Math 8 EOG Review Problems Name # If a question is marked, you need to solve the problem without using a calculator. If a problem is not marked, you may use a calculator to solve to the problem. If a question is marked, you need to show work to support your answer. If a problem is not marked, you do not need to show work. (1) Which expression is equivalent to (2 2 ) 4 3 5 3 0 2 3 3 2? 2 5 3 3 2 5 3 7 2 3 3 3 2 8 3 5 6 (2) One of the viruses that causes the common cold measures 2.5 x 10-6 m. What is this measurement written in standard form? -0.00000025 m -0.0000025 m 0.0000025 m 0.00000025 m (3) What value of x satisfies the equation 3x 8 = 1? 2 10 3-2 2 10 3 (4) What is the value of 0. 27 2? (5) 3 What is the sum of all the integers between 10 and 95? (6) What is the solution to the equation 0.8q + 9 = 8(0.6q 2)? (7) The size of the smallest known bacteria is 2 x 10-7 m. The size of the largest known bacteria is 7.5 x 10-4 m. bout how many times smaller are the smallest bacteria than the largest bacteria? 2.85 x 10 2 3.75 x 10 2 2.85 x 10 3 3.75 x 10 3 (8) The rectangle below has a diagonal that measures 16 cm. 113 cm 2 119 cm 2 144 cm 2 165 cm 2 What is the approximate area of the rectangle?
(9) Three times the difference of a number, x, and fourteen is six times the sum of the same number, x, and twelve. What is the value of x? (10) If the figure below is a square, what is the value of w? (11) In which table is y a function of x? (12) lice compared the graphs of two functions. * The first function was y = 3x + 4. * The second function fits the values in the table below. (13) Two computer repair companies charge different rates for their services. * We Fix It omputer Repair charges based on the equation = 90 + 30h, where is the total cost for working h hours. * John s omputer Repair charges are shown in the table below. (14) Which scenario EST describes the graph below? What is the distance between the y- intercepts of the two functions? s the weight of a package increased, the shipping cost increased proportionally. 1 2 3 4 Which company has a higher hourly rate, and by how much? We Fix It omputer Repair by $80 We Fix It omputer Repair by $15 John s omputer Repair by $80 John s omputer Repair by $15 race car driver accelerated quickly, stopped, accelerated again, and then stopped quickly. vacuum salesperson sold a constant number of vacuums and then experienced a steady increase in the number of vacuums sold. puppy gained weight quickly, still gained weight but not as quickly, and then stayed at a constant weight.
(15) What is the equation of the line shown on the graph below? (16) Justin is marking a border for a garden. He walks 200 feet to the east and then turns and walks 120 feet due south, before finally walking in a straight line back to his original starting point. To the nearest foot, how far does walk in all? (17) etermine the length of the diagonal of the rectangular solid. 65 y = 4x 1 y = 4x 4 y = 1 4 x 1 80 113 129 y = 1 4 x 4 (18) Which set of ordered pairs represents a linear relationship? {(0, 1), (2, 2), (-2, 0), (4, 3)} {(0, -2), (1, 1), (-1, 3), (2, 3)} {(0, -1), (1, 1), (-1, -2), (2, 3)} {(0, -2.5), (5, 2.5), (1, -2.5), (-1, -3.5)} (19) The amount of orange juice in a bottle is modeled by the equation y = 128 8x. If y is the number of ounces of juice left and x is the number of servings of juice poured from the bottle, how many ounces of juice are in a unopened bottle? (20) Jacob is twice as old as Sue. The sum of their ages is 69 years. How old (in years) is Jacob? (21) Which graph shows the line of the equation y = 3 x + 1? 4
(22) Ethan and Tia are paid hourly for their work at a restaurant. fter 30 hours worked, Ethan earned $255 before taxes. The graph below shows the amount Tia earns before taxes, after working x hours. (23) On a number line, let point P represent the smallest integer that is greater than 66. Let point Q represent the smallest integer value that is greater than 152. What is the distance between points P and Q on the number line? (24) restaurant listed its prices for a medium pizza based on the number of toppings in the table below. ased on the table, what is the cost for a medium pizza with one topping? What is the difference in Ethan and Tia s hourly pay? $0.50 $15.00 $1.00 $30.00 (25) Two angles have the same measure. One angle measures (2x 3) o and the other angle measures (x + 9) o. What is the measure, in degrees, of each angle? (26) n eye doctor charges an exam fee, plus a charge for the number of boxes of contact lenses purchased. * Lindsey had an exam and ordered 2 boxes of contact lenses. She paid $112.97. * Josh had an exam and ordered 6 boxes of contact lenses. He paid $272.93. (27) What is the approximate perimeter of triangle JKL below? 44 ft 38 ft 34 ft 32 ft How much is the exam fee?
(28) Which table of ordered pairs represents a line that has a slope that is the same as the slope of the line represented by the equation y = 2x + 1? (29) What is the approximate perimeter of the triangle shown below? (30) Marta surveyed educators about their ages and whether or not they held doctorate degrees. She created the table below to summarize their responses. What percent of educators that Marta surveyed have their doctorates? 11.6 units 11.8 units 17.6 units 18.0 units (31) The graph below displays Jamie s trip to the movies. (32) aleb is a plumber. * He charges a flat rate to come out to a customer s house plus an hourly rate, h, to fix the problem. * He charged $265 for a job that took 3 hours. * He charged $445 for a job that took 6 hours. (33) The distances of two trains from a station can be represented by the equations shown, with t being the time in hours since a dispatcher last checked on then and d being the distance in miles. Which scenario would best represent part 2 on the graph? How much will aleb charge for a job that takes 9 hours? How many hours after the dispatcher last checked on the trains will the two trains be the same distance from the station? Jamie is still at her home. Jamie is stopped at a stop light. Jamie is traveling at a constant rate on the highway. Jamie is traveling at a constant rate in a neighborhood.
(34) The points (-4, -2) and (-4, 2) are adjacent vertices of a rectangle. Two of the sides of the rectangle have a length of 9 units. What is the approximate length of a diagonal of a rectangle? (35) The volume of a cube is 8 cubic feet. What is the length (in feet) of each side? (36) The basketball team and the soccer team held a pie sale to earn money for camp. The table below shows the amount of money the basketball team earned based on the number of pies sold? 9 units 10 units 12 units (37) 13 units Leora created the table below to show how here family shared photos over the past year. (38) Mike and ory both run track at their school. The equation y = 9.5x represents Mike s running rate, where x is the number of miles run, and y is the time it took to run. The table below shows ory s running rates. The graph below displays the amount of money the soccer team earned based on the number of pies sold. Of the photographs shared, what percent were color photos that were shared online? Round to the nearest whole percent. Which statement is true? Mike runs 0.5 minutes per mile faster than ory. Mike runs 0.75 minutes per mile faster than ory. ory runs 0.5 minutes per mile faster than Mike. Which statement is true? The basketball team charged $2 more for a pie than the soccer team. The soccer team charged $2 more for a pie than the basketball team. The basketball team charged $4 more for a pie than the soccer team. (39) tree struck by lightning broke at a point 16 feet above ground level. The broken trunk formed a right angle with the ground, and the top of the tree was resting on the ground 18 feet from the base of the trunk, as shown in the diagram. What was the full height of the tree, to the nearest foot, before it was struck by lightning? ory runs 0.75 minutes per mile faster than Mike. The soccer team charged $4 more for a pie than the basketball team.