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Question 28 A James gave Julius the following problem to solve. Think of a number Now add 5 to it. Now add one more than twice the number The answer is 9 What was the number? Show your work. Answer ___________________
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Question 28 b The internal angles of a rhombus are shown. (5x-2) 0 (9x+14) 0 What is the value of x? Show your work. Answer ___________________
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Question 28 C Julius decided to make a problem for one of his friends to solve. Show your work. Answer ___________________
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Question 28 D test item The internal angles of a parallelogram are shown. (30-2x) 0 (7x+5) 0 What is the value of x? Show your work. Answer ___________________ Test Item
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Question 29 a The rectangle above is draw to scale. The scale is 1 centimeter = 2 meters What is the actual length and width of the rectangle? Answer Width _____________ meters Length _____________ meters You need a worksheet for this question
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Question 29 b. Nicki’s bedroom measures 9 feet wide and 10 feet long. She wants to make a scale drawing for her bedroom to fit on a plain sheet of letter paper. Part A What scale should she use? Answer Scale:_______________________________________ Part B Draw a diagram of Nicki’s bedroom (without furniture) to the scale you determined in the space below. Answer
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The small map shows the Indian Pacific railway line between Sydney and Perth in Australia. The longest stretch of straight railway in the world is on this line. It stretches across the Nullarbor Plain in Southern Australia between Watson and Nurina. The map below shows the Nullarbor Plain section enlarged. Question 29c On the map below, use the scale to determine the length of straight track between Watson and Nurina You need a worksheet for this question
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Test question 29 On the grid below, determine the distance between points A and B by following the solid dark line
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The table shows the distance traveled and time taken by a plane traveling from New York to Rome. Question 30 a Part A Complete the table by filling in the two missing numbers. Part B Based on the table, write a function rule that represents the relationship between Time Taken (t) and Distance Traveled (d). Rule ______________ _____________________________
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The function table below follows a function rule. Part A Complete the table by filling in the two missing numbers. Part B Based on the table, write a function rule that represents the relationship between x and y. Rule ___________________________________________
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Question 30 c Crystal and Toni were playing the game “What’s My Rule”. Crystal gave Toni some input numbers and the output after the rule had been applied. The results are listed below Part A Complete Crystal’s table by filling in the two missing numbers. Part B Based on the table, write a function rule that represents the relationship between Input (I) and Output (O). Rule _______________________________
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Question 30d Test Item The function table below follows a function rule. Part A Complete the table by filling in the two missing numbers. Part B Based on the table, write a function rule that represents the relationship between x and y. Rule ____________________________________ _
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Question 31 a The lengths of the sides of a triangle are shown in the diagram below. What is the length, in inches, of side s? Show your work Answer _________________ inche
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A man is painting a building by standing on a ladder. The ladder forms a triangle with the ground and the side of the building. If the base of the ladder is 5 feet from the wall and the distance up the wall to the top of the ladder is 12 feet, calculate the length of the ladder. Show your work Answer _________________ feet
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In the diagram of a model sailboat shown, the sail A is 4 feet above the deck. The edges of the triangular sail are 25 ft and 7 ft as shown. From this information, calculate the height of the mast of the sailboat Show your work Answer _________________ feet Question 31c.
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Question 31 d Test Question Andi was checking to see if the corner of the basketball court was a right angle. She marked two points A and C on the court and measured the distance between the points AB, AC and BC. She found that AB was 8 feet and BC was 6 feet. How long would AC have to be to make angle ABC a right angle? Show your work Answer _________________ feet
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Question 32 a On the X and Y axes below, draw the figure after it has been rotated through 180 degrees. You will need a worksheet for this question
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Question 32 b You will a worksheet for this question
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Question 32 c You will a worksheet for this question
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Question 32 d Test question You will a worksheet for this question
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Question 33a Karla had to find the length of each side of a rectangle shown below. She knew that the perimeter was 55 cms. Based on the given information, the perimeter of the rectangle can be stated as (3x – 2) + (2x + 7) Part A Solve the equation (3x – 2) + (2x + 7) = 55. Show your work Answer _______________ Part B Karla thought the rectangle looked like a square. Substitute your value for x in the expressions for the sides of the rectangles to see if she is correct. Show your work Answer _______________________________
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Question 33b The surface area of the rectangular prism shown above is 200 in 2.. The expression to find the surface are of the prism is 16(x+6) + 8(x+1) Part A Solve the equation 16(x+6) + 8(x+1) = 200 Show your work Answer ________________________ Part B Using your value of x, substitute in the expressions for length and width to calculate their values. Show your work Answer Length ______________inches Width _______________inches
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Question 33c Triangle ABC is an isosceles triangle and has a perimeter of 30 feet. Part A Write an expression for the perimeter of the triangle, and then solve the equation when the perimeter is 30 Show your work Answer ________________________ Part B Using your value of x, substitute in the expressions for the length of the sides and calculate their values. Show your work Answer AB _______ft AC _______ft BC _______ft
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Question 33d Test Question Figures A and B are regular polygons with sides of length as shown. The sum of the perimeters of the hexagon and pentagon is 65 inches. Write an equation that will show the sum of the perimeters is 65 inches. Answer.___________________________________________ Solve the equation and find the perimeter of the hexagon. Show your work Answer ___________________________ inches.
