Name; Class: Date; ID: A

J u n e E x a m R e v i e w T r i g

Multiple Choice

Identify the choke that best completes the statement or answers the question.

_ 1. Determine tan Q and tan R. P 4 Q

R

a. tan Q = 0.3; tan R = 0.5 c. tan 0 = 2; tan R =0.6

b. tan Q = 2; tan R = 0.5 d. tan Q - 0.5; tan R = 2

2. Determine the angle of inclination of the Line to the nearest tenth of a degree.

< 9.8 >

a. 65.3° b. 22.7° c. 67.3° d. 24.7°

3. This cabin's roof is built within 1° of the recommended angle for solar panels. Determine the approximate

latitude of the cabin, to the nearest degree. solar panel

• •

a. 49° b. 29° c. 41° d. 61°

4. The height o f the Telus Plaza South in Edmonton is about 134 m. Stacy is lying on the ground near the

building. The angle between the ground and her line of sight to the top of the building is 71°. About how far is Stacy from the base o f the building, to the nearest metre?

a. 142 m b. 389 m c. 127 m d. 46 m

1

Name; I D : A

5. A helicopter is hovering 350 m above a road. A car stopped on the side o f the road is 450 m from the helicopter. What is the angle o f elevation of the helicopter measured from the car, to the nearest degree?

a. 52° b. 39° c. 51° d. 38°

6. Calculate the length of this rectangle to the nearest tenth of a metre.

A B

7.3

r D C

a. 8.1m . b. 3.2 m c. 6.6 m d, 3.6 m

7. A tree broke 10 ft. above the ground. The top of the tree now touches the level pound and the trunk is still

partially attached to the stump. I'he angle of inclination o f the tree is 39°. To the nearest foot, determine the

height o f the tree before it broke.

a. 26 ft. b. 23 ft. c. 22 ft. d. 16ft .

8. A balloon is flying at the end of a 200-m length of string, which is anchored to the ground. The angle of

inclination of the string is 55°. Calculate the height of the balloon to the nearest metre.

a. 164 m b. 140 m c. 115 m d. 244 m

9. A water taxi leaves its dock, and travels 6 km due north to pick up medical supplies. I t then travels 14 km due east to drop o f f the supplies at a hospital. To the nearest degree, what is the measure o f the angle between the path i t took due east and the path it w i l l take to return directly to its dock?

a. 23° b. 65° c. 25° d. 67°

10. The front o f a tent has the shape of an isosceles triangle with equal sides 170 cm long. The measure o f the

angle at the peak o f the tent is 109°. Calculate the maximum headroom in the tent to the nearest centimetre.

a. 138 cm b. 121 cm c. 99 cm d. 240 cm

2

Name: 111: A

.. Determine the length of QR to the nearest metre. Q

, /44 '

10 m

a. 79 m b. 159 m c. 118 m

12. Calculate the measure o f Z G H J to the nearest tenth of a degree.

H

3 cm

d. 110 m

c. 55.3C d. 65.6°

Short Answer

13. f a n B ~ 1.3; determine the measure of Z B to the nearest tenth of a degree.

14. The base of a ladder is 0.8 m from a wall of a house. The top of the ladder rests against the house

2.5 m above the ground. Determine the angle the ladder makes with the house, to the nearest degree.

15. A communications tower is 300 m high. Rebecca is driving toward the tower. The angle between the ground

and Rebecca's line of sight to the top o f the tower is 9°. About how far is Rebecca from a point on the ground

vertically below the top o f the tower, to the nearest hundred metres?

16. A rectangle has length 14.0 cm. The angle between one shorter side o f the rectangle and a diagonal is 68°

Calculate the width of the rectangle, to the nearest tenth of a centimetre.

17. A ladder is 7 m long. I t leans against a house. The base of the ladder is 1.8 m from the house. What is the

angle o f inclination of the ladder to the nearest tenth o f a degree?

18. A road rises 1 m for every 9.3 m measured along the road. What is the angle of inclination o f the road to the

nearest tenth o f a degree?

