 2 14x + axis = 41. Use the quadratic formula to solve the equation ax 2 + bx + c = 0. x b± b 2 4ac 2a = -2x 2 = - x Divide: ( x 2 5x + 24) ( x + ) 4. Write a quadratic equation with the roots - and 6 in the form ax 2 + bx + c = Simplify. Use positive exponents ( x y )( x y ) 2 8 ( x y ) 45. Simplify. Use positive exponents. 5 h h h Simplify. Use positive exponents. ( 5a b c )( 17a b c ) 47. Evaluate if x = 11, y = 7, and z = - 10( x y) 2 xy z 2
8 8 NO CALCULATOR IS TO BE USED FOR Divide: ( 2x 4x + 7x 4) ( x 2) 49. Find P (-2) for the function: P(x) = 2x 4 5x + x 2 2x Which correlation coefficient for the data graphed below is closer to 1 and Close to 1: which is closer to 0? A. B. Close to 0: 51. Simplify: 5x 2 (4x 2 y 6xy 4 +9x 2 y + 10y) 52. Simplify: 4(a 2 + 5a - 6) - (2a + 4a - 5) 5. Use the graphs to determine whether they represents an odd or even degree function and state the number of real zeros.
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