Algebra Questions

11 Find the exact value of the given expression sin 105 cos 345 sin 345 cos 105 19 0 01 14 0 3 1 2 2 8

10 Simplify the following expression algebraically 7cos x O cosx 3 2 O O 7 cos x O 3 COS X 7 sin x 7 cos x

O 3 n 3 n O ATT 4 1 11 2 1 1 2 3 3 4 n 5 0 2 2 T 2 1 n 7 O 3 3 2 17 251 n 3 n n

8 Use a graphing utility to graph the function f x 2 sin x cos x

63 xy yx 143 5 x y 58 85 58 85 143

J 2 Which of the following is equivalent to the given expression cos x 1J

1 Use the given values to evaluate if possible three trigonometric functions cos sin tan 3 6 2 0 4 seco csc o 3 5 5

3 Factor then use fundamental identities to simplify the expression below and determine which of the following is not equivalen cot a cot a tan a 1 cos a 2 O sec a D 1 1 cos a O csc a

5 Graph the expression on each side of the equals symbol to determine whether the equation might be an identity 2tan x sin x CSC X sin x csc X Identity Not an Identity

4 Evaluate the following expression 5 tan an77 2 O 4 O 6 O 5 O 6 tan 8

5 Describe the behavior of the function below as x approaches f x 3 cotx Of 1 as x O f as x Of 1 as x 1 O f 0 as x n O f o as x

X 9 Find the length of the arc on a circle of radius r intercepted by a central angle 0 Round to two decimal place Radius r 17 inches S 12 56 inches s 37 46 inches Os 41 46 inches S 17 74 inches Central Angle 0 133

8 A television camera is on a reviewing platform a meters from the street on which a parade will be passing from left right see figure Write the distance d from the camera to a particular unit in the parade as a function of the angle x a 25 Not drawn to scale am Camera

2 Use the Heron s formula to find the area of the triangle Round your answer upto two decimal places a b e O 0 10 O 0 11 O 0 08 O 0 06 O 0 12

4 Evaluate the following expression x 2 n where n is a whole numbe sec5x sec x tan x sec x sec x tan x O 4 sec x tan x O sec x tan x O sec x tan5x 4 secx tan X 4 sec x tan x

7 Convert the angle measure from degrees to radians Round to three decimal places 0 57 O 0 57 1 310 radians O 0 57 0 010 radian O 0 57 0 090 radian 0 57 1 010 radians 0 57 0 310 radian

1 Use the Law of Sines to solve for B and C Round your answer to two decimal place A 145 a 28 b 8 OB 25 57 C 9 43 RU B 0 18 C 32 89 B 0 18 C 39 82 OB 9 43 C 25 57 PU B 39 82 C 0 18

6 Find u v u 4 5 v 6 0 O 10 10 O 5 5 O 5 10 O 11 6 O 10 5

2500 invested for 6 years Pnnual rate is 01 0001 when will the investment double 9

17 4 4 25 17 4 Ston 17 4 At least one of the answers above is NOT correct Step 1 Find the x coordinate of the vertex correct incorrect Find the vertex of y x 5x 2 using the vertex formula This problem will not accept decimal answers Please use fractions only Your answer isn t a point it looks like a real number

Solve the following system of equations 2x 2y 50 gew 3x 3y 21 Solution s Enter your answers as points x y Because these systems are non linear you may have more than one solution If you have more than one solution enter your answers as a list of points co yo Use sqrt to enter radical answers do not use decimal approximations

lives in quadrant 4 x 9 y 5 T 106 1 sin 0 2 cos 0 3 tan 0 4 sec 0 5 csc 0 6 cot 0 5 106 9 106 5 9 106 9 5 9 106 5 tan 0 and sin 0 G

Use the simplex method to solve the linear programming problem Minimize w 4y 2y2 subject to 3y 2y 60 4y1 y2 40 y 0 y 20 O A 80 when y 2 and y 8 OB 66 when y 0 and y 0 OC 64 when y 4 and y 24 D 48 when y 24 and y 1

13 If a b and care positive numbers andis a b c a b c which of the following mus be true I c a II c b III a b I only A B II only C III only D I and II only E II and III only

15 Which of the following has the greatest value A 24 0 B 2 2 300 l C 8300 D 4350 E 4 2 200 4 400 8 600 Im slamay

stwoled all ov 14 If a b and b2 c what is a in terms of c A C 18 B c27 1 C c 2 D co E c2 fees 6