19. A 2.8-m cable is attached to a sign. The cable is anchored to the ground 1,9 m from the base o f the sign.

What is the angle o f inclination of the cable to the nearest tenth of a degree?

20. A diagonal in a rectangle has length 15 in. The angle between a diagonal and the longer side of the rectangle

is 22° . Calculate the width of the rectangle to the nearest inch.

21 . The angle of mclination o f a road is 9°. Determine the rise o f the road, to the nearest metre, for every 100 m

travelled along the road.

3

Name: ID: A

22. Solve this right triangle. Give the measures to the nearest tenth.

L M

23. Determine the length of W X to the nearest tenth o f a centimetre, w

Y

24, Francis wants to know the distance between the points where two guy wires are attached to a pole. The guy

wires are anchored to the ground at the same point. 9.0 m from the base o f the pole. The angle o f inclination

o f the longer wire is 58° and the angle o f inclination of the shorter wire is 41°, To the nearest tenth of a

metre, how far apart are die points where the guy wires are attached to the pole?

25. From the roof o f Yee's building, the angle of elevation o f the top o f a taller building is 35°. The angle of depression of the base o f the building is 22°. The buildings are 21 m apart. Determine the height o f the taller building to the nearest metre.

Problem

A rectangle measures 7.1 cm by 5.6 cm. Determine the measure, to the nearest degree, o f the acute angles

formed by the intersection of the diagonals. *

Calculate the area, to the nearest tenth of a square centimetre, o f the circle inscribed in the equilateral triangle

below.

v 10.6cm C

4

Name: I D : A

28. A boat was docked 25.0 m from the base of a cl i f f . A sailor used a clinometer to sight the top o f the c l i f f . The

angle between the horizontal and the line o f siglit was 80°. The sailor held the clinometer 1.3 m above the

surface of the water. Determine the height o f the c l i f f to the nearest tenth, o f a metre.

29. Solve AI ,MN. Give the measures to the nearest tenth. Explain your strategy.

M r - , - ~ ^ I

4.7 cm

6.1 cm

30. This regular octagon has side length 17.0 cm. Determine the distance from one vertex to the opposite vertex, measured through the centre of the octagon. Give your answer to the nearest tenth of a centimetre.

17.0

31. Determine the length of the diagonals in this kite to the nearest tenth of a centimetre.

B

44.9°

22.0 cm 63,9*

26. r

5

Name: Class: Date: ID: A

June Review Ch3 Factors and Products

Mul t ip le Choice Identify the choice that best completes the statement or answers the question.

1. Determine the greatest common factor of 84, 210, and 336,

a. 14 b. 1680 c. 21 d. 42

2. Determine the least common multiple of 18, 30, and 66.

a. 990 b. 495 c. 5940 d. 6

3. One neighbour cuts his lawn every 4 days. Another 'neighbour cuts her lawn every 6 days. Suppose both neighbours cut their lawns today, f l o w many days w i l l pass before both neighbours cut their lawns on the same day again? a. 24 days b. 18 days c. 2 days d. 12 days

4. What is the side length of the largest square that could be used to tile a rectangle that measures 9-ft. by 30 ft.? Assume the squares cannot be cut. a. 9 ft. b. 3 f t . c. 90 ft . d. 6 ft.

5. A cube has volume 10 648 cm 3 . What is the surface area o f the cube?

a. 74 761 cm 2 b. 2904 cm 2 c. 22 cm 2 d. 7098.7 cm 2

6. Determine the perfect cube whole number closest to 12 257. a. 12 321 b. 12 167 c. 12 249 d. 10 648

7. Which o f the fol lowing numbers is not both a perfect square and a perfect cube? a. 262 144 b. 9216 c. 46 656 d. 64

8. Factor the binomial 12r; - 21a".

a. a{\2 + 21a) c. 3«(4 + 9«)

b. 3(4a + 9a2) d. 6a(2 + 9a)