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Part B Based on the table, what is the value of y when x = 20? Answer ___________________ Question 34 a Part A According to the data in the function table, write a function rule that shows the relationship between X and Y. Rule __________________
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Question 34 b The cost of renting a computer from Crazy Computers is a once only $50 service charge plus $17 per week. Part A According to the data in the function table, write a function rule that shows the total cost of computer rental each week. Rule _______________________________________ Part B Based on the table, what is the total cost of computer rental after 20 weeks? Answer $___________________
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Part B Based on the table, what is the value of y when x = – 1 Answer ___________________ Question 34 c Part A According to the data in the function table, write a function rule that shows the relationship between x and y. Rule ___________________________
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Question 34 d Test question Skates can be hired at the skating rink for a non- returnable deposit of $5 and an hourly rate of $2.50. The table shows the relationship between time rented in hours and the cost of rental Part A According to the data in the function table, write a function rule that shows the total cost of skate rental for the number of hours rented. Rule ________________ Part B Based on the table, what is the total cost of skate rental after 5 hours? Answer $ __________________
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Question 35 a On the grid below draw the image of the triangle after a dilation of 3. Label the image A′B′C′. You will need a worksheet to do this problem
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Question 35b Use the projection method to dilate the figure below by ½ You will need a worksheet to do this problem
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Question 35b Draw an image of the shape after a dilation of 3. c You will need a worksheet for this item
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35c Draw an image of the shape after a dilation of 3. You will need a worksheet for this question
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Test question 35 On the grid below draw the image of the parallelogram after a dilation of 2. Label the image A′B′C′D′. You will need a worksheet for this question
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36a Tina wanted to buy some ribbon for a project she was doing. She needed three lengths of ribbon. One had to be 1.25 meters long, another had to be 95 centimeters long and another 2.6 meters. The shop sold ribbon by the centimeter. How many centimeters of ribbon did Tina need to buy? Show your work. Answer _________________________ centimeters
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Question 36b Joe carried the ball four times in his High School football game. The first carry was for 8 yards, the second was 11 yards, the third was 3 yards and the fourth was a 65 yard touchdown. How many feet did Joe carry the ball? Show your work. Answer _________________________ feet
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Question 36c Josh needed 2 gallons of juice for the school basketball game. He found that he had the following containers full of juice: 5 containers each with a capacity of 1 quart. 7 containers each with a capacity of 1 pint. Did Josh have enough juice for the basketball game? Show your work. Answer
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Test Question 36 Jodi was making some chocolate chip cookies for her birthday party. The recipe required 1 ½ pounds of chocolate chips. When she went to the store to buy them she found that chocolate chips were sold in packets which weighed 10 ounces. How many packets of chocolate chips would Jodi need to buy to finish the baking? Show your work. Answer _________________________ packets
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Question 37a In the figure below BA intersects CD at point E. What is the measure, in degrees, of angle CEB? Show your work Answer ____________________ degrees
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Question 37 B In the figure below ED intersects AB and AC at point A. What is the measure, in degrees, of angle DAC? Show your work Answer ____________________ degrees
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Question 37c In the figure below CD intersects EF and AB at point A. What is the measure, in degrees, of angle EAD? Show your work Answer _______ degrees
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Test question 37 In the figure below AB intersects CD at point E. What is the measure, in degrees, of angle AED? Show your work Answer ___________________ _ degrees
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