# Express As a Single Power 1

Name:Date:

MPM 1D

Unit 4: Review

1.Write the equation for each line defined below:

a) perpendicular to the line , passing through the point .

b) perpendicular to the line , passing through the point .

2.Given the equation , state the slope and the obvious point on the graph.

3.Given the equation , state the slope and the obvious point on the graph

4.Which of the following equations are non-linear?

a) b) c) d) e)

5.Given the line below, write the equation of the line in
a) slope-intercept form b) point-slope formc) standard form. 6.State the x- and y-intercepts for each line below.

a) b)

c) d)

7.Solve for x.

a)

b)

8.Use the grids provided below to solve the following linear systems.

a)   b)    9.Write the equation of the line thathas an x-intercept -9 and y-intercept -6.

10.Write the equation of the line that has an x-intercept 7 and y-intercept -10.

11.Write the following equations in standard form: a) b)

12.Find the equation of the line perpendicular to the line and same x-intercept as.

13.Find the equation of the line parallel to the line and same y-intercept as.

14.Calculate the surface area and volume for a square-based pyramid with a slant
height of 12 m and base length 6 m.

15.Calculate the surface area and volume for a square-based pyramid with a height of
8 cm and base length 15 cm.

16.Consider the line , state a) the slope of the line. b) the equation of the
perpendicular line passing through .

17.Consider the line , state a) the slope of the line b) the equation of the perpendicular line passing through .

18.Determine the equation of the line passing through the points and .

19.Determine the equation of the line parallel to passing through . Write your final answer in standard form.

20.Determine the equation of the line perpendicular to passing through . Write your final answer in standard form.

21.Find the value of each unknown.

a) b) c)

22.Determine the measure of eachinterior and exterior angle of a regular 19-a-gon.

23.Determine the number of sides of a polygon whose interior angles total 3780°

24.The sum of the interior angles of a polygon is 2160°. Find the number of sides of thepolygon.

25.Determine the number of sides of a regular polygon based on the following criteria:
a) with interior angles of 157.5 °b) with exterior angles of 12°.

26.Amanda works in a store that sells sports equipment. Hockey gloves sell for \$65 a pair and helmets cost \$95 each. One shift she sells 219 items. Her receipts total \$ 18,195. How many gloves did Amanda sell?

27.A small store sells used CDs and DVDs. The CDs sell for \$5 each and the DVDs sell for \$7 each. James sold 38 items and collected \$ 236. The store owner wants to know how many CDs and how many DVDs were sold.

28.The amount Jenny earned babysitting on New Year's Eve \$5 less than three-quarters of the amount than Lilly earned. The difference in their earnings is \$14. Find the amount each person earned.

29.Calculate the surface area and volume for the cone with a diameter of 14 cm and a slant height of 21 cm.

30.Calculate the surface area and volume of a cone with a radius of 40 m and a height of 18 cm and no bottom.

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Solutions: 1a) b) 2. , 3., 4.a and d 5a) b) or c) 6a) x-int: 16, y-int: 12 b) x-int: 18, y-int: -4c) x-int: , y-int: -13
d) x-int: -13, y-int: 7a) b) 8a) b) 9. 10.
11a) b) 12. 13. 14. , 15. , 16a) undefined b) 17a) zero b) 18. or or 19. 20. 21a) b) , , c) 22. interior angles ; exterior angles 23. 23 sides 24. 14 sides 25a) 16 sides b) 30 sides 26. 87 gloves 27. 15 CDs and 23 DVDs 28. Lilly earned \$36 and Jenny earned \$22

29. , 30. ,