9. Factor the trinomial 5 6 t 5 / - 3 2 x 4 / - 72x3y''. .

a. 8 x \ ' ( - 7 . r > --4 • 9 y : ) c. - 4 x 3 y 5 ( 1 4 x 2 y + 8x + 1 8 / )

b. & c V ( 7 x 2 v -4x + 9y2) d. -&c3(7x2y6 + 4xy5 + 9y7)

10. Factor the binomial -6m2 - 24m 4 .

a. -6rn\l+4m2) c. 6(m2 +Am4)

b. -6m2(4m2) d. -3m?(2 i- 8m 2)

11. Simplify the expression y2 + \2y - 10 - 1 3 / - 36y - 38, then factor.

a. -12<v2 - 2 v - 4 ) c. - 6 ( 2 / + 4y + 8)

b. - 1 2 ( y 2 + 2 y + 4) . d. - 6 ( 2 / +4y+1)

1

Name: I B : A

12. Which of the following trinomials can be represented by a rectangle?

a. y1 t- 4y + 12

b. y'~r9y + 6

13. Complete .^ • - • • ) ( £ - 5 ) - • * +105

a. (k-2l)(k~-~l6) = k2 ~5k + m5

b. (k-2\)(k-5)~k2 261:+105

14. Factor: 72w2-2\6w- 126

a. 6(6w i 3)(2w 7)

b. 6(6w + 7 ) (2w-3 )

15. Expand and simplify; (f + 7g)(2f — 4g + 7)

a. 2 / + 1 0 / g + 7 f + 2 8 g 2 + 4 %

b. 2 / 2 - -18/g + 7 / 2 8 g - f 49,e

c. v" + 13y + 42

d. y 2 + 18y + 2

c, (k - 2l)(k -26) = k2-5k +105

d. - 21)<^ ^ 5) = i : 2 - 16^ + 105

c, 6(6w - 7)(2w + 3)

d. 6(6w 3)(2w \ 7)

c. 2 f 2 + 10fg + 7 / - 2 8 g 2 + 4 9 g

d. 2f - mfg + If 2Sg2 + 49g

16. Which polynomial, written in simplijfied form, represents the area o f this rectangle? 8x - Ay

x + 3y

a. 8x 2-20x>>-12>> 2 c. l ( k 2 + 4 0 x y - 2 4 y 2

b. 8x 2 f \4xy - 12y2 d. 8 r t 20xy - I2y2

2 , c.. /r\te. 2 17. Expand and simplify: ( IT ' - 5.r - 6)(5.x - 2x + 3)

a. 1 Ox4 + 21x 3 - 3 4 r + 27x - 18 c. lOx 4 + 2 L r - 2 4 / + 27x + 18

b. 1 Ox4 - 21x 3 - 34x 2 - 3x + 18 d. 10x4 - 29x 3 - 34x 2 + 27x - 18

18. Find an integer to replace f! so that this trinomial is a perfect square.

8 1 v 2 - D v w + 1 0 ( h v 2

a. 180 c. 90

b. 900 d. 20

19. Factor: 49c 2 56c I 16

a. (7c ~ 4 ) 2 c. (14c - 8 ) 2

b. ( 7 c - 4 ) ( 7 c + 4 ) d. (14c-8)(14c + 8)

2

Name: ED: A

20. I^termine the area of the shaded region in factored form.

2 X + 9

a. 4(x +10)

b. (3x + 8)(*+l0)

c. (3*+10)(x + 8)

d. (3*-8) (*-10)

Short Answer

21. Bill and Betty do chores at home. Bill mows the lawn every 9 days, and Betty bathes the dog every 6 days. Suppose Bill and Betty do their chores today. How many days will pass before they both do their chores on the same day again?

