CoAlgA Mid Review. 1. Which of the following is the value of P for the problem below? P 72 = 2232 A B C. 72 D. 31

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1 olg Mid Review Name: ate: 1. Which of the following is the value of P for the problem below? P 7 = Jessie is participating in an egg drop contest. He drops his protected egg from a window that is 100 feet above the ground. How many seconds, to the nearest tenth, will it take for the protected egg to reach the ground? Use the formula d = 1 gt where: d is the distance traveled g is the acceleration due to gravity, which is 3 ft/sec t is the time in seconds. Look at the equation. n = seconds..5 seconds. 3.1 seconds. 6.3 seconds Which inverse operations will solve the equation?. add, then divide. add, then multiply. subtract, then divide 5. The graph below shows the increase in average gasoline prices from Jan. through May.. subtract, then multiply 3. Which of the following is the solution to the equation below? x + 3 = 13. x = 5. x = 8. x = 0. x = 3 If gasoline prices continue to increase at the same rate, what will be the average gasoline price in July of that same year?. $1.90. $1.95. $.00. $.05 page 1

2 6. ll 8 th grade students at Franklin Middle School are going on a field trip. Only 8 5 of the students returned permission slips, which are required in order to participate in the field trip. Of all 8 th grade students, 7 did not turn in their permission slips. pproximately how many total 8 th grade students are at Franklin Middle School? 9. If x 3 = 6, what is the value of x? What value of r makes r = 3 true? Which of the following represents a correct procedure for solving each given equation? (x 5) = 1 x 10 = 1 x = x = 1. 8(x 5) = 4 8x 40 = 4 8x = 16 x =. 5 x = 8x = 10x = 10x 3 = x. 7x 1 = x x 1 = 15 9x = 7 x = The total cost (c) in dollars of renting a sailboat for n days is given by the equation c = n. If the total cost was $360, for how many days was the sailboat rented? Look at the equation below. If x =, what is the value of y? y = 6x 3 1. The lengths of the sides of a triangle are y, y + 1, and 7 centimeters. If the perimeter is 56 centimeters, what is the value of y? page olg Mid Review

3 13. What does x equal in this equation? x = Solve and show your work. 10x 7 = Which steps could be used to solve this equation? 3 x + 9 = 15. Subtract 9 from both sides, then multiply both sides by the reciprocal of 3.. Subtract 9 from both sides, then divide both sides by the reciprocal of 3.. Multiply both sides by the reciprocal of 3, then subtract 9 from both sides.. ivide both sides by the reciprocal of 3, then subtract 9 from both sides. 18. caterer uses the following equation to determine the cost, c, of an event when p people attend. c = p The cost of a wedding was $ How many people attended? Show your work or explain how you found your answer. 15. If 7x + 3 = 17, what is the value of 7x 3? Solve for x. 10x + 5 = 3x 3 Show your work or explain how you found your answer. 16. What is the solution to the equation shown below? 5 6 x + 4 = 19 page 3 olg Mid Review

4 0. ooper performs the following steps while solving an equation. Step 1: 5 x 6x = 14 Step : 5 ( 5 x 6x ) = 5 ( 14) Which reason supports the work from step 1 to step?. distributive property. associative property. addition property of equality. multiplication property of equality. Kelly solved the equation below using the steps shown. Given: 3(x 4) 4 = 1 Step 1: 3x 1 4 = 1 Step : 3x 16 = 1 Step 3: Step 4: 3x = 15 x = 5 Which step contains Kelly s first mistake?. Step 1. Step. Step 3. Step 4 1. Which steps could be used to solve this equation? 3 x + 9 = 15. Subtract 9 from both sides, then multiply both sides by the reciprocal of 3.. Subtract 9 from both sides, then divide both sides by the reciprocal of 3.. Multiply both sides by the reciprocal of 3 then subtract 9 from both sides.. ivide both sides by the reciprocal of 3 then subtract 9 from both sides. 3. Which of the equations below represents the first step of the solution process? Step 1: Step : Step 3: Step 4: 5(6x + 4) + 1 = 39 30x + 1 = 39 30x = 60 x =. 5(6x + 1) + 4 = 39. 5(6x + 1) = x = x = 39 page 4 olg Mid Review

5 4. Kelly solved the equation below using the steps shown. 7. What is the apparent solution to the system of equations graphed below? Given: 3(x 4) 4 = 1 Step 1: 3x 1 4 = 1 Step : 3x 16 = 1 Step 3: 3x = 15 Step 4: x = 5 Which step contains Kelly s first mistake?. Step 1. Step. Step 3. Step 4. ( 6, 3). (0, 5). (3, 6). (5, 0) 5. What is the value of x in the following equation?.5 x = Two true number sentences are shown below. Each represents the same value. 6. Which would be an appropriate first step to solve y = 5x + 3 for x?. subtract 3 from both sides. add 3 to both sides + 6 = 18 + = 39 What is the value of? subtract 5 from both sides. add 5 to both sides page 5 olg Mid Review

6 9. Use the system of linear equations below to answer the following question. { x 5y = 6 x 7y = 14 Which ordered pair is the solution of the system of linear equations shown above?. ( 6 7, 3 5 ). (, 10). ( 14 3, 3 ). (7, 4) 31. The cost of materials needed to make a sail is represented by the equation below where is the cost and b is the length of the base of the sail. = b + 10 Which shows the equation solved for b?. b = + 1. b = 1. b = 10. b = harles spent a total of $15.50 for both entrance to the ice skating rink and a snack. The snack cost $5.50. In the equation below, t represents the cost, in dollars, to enter the skating rink. Which process could harles use to solve the equation for t in exactly one step? t = dd 5.50 to both sides of the equation.. Subtract 5.50 from both sides of the equation.. Subtract from both sides of the equation. 3. Solve the equation V = πr h 3 for h.. h = V 3πr. h = 3V πr. h = πr 3V. h = Vπr 3. ivide both sides of the equation by page 6 olg Mid Review

7 Problem-ttic format version c Educide Software Licensed for use by an lark Terms of Use at olg Mid Review 08/31/ x 7 = 5 10x = 35 x = x = 4