1) Solve for x. Round answers to the nearest tenth. (1 mark each = 2 marks)
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1 WorkPlace Math 20 Chapter 1 Review Name /60 1) Solve for x. Round answers to the nearest tenth. (1 mark each = 2 marks) 3 x a) = b) = 0 8 x 2) Calculate the slope. Express our answers as a fraction in lowest terms. (1 mark each = 2 marks) a) A wheelchair ramp has a rise of 6 feet and a run of 36 feet. b) A roof rises 8 feet over a horizontal distance of 18 feet. 3) Calculate the slope. Express our answers rounded to 1 decimal place. (1 mark each = 2 marks) a) A slide is a horizontal length of 3.m and is 2.m tall. b) A staircase in a house has a height of.4 feet over a horizontal distance of 12.7 feet. 4) The slope of a hill is. The hill has a rise of 30m. What is the horizontal distance 170 covered b the hill? (2 marks) ) The slope of a road is If the road covers a horizontal distance of 124m, what is the rise of the road? Round our answer to the nearest one decimal place. (2 marks)
2 6) If the grade of a highwa in the mountains is 8%, what is the vertical distance if the horizontal distance is 70m? (2 marks) 7) Below is a diagram of a roof of a building. What is the pitch of the roof? Write our answer as a ratio in lowest terms. (2 marks) 2.m m 8) Find the slope of the hpotenuse as a fraction, and then find the angle of elevation Ѳ to the nearest degree. (3 marks) 8 Ѳ 9) The safe ratio for a ladder is 4:1 {4 feet high for ever 1 foot from the base of the wall}. How far from the base of the wall would the ladder be if it reaches up to the roof, which is 26 feet in height? Round our answer to one decimal place. (2 marks)
3 ) A ski jump rises feet over a run of 9 feet. (Draw a diagram to help ou answer this.) a) What is the length of the surface of the jump rounded to one decimal place? (3 marks) b) What is the angle of elevation of the jump to the nearest degree? (2 marks) 11) Owen if riding his bike on the Malahat Highwa on Vancouver Island. There is a sign indicating a 7% grade. a) What is the slope of this highwa as a fraction? (1 mark) b) What is the angle of elevation of the highwa? (2 marks) 12) The building code in Saskatchewan states that each stair in a staircase in a residential home is allowed a maximum rise of 20cm and a minimum run of 2cm. A contractor needs to build a set of stairs from the basement to the first floor. Calculate the minimum horizontal distance required if the height from the basement to the first floor is 3m. (Watch units!!) Round our answer to the nearest cm. (2 marks)
4 13) Calculate the slope of the following line. (2 marks) 0 x 14) Calculate the slope of the following two lines. (2 marks) line2 line1 0 x 1) On the graph below draw a solid line that passes through the point (2,3) and a has a slope of 3 4. (2 marks) 0 x 16) On the graph below draw a solid line that passes through the point (1,) and a 2 has a slope of. (2 marks) 3 0 x
5 17) A line on a graph passes through the points (0,6) and (11,7). Calculate the slope of the line. (2 marks) 18) A line on a graph passes through the points (1,) and (,2). Calculate the slope of the line. (2 marks) 19) Johns works at MacDonalds earning a wage of $11.00 per hour. a) Write an equation that models this problem. Be sure that state what our variables represent. (Use Let statements) (2 marks) b) What is the independent variable? (1 mark) c) What is the dependent variable? (1 mark) d) Create a table of values and draw a graph of this problem. Label the graph correctl. (3 marks)
6 e) If Johns works hours, how much will he earn? (1 mark) f) If John earns $16, how man hours did he work? (1 mark) 20) Nick laid 8 shingles after 11 minutes and then 31 shingles after 66 minutes. a) Which would be the independent variable and which would be the dependent variable? (2 marks) b) About how man shingles does Nick la per minute? (2 marks) 21) A hill on Fir Street has an angle of elevation of A hill on Balsam Street has a 32.6% grade. Which hill is steeper? (2 marks) 22) Justine and Jason are working as pastr chefs. Justine had made cream puffs after minutes and 20 after minutes. Jason had made cream puffs after minutes and 20 after 60 minutes. At what rates are Justine and Jason making cream puffs? (In other words, what is the rate of change for each chef?) (4 marks)
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