22. Determine the square root of 270 400.

23. Write an expression for the width of this rectangle.

24. Simplify 25a3b2 - %a2b3 + 19b' - 13a3 b2 + 24a2b3~27b\ then factor.

25. Identify the greatest common factor of the terms in this set.

%x2y,24y2A%xy

26. Expand and simplify: (11 + q)(5-q)

27. Factor: s 2 - 3 4 s + 33

28. Find and correct the errors in this factorization.

w2 -5w-5Q= (w-5)(w + X0)

6a

Area = 6a 2 + A2ab

3

Name: I D ; A

29. Find an integer to replace • so that this trinomial can be factored.

y 2 t y \ •

30. Factor: I0z 2 -35z ! 25

31. Copy and complete this statement.

(24o - 6)(a - 135) = • - • + 810

32. Expand and simplify: (9z 2 - 4z + 4)(Sz + 6)

33. Find and correct the errors in this solution.

= 9a 2 - 65ah + 40a - 4ab ~~ 13d 2 + U

= 9a - 69ab - 13b2 - 40a + 2b

34. Factor: 9.v2 - 4 r

35. Factor fu l ly : 3 5 p V - 170pqr-25q2r

36. Find an integer to replace • so that the trinomial is a perfect square.

25x2 ~60xy+Dy2

Problem

37. Chris completes one lap of a go-cart track every 50 s. D 'Arcy completes one lap of the same track every 60 s. Suppose Chris and D'Arcy cross the starting line at the same time. How many seconds w i l l pass before they cross the starting line at the same time again? How many laps w i l l Chris have completed in that time? How many laps w i l l D'Arcy have completed in that time?

38. a) Here are a student's solutions for factoring polynomials. Identify the errors in each solution. Write a correct solution.

i) Factor: -22h - 32h2 + Wt3

Solution: -22h - 32h2 + 16A3 = -2h(l 1 +16// + $h2)

b) What should the student have done to check her work?

4

Name: ID: A

3 9. Find the area o f the rectangle.

6 6 - 7

4 l ? - 3

40. A picture and its frame have dimensions as shown.

a) Find an expression for the area of the frame, in factored form.

b) Determine the area of the frame when 5 = 1 2 cm.

5

Name: Class: Date: I D : A

June Exam Review C h 4 Roofs and Powers

Mult ip le Choke Identify the choice that best completes the statement or answers the question.

1. Identi fy the index o f

a. 2 7 b. 3

2. Identify the radicand of \l 4 .

a. 4 b. 4*

c. 7

c. 6

c. -12.8

c.

3. Evaluate

a. 4 b. impossible

4. Which of these roots lies between 3 and 4?

K / 2 8 ? il-\72, *fl7 , Kl-U%

a. Zf-m h. J~VJ

5. Evaluate V 10.4976. a. 0.1 b. 1.3 c. 1.8

6. Estimate the value o f *f4Q to one decimal place.

a. -0.3 b. 3.4 c. 0.9

7. Which of these numbers is irrational?

v 16

a. -68

8. Write \ / 8 0 in simplest form.

a. lOifl b. 2k[lQ

9. Write 16^/3 as an entire radical.

a. kfl6& b. ^ 1 2 2 8 8

10. Write

' 2 '

v 4 ,

\9

as a power.

c, 34216

c. 8^ / l0

c. V2304

_1

C. , 3

d. 2

d. 8

d. 4

d. V -172

d. 2.1

d. 5.7

49

d. 4lfs

d. V432

d. ' 3 V 9

11. A cube has volume 1200 cubic inches. Write the edge length of the cube as a power.

V1200 i m. b. 1200 in.

12. Evaluate (-216)~^ without using a calculator.

36

c. 12003 in.

J_

36

d. 1200"3 in

d- i

1

Name: ID: A

13, Evaluate 81 without using a calculator.

4 . 1 a. 243

b. 27

c. 27

4. Which power with a negative exponent is equivalent to -p^ '

a. b. -5 -3

15. Given that 6 : 0 =60466 176, what is 6~10?

a. - 6 - 4 16. How many times as great as 7 2 is 7 6?

a. 7 1 b. r%

c. 3 -5

C. 1

60466176

7 4

d. (-5)

1

60466176

d. 7*

.7. Simplify 3 6 x V

4x*y 1

.-> 2 2 a. 3.v y b. c. ..2 6

18. Evaluate

" 5

19. Evaluate

a ' 9

( r 4 f 81 T

V ) \ )

b.

