Name. 1. Given the solution (3, y), what is the value of y if x + y = 6? 7. The graph of y = x 2 is shown below. A. 3 B. 4 C. 5 D.
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1 Name 1. Given the solution (, y), what is the value of y if x + y = 6? 7. The graph of y = x is shown below. 5 D. 6. What are the solutions to the equation x - x = 0? x = - or x = - x = - or x = 1 x = or x = -1 D. x = or x =. A soccer ball is kicked upward with an initial velocity of 5 meters per second. How high will the ball be after seconds? Use the formula h = -5t + rt where h is the height in meters, t is the elapsed time in seconds, and 5 is the initial upward velocity (r). Which graph represents y = x² +? -5 meters 10 meters 715 meters D. 0 meters. Which expression describes the area of the rectangle shown? x - x + 5 x² + x 15 x² x + D. none of the above 5. From problem # above which expression describes the perimeter of this rectangle? x² + x 15 x² x + D. none of the above 6. From the graph given, what is the slope of the line? D. D. 8. Which ordered pair is the solution to the system? x + y = 1 x y = 6 (, 6) (.5, ) (, 0) D. (, -)
2 9. What is the solution of the system graphed below? (5, -) (, -5) (, 5) D. (-5, ) 1. A rectangular field measures 5 yards wide by 1 yards long as shown. What is the distance, d, from one corner to the opposite corner? 5 d 1 8 yards 1 yards 11 yards D. 18 yards 10. A theater owner found that the higher the of a movie ticket, the fewer the number of customers who purchased tickets. Choose the graph that best illustrates the owner s findings. tickets 1. Solve for x. 5x + (x + ) 7 = 5(x + 5) x = x = -6 x = - D. x = 1. Simplify: (x + 1) + (x ) tickets tickets 10x 10 10x 6 x 8 D. 10x 8 Use the table below to answer questions 15 & 16. The table shows various rates and the respective times it takes a cyclist to cover a given distance of 50 miles. Rate(mph) Time(hours) 5 10 hours 10 5 hours 15 hours 0 min. 0 hours 0 min. 5 hours 0 1 hour 0 min. D. tickets 15. A cyclist rode 50 miles in hours and 0 minutes. How fast was she riding? 5 mph 0 mph 15 mph D. 5 mph 11. The equation y = x + is graphed below. If this graph is shifted down units, what will be the equation of the new graph? y = x + 7 y = x y = x 1 D. y = -x 16. If a cyclist rode the 50 miles in a time of hours, then the rate was between 5 10 miles 15 0 miles miles D. 0 5 miles 17. The Student Council Sidewalk Sale featured used compact discs on sale at discs for $6.50. What would it cost to purchase 15 compact discs? $1.00 $.50 $6.00 D. $9.00
3 18. Which equation below represents the line that contains the ordered pairs (1, ) and (, 5)? y = -x + 9 y = x + 9 y = x + 1 D. y = -x Which of the following functions best represents the graph? y = x 5 y = x + 5 y = x + D. y = x. Kate went on a road trip with her new car. The trip is graphed below. Distance M. 10 M. 11 M. Noon 1 P.M. P.M. Time What is the average rate of speed for her trip? 0 mph 60 mph 50 mph D. 6.5 mph 0. This graph represents a diver s distance from the surface of the water at a given time time (sec) Which of the following is the correct range? {0 < y < 110} {0 < y < 50} {0 < x < 110} D. {0 < x < 50} 1. Simplify the expression below. + 7x (-x + 1) x x x + 7 D. x The length of a rectangle is times its width. The perimeter of the rectangle is 88 centimeters. Which system of equations below will determine the length, l, and the width, w, of this rectangle? l = w + w = l l + w = 88 l + w = 88 l = w D. l = w l + w = 88 l + w = Which function includes all the ordered pairs in the table? x y y = x y = x 6 y = x D. y = -x + 10 Use graph if needed. Mitch and Matt are basketball teammates. They recently combined to score of the teams points, with Mitch scoring twice as many points as Matt. How many points did Mitch score? D. 8. For the equation y = 5x 1 which of the following statements is true? The coefficient is 1 and the constant is -5. The coefficient is 5 and the constant is -1. The coefficient is -1 and the constant is 5. D. The coefficient is 5x and the constant is At which point will the graph of y = x 9 cross the x-axis? (0, 9) (7, 0) (, 0) D. (0, -) 8. The area of a rectangular garden is described by the equation w(w + ) = 5 where w is the width of the garden in meters. What is the width of the garden? D. 8