12 If 4 y which of the following equals 16y in terms of x A 4 2 B 42 C 42 x D 4 E 64

c x x 1 1 3

v x x 6x 8 xx x

X 3 Write 87 without radicals 3 8 2

9 Listen Number of Total cost stickers dollars 25 53 25 50 75 100 A political campaign manager orders bumper stickers online The company charges a shipping fee in addition to the cost per sticker Customers who order more than 100 stickers receive a 25 discount on the price of each bumper sticker The table shows the total costs of ordering different numbers of stickers What is the total cost of ordering 275 bumper stickers Total cost 98 25 Check 143 25 188 25 Skills Review Save Exit

Find mZZ 4 Z X Y Write your answer as an integer or as a decimal rounded to the nearest tenth mZZ 5 O

Enter the correct answer in the box Write the sum of 7 28x6 4 7x6 in simplest form if x C

8 P k 12 K 6k 40 B 3K 3 5k 2 5k 8 5k 8 5k 2 10 4 91 2 0 5 Factor each completely 9 2x 8x 10x A 2x x 1 x 5 B 2x x 1 x 5 C 2 x 1 x 5 D 2x x 1 x 5

Simplify each expression 2 2 2 m 3 A B C D 2 2m 1 m 3 2m 1 5 m 3m 4 4 2m m 3 2m 1 6m 8 m 3 2m 1 Find each product 4 4p 8 6p p 4 A 32p 24p 44p 12 B 10p 19p 46p 16 C 5p 32p 7p 2 D 24p 44p 24p 32 3 3 2 2 v 1 A C v 1 7 2v 2 v

8 An airplane is flying 700 feet above ground From the plane to the base of the control tower the angle of depression is 47 How far away is ground directly underneath the plane to the control tower Round your answer to the nearest tenth 4 foot above

A class of 195 students went on a field trip They took 7 vehicles some cars and some buses Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students

Solve the right triangle 4 I H 10 Write your answers as integers or as decimals rounded to the nearest tenth GI mZH G mZG O O

Solve the right triangle D CD mZD 7 m B Write your answers as integers or as decimals rounded to the nearest tenth O C O 3 B

f x x 3x 9x 5

Find mZU W 5 9 U V Write your answer as an integer or as a decimal rounded to the nearest tenth

Find mZG G 9 mZG H 4 I Write your answer as an integer or as a decimal rounded to the nearest tenth

Find mZW W 7 mZW Y 5 X Write your answer as an integer or as a decimal rounded to the nearest tenth

Solve the right triangle E G EG FG 9 mZE 26 Write your answers as integers or as decimals rounded to the nearest tenth F O

Find mZP R 10 P 10 3

Find mZX 3 5 X Y mZX 3 15 O W

4 ANSWERS GIVEN AS A DECIMAL WILL BE COUNTED AS INCORRE 3 13 2 Solve each inequality 14 1 2 5x 4 s61 A x 7 or x 5 27 27 B 7 x 5 C 1 x 2 D x 1 or x 2 4 Find Solve each inequality and graph its solution 515 3x 5 3 3 27 A x orx 1 16 B 4 x 9 C x 5 or x 15 D 2 x 4 3 2 1 0 1 2 3 4 5 6 7 8 8 7 6 5 4 3 2 1 20 16 12 8 8 7 6 5 4 3 2 10 0 1 2 3 4 4 e 12 0 ZO

3 6x 9x 1 Find

Simplify each expression 3x 7x 6 9 6x 3x 9 5 A 7 A 8 8 x 10 x 2 1 2x 28x 8x 14 x B x 4 3 D 4 2k 9 5k 2 5k 8 15x 51x 18 15x 16x 4 D 0 Simplify each and state the excluded values k k 12 k 6k 40 k 3 A 10 4 k 10 5k 3 0 B B 5 x 8 D 5k 8 0 5k 2 x 3 1 x 3 x 9 x 2 2 52 556 6 Factor each completely 9 2x48x 10x A 2x x 1 x 5 B 2x x 1 x 5 C 2 x 1 x 5 D 2x x 1 x 5 6 3a 9a 3 5a 9a 5 C 10a A B 8 D 49

1 Evaluate each function 10 w t 1 Find w 10 A 7 B 0 D 10 C 4 Evaluate each function Round to the nearest hundredth if necessary TWO DIGITS 11 p n n 4 2 Find p 1 4 A 3 9 B 5 6 C 7 3 D 6 4 Each graph represents a relation Determine if the relation is a function 2 12 AV 6 A The relation is not a function B The relation is a function Y