( 1 10 \ 2 , 3

<3 0

a I f

25

for a = 4 and A = -27.

b. 72

25

64 A 6 4

d -25

c. -72

Short Answer

20. Evaluate ^ - 1 7 2 8 .

21. Evaluate 1 3125

1024

22. Which of these numbers are rational numbers, but not integers?

3.12,-4, ^ 5 , ^ , 2.4, $JH, 0, 5~, i f \ 6

23. Determine the side length o f a square with area 72 cnf

Write your answer to the nearest tenth of a centimetre.

2

Name: I I ) : A

24. Determine the edge length of a cube wi th volume 55 cm 3 .

Write your answer to the nearest tenth o f a centimetre.

25. Write 8 v 19 as an entire radical.

26. A cube has a volume of 1280 cubic feet. Determine the edge length of the cube as a radical in simplest form.

2

27. Evaluate 0.6561 *.

5

28. Write K4J

as a radical.

29. Evaluate (-64) 3 .

30. Arrange these numbers in order from least to greatest.

31 . Evaluate without using a calculator.

32. Evaluate 81 without using a calculator.

—3a 3 b~7 c~~ 33. Simplify ( t _3 \ 3 . Write using powers with positive exponents.

34. Simplify -> - 3 - 7 - 2 — m n p 4

35. Evaluate (0.4) 2 . (0.4) 3 • (0.4) «

Problem

36. A square has an area of 1134 m 2 . Determine the perimeter o f the square. Write the answer as a radical in

simplest form.

37. In isosceles A A B C what is the lengtli o f BC? Write your answer as a mixed radical. A '

3

Name: I D : A

38. Harish simplified Kl 1024 as shown;

= 2 -5-kfl

= iO-kfl Identify the error Harish made, then write a correct solution.

2 1 5 ?

39. Another formula for the approxunate surface area, SA square metres, o f a person's body is SA ~ 0.025/i m , where h is the person's height in centimetres, and m is the person's mass in kilograms. a) Calculate the surface area of a newborn with height 48 cm and mass 7,3 kg. Write the answer as a

decimal to the nearest hundredth of a square centimetre.

40. Here is Tanisha's solution for evaluating a power:

= (1.1180...)' -2.1837.. .

Identify the errors Tanisha made. Write a correct solution.

41. For a spherical space station, this formula is used to estimate the number of rotations per minute, N, required so that the force inside the station simulates the gravity' on Earth:

_ r 42's/s ~'~2 . , „ . . A = ——— • r , where r is the radius of the space station, m metres

Suppose the radius o f the space station is 12.7 m. Calculate the number of rotations per minute required to simulate the gravity on Earth. Write the answer to the nearest hundredth.

42. A cone with equal height and radius has volume 492 cm 3 . What is the height o f the cone to the nearest tenth

o f a centimetre?

4

Name: Class: Date: I D : A

C h 5 June Exam Review C h 5 Relations and Functions

Multiple Choice Identify the choice that best completes the statement or answers the question.

1. Identity the domain of this relation.

{ ( 8 , ' l 0 ) , ( 5 , 7 ) , ( 9 , - l l ) . ( 6 . - 8 ) }

a. { 8 , 7 , 9 , 1 0 } c. {5,6,8,9}

b. {-11,-8,7/10} d. {5,6,9,10}

2. For the function f ( x ) = 3..v •- 8, determine x when f(x) = -10.

a. 38 b. -22 c. 6

3. For the function g(x) - 2x - 9, determine g(3.4).

a. -2.2 b. 2.2 c. -3.6

4. Write g(x) - -7x - 2.75 as an equation in two variables.

a. x--lx-2J5

b. g = -lx-2.15

5. Which of these graphs represents a function?

0 ii) '¥

c. g~-lg-2J5

d. x = -lg~2.15

d. 6

6.2

1 \y

I I I i > T

- •

1 i ?

