WorkPlace Math 20
Chapter 1 Review
Name__________________
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1) Solve for x. Round answers to the nearest tenth. (1 mark each = 2 marks)
3 x
4.3 25
a) =
b)
=
x
5 50
8
2) Calculate the slope. Express your 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 your answers rounded to 1 decimal place.
(1 mark each = 2 marks)
a) A slide is a horizontal length of 3.5m and is 2.5m tall.
b) A staircase in a house has a height of 10.4 feet over a horizontal distance of 12.7 feet.
5
. The hill has a rise of 350m. What is the horizontal distance
170
covered by the hill? (2 marks)
4) The slope of a hill is
5) The slope of a road is 0.48. If the road covers a horizontal distance of 124m, what is the rise
of the road? Round your answer to the nearest one decimal place. (2 marks)
6) If the grade of a highway in the mountains is 8%, what is the vertical distance if the
horizontal distance is 750m? (2 marks)
7) Below is a diagram of a roof of a building. What is the pitch of the roof? Write your answer
as a ratio in lowest terms. (2 marks)
2.5m
10m
8) Find the slope of the hypotenuse as a fraction, and then find the angle of elevation Ѳ to the
nearest degree. (3 marks)
8
Ѳ
5
9) The safe ratio for a ladder is 4:1 {4 feet high for every 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 your answer to one decimal place. (2 marks)
10) A ski jump rises 5 feet over a run of 9 feet. (Draw a diagram to help you 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 Highway on Vancouver Island. There is a sign
indicating a 7% grade.
a) What is the slope of this highway as a fraction? (1 mark)
b) What is the angle of elevation of the highway? (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 25cm. 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 your answer to the nearest cm. (2 marks)
13) Calculate the slope of the following line. (2 marks)
y
10
5
5
0
10
x
14) Calculate the slope of the following two lines. (2 marks)
y
10
line2
line1
5
0
5
10
x
15) On the graph below draw a solid line that passes through the point (2,3) and a
4
has a slope of . (2 marks)
3
y
10
5
0
5
10
x
10
x
16) On the graph below draw a solid line that passes through the point (1,5) and a
2
has a slope of − . (2 marks)
3
y
10
5
0
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 (1,10) and (5,2). 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 your 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 correctly.
(3 marks)
50
45
40
35
30
25
20
15
10
5
0
1
2
3
4
5
6
e) If Johns works 10 hours, how much will he earn? (1 mark)
f) If John earns $165, how many 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 many shingles does Nick lay per minute? (2 marks)
21) A hill on Fir Street has an angle of elevation of 18.1°. A hill on Balsam Street has a 32.6%
grade. Which hill is steeper? (2 marks)
22) Justine and Jason are working as pastry chefs. Justine had made 5 cream puffs after 5
minutes and 20 after 55 minutes. Jason had made 10 cream puffs after 5 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)