8 th Grade Academic: Fall 2014 Semester Exam Review-Part 1

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1 Name Date Period 8 th Grade cademic: Fall 2014 Semester Exam Review-Part 1 1. Four schools,,, C, and D, all played the same number of football games this season. School won 70% of its games. School won 0.65 of its games. School C won 2 3 and School D won Circle the numbers below that are irrational numbers: 5¼ List, in order, the schools from the most wins, to the least wins. 6. On the coordinate grid below, the dashed figure is the image of a dilation applied to the larger solid figure. 2. Which list shows the numbers in order from least to greatest? Write a rule that represents the dilation , 8 2, 1 2 3, 5.93, , 8, 16.72, 5.93, C 14, 5.93, 1 2 3, 8 2, D 16.72, 1 2, 8, 5.93, How is 34,000 written in scientific notation? 7. Which point on the number line best represents 75? 4. How is x 10-4 written in standard form?

2 8. If a triangle is dilated with a scale factor of 2, how is the perimeter of the triangle changed? 11. The perimeter increases by 2 units. The perimeter becomes 4 times greater. C The perimeter increases by 4 units. D The perimeter becomes 2 times greater. 9. If a circle is dilated by a scale factor of 3, how is the area of the circle changed? The area becomes 9 times greater. The area becomes 3 times greater. C The area increases by 9 units. D The area increases by 3 units. 12.When the shape above is dilated by a scale factor of 5, what are the new coordinates of point E? 13.Point Q is at the location (3,4) on the polygon below. 10.Triangle C and triangle DEC are shown in the figure below. Find the length of. If the polygon is dilated by a scale factor of 1/3 from the center, what will be the new location of point Q? ( 3x, 3y) (x + 1/3, y + 1/3) C (x + 3, y + 3) D (1/3x, 1/3y)

3 14.Draw the image of the figure after the dilation of a scale factor of Kelly s fingernails grow at a constant rate. The graph of this progress is shown. Which statement is true? What is the perimeter of the original figure? What is the perimeter of the new figure? What is the area of the original figure? What is the area of the new figure? Describe the change in the perimeter after the dilation. Describe the change in the area after the dilation. The slope of the line is different from the unit rate of 1mm per week. The slope of the line is different from the unit rate of 3mm per 3 weeks. C The slope of the line is the same as the unit rate of 2mm per week. D The slope of the line is the same as the unit rate of 1mm per week 17.Jacob sells orange juice at his juice stand. The graph below shows how much Jacob makes selling orange juice. Jacob s OJ Stand 15. my buys 4 cans of soup at the store for a total of $5.00. Which equation represents the cost, y, in dollars, of buying x cans of soup, given that the cost is proportional to the number of cans of soup? y = 1.00x y = 1.25x C y = 5.00x D y = 0.80x Gallons Sold Which of the following shows the rate at which Jacob earns money selling his orange juice? $12 for every 2 gallons sold $1 for every 6 gallons sold C $6 for every gallon sold D $18 for every 3 gallons sold

4 18.Which relationship is an example of a proportional relationship? 20.Which table does NOT show a proportional function? rental company charges $80 per day and a one time fee of $24 Number of Tickets Cost ($) taxi ride cost $2 for the first 1 8 mile and $4 for each additional mile. C gym membership costs $30 per month and an additional registration fee of $75 D bby earns $150 a week for 10 weeks C D Number of Gallons Cost ($) Number of Hours Cost ($) Number of Pounds Cost ($) The relationship between which two quantities is an example of a nonproportional function? Total distance traveled and number of hours traveled, if ndrew drove his car at a constant rate of 60 miles per hour for 2 hours Total earnings and number of hours spent babysitting, if Sierra babysat for 4 hours at a rate of $8 per hour C Total fees charged and number of carpeted rooms cleaned, if a carpet cleaning company charges $40 for the first room and $25 for each additional room D Total savings and number of weeks spent saving, if Sergio saved $10 each week for 6 weeks 21. Write an equations from the table below. x y Dominic s towing company charges $35 to hook a vehicle to the tow truck and $1.98 for each mile the vehicle is towed. Write an equation to represent the relationship between the number of miles, m, and the total charges, c? What is the total charge if a vehicle is towed 13 miles?

5 23. Write the equation of the graph. 26. Which point is the solution to the system of equations below? 24. What is the slope of the line in decimal form? 27. Write the equation of each Line. 25.Squares are constructed on the three sides of a right triangle, as shown below. 28. Determine if each is a right triangle: a. 5, 12, 13 b. 10, 15, 12 c. 12, 15, 9 What is the side length of side Q? d. 26, 10, 24

6 29.Which table does NOT represent a linear relationship? x y The graph shows how the number of feet x relates to the corresponding number of yards y. Which table also represents the relationship? C x y x y D x y Nallely earns $164 for working 16 hours and $ for working 50 hours. The relationship between her income and the number of hours is a proportional linear relationship. Determine the rate of Nallely s earnings. $9.50/h $10.25/h C $15.00/h D $17.75/h 31.Peyton drove 240 miles on 8 gallons of Which statement is NOT true? Peyton drove 30 miles on 1 gallon of C D x y x y x y x y llison drives 90 miles in 2 hours. She drives 225 miles in 5 hours. She writes an equation in the form y = mx to represent the number of miles y and the number of hours x. If the graph of this line passes through the point (6, y), what is the value of y? Peyton drove 120 miles on 4 gallons of C Peyton drove 180 miles on 5 gallons of D Peyton drove 210 miles on 7 gallons of

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