X

... A

\

iii) iv)

a. ii b. i c. I l l d. iv

1

Name: ID: A

6. Determine the domain and range of the graph of this function.

a. 2 < x < 4; y < 3

b. x < 4; y < 3

7. Determine the range of the graph.

c. x < 3; y < 4

d. x<4: - ) r£y<3

a. -3<y<5 c. 3 < .r < 3

b. 4 < > ? < 5 d. - 1 <y < 3

8. For a service call, an electrician charges a $70 flat fee, plus $50 for every 30 min worked. Determine the rate o f change o f this linear relation.

a. S50/h

b. $120/h

c, $70/h d. SlOO/h

Name: ED: A

9, Each graph below shows distance, d metres, as a fimction o f time, t hours. Which graph has a rate of change

o f 0.25 m/h and a horizontal intercept o f 3 m?

3

Name: I D : A

10. This graph shows the fuel consumption o f a jeep with a fu l l tank o f gas at the beginning of a journey. When the jeep has travelled 350 km, about how much fuel is left in the tank?

Distance (100s of km)

a. about 32 L c. about 49 L

b. about 36 I , d. about 28 I .

Short Answer

11. Consider the relation represented by this arrow diagram. Represent the relation as a set of ordered pairs, contains this number

of passengers

Name: ID: A

12. This graph shows the speed o f a hot air balloon, ±\ as a fimction o f time, t,

s Speed of a Hot Air Balloon

10 f 2 4 8 8

Time (s)

Identify the independent and dependent variables.

13. Which equations represent linear relations? Create tables o f values i f necessary.

a) 4 x - v = 11

b) x2 \y2 - 12

c) x = 5~2y

d) y = x x + Ix -:

e) y = x

3 +11

f) j , _ 4 = 0

14. This table represents the approximate relation between a distance in miles and the same distance in kilometres. Determine the rate o f change of the relation..

Miles (mi.) 8 16 24 32 40

Kilometres (km) 12.8 25.6 38.4 51.2 64.0

15. Determine the rate of change and the vertical intercept of this graph.

'y

5

Name: I D ; A

Problem

16. A gas station attracts customers by offering coupons worth $0.02 for every $1.00 spent on gasoline.

Value o f Gas Value of

Purchase, v Coupons,

($) c ($)

1

2

0 ,

20

0.80

50

a) Use fimction notation to express c as a function of v. b) Copy and complete the table. c) What is the value of the coupons a customer w i l l receive i f she spends $60 on gasoline? d) How much does a customer have to spend on gasoline to receive $5.00 in coupons?

17. a) This is the graph of the function g{x) = 1 2v.

Determine the range value when the domain value is 1.

18. A skydiver jumps from an altitude of 3600 m. For the first 12 s, her height in metres above the ground is

described by this set o f ordered pairs: j(0, 3600), (4,3514 j , (8, 3346),(12, 3151)}. Between 18 s and 36 s,

her height above the ground is described by this set of ordered pairs:

{(18,2821) , (24,2491) , (30,2161) , (36,1831)} .

Determine whetlier either set of ordered pairs represents a linear relation. Explain.

6

Name: Class: Date: ID: A

June Exam Review Ch6 Linear Functions

Mult ip le Choice Identify the choice that best completes the statement or answers the question.

1. A straight section of an Olympic downhill ski course is 34 m long. It drops 16 m in height. Determine the

slope of this part of the course.

15 _8_

8 °- 17

15

a. —

b. d. -

2. Which o f these line segments are parallel?

a. CD and EF b. EF and G H

c. A B and CD d. A B and EF

3. Determine the slope of the line that is perpendicular to this line segment.

!—4 t-- p

-pe-—

\ -I c /

,„,..-> _ i _ !

/ -

t -

4 x

5 a - 3

3 C " 5

, 3 d. - -

1

Name; .11): A

4. A line passes through D( 5, 1) and N(12, 8). Determine the coordinates of two points on a line parallel to DN. a. (2, -10) and (24, -16) - c. (-10,2) and (24,-16)

b. (-10, 24) and (2, -16) d. (-10, 2) and (-16, 24)

5, The slope of this line is What is the equation of the line?

1>

a. y = - x +1

b. y = x - 1.