4 9. What is the value of x in the following equation? 5x + (x ) + 0 = 0 x x 1 D. x 17 7 x 1 0. Which graph below shows Bill earning $1 per hour? 1. Find the x-intercept and the y-intercept for the following equation. x 6y = (, 0) and (0, -6) (8, 0) and (0, ) (6, 0) and (0, ) D. (8, 0) and (0, -). Sam was selling lemonade in front of his house on Saturday. The table below shows how much money he made in relationship to the number of drinks, n, he Number of drinks Total money earned $9.00 $1.50 $18.00 $.50 $7.00 Sam wanted to sell at least $0 worth of lemonade. Which inequality represents this situation?.5n 6 < 0 1.5n + 9 > 0.5n + 6 > 0 D. 1.5n > 0. Which inequality best represents the graph shown below? x < 1 x < 1 x > 1 D. x > 1. What is the x-intercept of the function x y = 1? 1 D. - Use graph if needed D. 5. Which inequality matches the graph below? y < x y > x y > x D. y < x
5 6. Approximately how far is the ladder from the base of the building? ft 16 ft 11 ft 15 ft 1 ft D. 0 ft. Zachary has 70 coins in dimes and quarters. The total value of the coins is $1.55. Which system below will determine the number of dimes, d, and the number of quarters, q, which Zachary has? d + q = d + 0.5q = 1.55 d - q = d + 0.5q = Solve for x: x 7 = -8 x = -1 x = 1 x = -15 D. x = A train travels 0 miles every minutes. How many miles will the train travel in 0 minutes? miles 5 miles 1 miles D. 6 miles y x 9. The ratio of is the.. rule slope equation D. constant d + q = d + 0.5q = 70 D. d + q = d + 0.5q = 70 Use the following situation to answer #5 and #6. A baseball is hit into the air and reaches a height in feet given by the equation ht ( ) 16 t t, where h(t) represents the height of the ball, and t represents time in seconds. 0. Which ordered pair below is the solution for the system? y = x 16 y = x 8 (, 0) (, 16) (0, ) D. (, -) 1. What equation best describes the table below? x - - y -1 0 y = x + 1 y 1 x 1 y 1 x 1 D. y = -x 1. Which expression best represents the area of a square with sides of x y? 8x 6 y 8x 9 y 16x 6 y D. 16x 9 y. Which equation below has a y-intercept of 7 and slope of? y x 7 y 7 x 7 y = 7x + D. y = x How long is the ball in the air? the ball never leaves the ground 8 seconds seconds D. 1 second 6. What is the maximum height that the ball reaches? 1 foot 16 feet feet D. 17 feet 7. Which system has a solution of (5, -)? y = -x + 6 y = x 5 y = x 9 y = -x + 5 y = 5x D. y = x 1 y = 5x y = -x Find the solution to the following system. x = y + 1 x + y = 6 (1, ) (, 1) (1, 1) D. (-1, )
6 9. Simplify the expression: xy 6 x 5 y 1x 6 y 7 7x 6 y 7 1x 5 y 6 D. 7x 5 y Which graph shows the solution to the following system? y = x + y = x Which equation of a line has a y-intercept of 5 and a slope of? 5 y = 5x + y x 5 y x D. y = x Solve: x 5 < x < -1 x < 6 x < D. x < 8 D. 5. Chris is looking for a summer job. In order to pay for his ski trip, he must earn more than $1500. Which inequality states this? x < 1500 x < 1500 x > 1500 D. x > Find the slope in the table below. x Process y x? 1-1 D Which equation below will have a graph that is parallel to the graph of y = -x + 6? 58. Multiply (x + )(x 1). 6x 8x + 10x + 8x + x D. 6x + 10x 59. Factor x 7x + 6. (x + )(x + ) (x + 6)(x + 1) (x )(x ) D. (x 1)(x 6) 60. What expression is represented by the following tiles? y = x 6 y = 6x y = -x 6 D. y = -6x Where does the graph of the equation y = -x + cross the y-axis? -x + x x + D. -x - D. it does not cross the y-axis 56. When Charles arrived at his aunt s house in Wisconsin there was 7 inches of snow on the ground. The next day the snow started falling at a rate of inches per hour. Which function represents the total amount of snow after x hours? y = x + 5 y = x + 7 y = x + 7 D. y = x +
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