Algebra Questions

1 Solve for x and simplify the answer a 6x 2x 3 0 to no pignus b 2x 4x 5 0 c 2x 2x 3

60 X

Santa s sleigh is flying at a constant height above the ground It drops a present which follows a parabolic path described by the equation h 0 5t 2 5t 10 where h represents the height in meters and t represents the time in seconds How long does it take for the present to hit the ground

1 Tane Tane 1 1 Tane

A XC N THE HD 24 2 RI 12 Libe F midt U

Which graph represents the function of f x 0 D THIM HII DE DE TRE MINE THE HOME HUO WA M DE TRES HOME CHI HAR EN AMA MEMOR DE SPESAN KAM MENU MERE FLE A ZERNETU PAMUZINMOTO MEHRERE DOL BIENTE TWEETS DE RE 3 6 4 S Ang off BETE C 12 10 All 8 IN APANIE THEMONE 100 CO de 14 HEARN IN MOME 12 8 10 12 10 MI 5 NO 15 T 0 VEN TAMAAN CENAZIMEN 14 me HIILARIN m HIIL CON 9x 367 3x 6 I THE J HE M

Given 3x x 4 what are the domain and range X 1 OD XER X 1 R ye R ly 1 OD XER X 1 R ye Rly 1 OD X E R X 1 R ye Ry 7 E OD X E R X 1 R ye Ry 7

What are the x intercept s of the function f x Ox 9 Ox 0 Ox 9 4x 36x2 x 9

What are the domain and range of the function f x OD X ER X 4 R ye R y11 E x 3x 28 X 4 OD X ER X 7 R ye Ry 4 E OD X R X 4 R ye Ry 11 OD X ER x 7 R y R y 4 E m

f sin tane cos 1 tan 0

x 22 sin x sec x sin

2 5 Solve for y y 5y 6 0 y 5y 6 1 21 3 3 a b C 8 27 d 216 1

15 Find the exact solutions to the trig equations for x 0 27 a 4 sinx 2 0 b 6cosx 3 0 c 2 tan x 2 0

32 y csc 2x

22 sin x sec x x sin X

32 y csc 2x

14 cos sin cos sin 1

1 1 0 If A 2 2 1 0 1 1 0 denotes Null matrix then a B is B 3 D 3 where A 1 C 4 3 2 and A A 4A B 0

Sinx tanx cosx secx sin x cos x serx cosx 1 losx Seix

Find the domain and range of the relation and determine whether it is a function What is the range of the relation OA 1 y 1 OB 6 y 6 OC 1 y OD o y 200

Make a table of values for the equation Then graph the equation y x 2 1 Complete the table of values below y X 5 3 1 0 1 3 5 Simplify your answers Which graph below is the correct graph of the equation

Find the domain and range of the relation and determine whether it is a function UC 1sy 00 OD y 0 Is the relation a function No Yes CEILD 6 Ay

Write the polynomial in standard form Then classify the polynomial by degree and by number of terms 6x 5x 3x Write the polynomial in standard form Simplify your answer Classify the polynomial The polynomial is a

The domain of the piecewise function is 0 00 a Graph the function b Use your graph to determine the function s range a Choose the correct graph below OA 20 Ay OB f x 2x if x 0 2x if x20 b The range of f x is y20 Type your answer in interval notation O C Q D

For f x 5x 4 and g x 2x 3 find the following functions a fog x b gof x c fog 1 d gof 1 a fog x Simplify your answer b gof x Simplify your answer c fog 1 Simplify your answer d gof 1 Simplify your answer

Graph the inequality on a number line Then write the solution in interval notation x1 7 x 4 Select the correct graph below OA OC 10 7 4 10 Now enter the solution in interval notation 0 0 10 10 OB O D 10 10 0

Find the domain and range of the relation and determine whether it is a function What is the domain of the relation OA 1 x 0 OB 1 x 1 OC 6 x 6 3 G E

Find the midpoint between the interval 5 19

Find the width between the interval 8 7

Find the midpoint between the interval 9 2

Find the 11th term of the arithmetic sequence a11 4 8 4 9 3 3 1

Simplify the expression Write the final form with no fractions sin x 2sinx 1 sin2x sinx tan sin cos cot Osec

Solve the system using substitution Write your answer as an ordered pair If there is no solut or infinite solutions leave the solution blank and select no solution or infinite soltutions x y 4 y x 4 Solution This system has infinite solutions one solution no solution