6. For a service call, a plumber charges a $95 initial fee, plus $30 for each hour he works. Write an equation to represent the total cost, C dollars, for / hours of work. a. / = 30€ + 95 c. C = 30r + 95

b. C = 95l + 30 d. C - 3 Or - 95

c. y-

d. ' y

x+l

1

i

2

Name: ID: A

1. Which graph has slope 3 and /-intercept. 0?

a. c.

_ 8, Jon has x egg cartons that hold 12 eggs and y egg cartons that hold 18 eggs. He uses these cartons to store 72 eggs. Which equation represents the relation?

a. • 12* + 18j>-72 = 0 c. 12*-~ 18y - 72 - 0

b. 12x-18y + 7 2 ~ 0 d. 12* + 18y + 72 = 0 *

Short Answer

9. A treadmill is set wi th a rise o f 9 in. and a run o f 90 in. What is the slope of the treadmill?

10. A 10-if. ladder leans against a wall . The base of the ladder is on level ground 4 ft. from the wail . What is the slope of the ladder?

11. Describe the graph o f the linear function whose equation is y = lLr ,

3

Name: I B : A

12. For each equation, identify 'the slope and y-intercept of its graph.

i) y = 4x - 8

4 ii) y = -T x + 8

. 4 m) y = -4x + ~

7 13. Write this equation in general form: v - ~ x - 6

3 14. Write "this equation in general form: y - 3 = ™ (x + 4)

i 5. Determine the slope of the line o f this equation: 3x 4- 5y - 7 - 0

16. Desmond works as a babysitter for two families. Family A pays $6.5 per hour. Family B pays $8 per hour. Last weekend, Desmond earned $75. Write an equation in general form for the relation.

17. Determine the slope of the line with this equation: 32x 8y - 5 - 0

18. Write this equation in general form: y - 2 - - | (x - 5)

19. Write an equation for the graph of a linear fimction that has slope -5 and y-intercept 6,

20. Determine the .^-intercept and the y-intercept for the graph of this equation: llx - 3y + 24 = 0

21. Write an equation for the graph o f a linear function that has slope ~ ~ and y-intercept - 3 .

22. A line has x-jntercept 6 and y-intercept-I . Determine the slope of a line perpendicular to this line.

23. Determine the slope of a line that is parallel to the line through L(-10, 5) and K(6, -13) .

24. Predict what w i l l be common about the graphs of these equations.

i) y = 3x-6 i i i ) y ^ - 4x - 6 i i) y - -3x - 6 iv) y - 4x - 6

25. Predict what w i l l be common about the graphs of these equations.

i) y = xt + 6 i i i ) y = 3x - 6

i i) y = 3x - 3 iv) y = 3x + 3

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Name; ED: A

Problem

26. Four students determined the slope of'the line through S( 9, - 8 ) and T(—11, 12). The'ir answers were: 1, ~ 1 , L and - 1 , Which answer is correct? How do you know?

27. Constraction workers are paving a road. The road must drop 2 cm for every 550 cm measured horizontally. a) What is the slope o f the road?

b) Suppose a section of the road drops 15.5 cm. How long is this section o f the road measured horizontally?

28. A line passes through R(6, 9) and K ( - 6 , 15). a) What is the slope o f line RK? b) Line V B is parallel to RX. What is the slope of VB? Explain your answer. c) Line W X is perpendicular to RK. What is the slope of WX? Explain your answer.

29. Line segment OT has endpoints 0(4 , - 6 ) and T(-10, 6). Line segment V L has endpoints V(6, 8) and L f - 6 , -6 ) .

a) Are these two line segments parallel, perpendicular, or neither? Justify your answer. b) Sketch the line segments to verify your answer to part a.

30. Write an equation to describe this function. Verify the equation.

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31 . An equation of a line is y = mx + 5. Determine the value of m when the line passes through the point J(--6, 3).

32. Francine runs a T-shirt company. For each order she receives, Francine charges a flat fee o f $40, plus $10.95

per T-shirt.

a) Write an equation for the total cost, C dollars, for ordering n T-shirts.

b) Marnell ordered 67 T-shirts. What was the total cost?

c) Jakub paid a total cost of $ 1167.85. How many T-shirts did he order?

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