In what important way does receptor mediated endocytosis differ from phagocytosis It transports only small amounts of fluid It does not involve the pinching off of membrane It brings in only a specifically targeted substance It brings substances into the cell while phagocytosis removes substances

Which equation best models the set of data shown in this table 4 27 O A 0 11 2 19 y 2z 17 OB y 11 2 0 3 4 3 O c y 11 z 0 3 4 3 OD y 2x 17 6 35 8 37 10 40 12 44 14 45 16 48

et f x 4x 1 and g x 6x3 4 Perform the indicated operation and state the domain 7 f x g x e inverse function

Simplity 3 6x y 144x 3 6x y 144x 2 3

Q 13 A ball is thrown straight up from 3 m above the ground with a velocity of 14 m s This action can be modelled by the quadratic function h t 5t 14t 3 where t represents time in seconds and h t represents height a After how many seconds does the ball hit the ground b What is the maximum height the ball reaches and state the time this happens 3

1 11 A 5m C 5m 13 A C 3m 5m 6 6 5 15 C 14x 56x 66 A x 7 x 8 x 12 B D 5m 12 2 n n n n n 2n 3 n 5n 6 n 5 3 n 3 2 3 n 4 n 2 m B D n 2 n 3 1 x 4 B 19 7x 33 12 14 16 12 A 9 C 14 A B C D 16 10 6 4 8m A 15 8m B D 4 4p 20p 4p 20p p p 6 p 2 p 1 2 P 5 p 1 p 1 P 2 P 3 1 4 p p 72 P 11 P 5 13 C P 20 11 1 m 1 P 8 B D P 9 P 11 P 7 P 9

Find each product 7 4m 4 2m 6m 5 A 8m 16m 4m 20 B 49m 28m 61m 40 C 24m 40m 16m 64 D 16m 18m 28m 49 Simplify each expression 9 5p 29p 42 25p 35 5p 19p 30 7 5p A 4p p 9 p 7 5 p 7 P 5 B C 5 D 3p p 9 10 8 10 8 8b 8 b 6b 5 A 25b 50b 31b 24 B 8b 40b 8b 40 C 14b 36b 19b 20 D 28b 44b 56b 64 10 A C 14m 25m 25 m 10 m 9 m 6 m 4 3 m 2 m 10 3m 6 14m 25m 25 B 8 m 9 7 4 m 9 D

9 Simplify each and state the excluded values x 15x 56 10x 80 17 A B C D x 7 19 8 10 x 8 3x 5x x 3 5x 8 9 5x 9 0 7 3 8 State the excluded values for each 12n 4n 12n 24n Factor each completely 21 5p 10p 18 18 20 22 A B 6x 60 x x 90 20 6 9 x 7 x 3 5 x 2 3 x 3 x 7 D 8 7 x 7 9 10 3 63p 81 27p 27 0 3 22 m 2m 63

REVIEW Final Sum Factor each completely 1 8x 28x Simplify each expression 2x 2x x 3 x 2 3 A B 5 C D A B 5 x 4 C D 5r2 5x 6 2x x 3 4x 10x x 3 x 2 6x 3x x 1 2x 1 2x 3x 2 2x x 3 4x x 3 5x 15 4x x 4 17x x 12 4x x 4 x 13x 12 4x x 4 4x 11x 15 x 4 x 3 6 2 4 2 6x 4x 3 x 4 2 6 A B C D A 2m 2 2 3m m 3 2 2m 2m 6 B 2 4x 6 6x 5x 4 2 2x 3 6x 7x 1 2 2x 3 6x 9x 2 C D 2 2x 3 3x 3 4 1 x 3m m 3 2 4m 9 m 3 m 3 5m 4 3m 6m 5m 6 3m 6m

4 The baseball player in center field is playing approximately 300 feet from the television camera that is behind home plate A batter hits a fly ball that goes to the wall 390 feet from the camera see figure The camera turns 7 to follow the play Approximately how far does the center fielde have to run to make the catch aft BA

3 To approximate the length of a marsh a surveyor walks 275 meters from point A to point B then turns 76 and walks 245 meters to point C s figure Approximate the length AC of the marsh C a B b A

7 In the figure below a 8 b 9 and 0 48 Use this information to solve the parallelogram for c The diagonals of the parallelogram are represented by c and d Round your answer to two decimal places 8 b figure not drawn to scale

15 Find the magnitude of vector v with initial point 7 5 and terminal point 3 O 2 51 O 20 2 O 10 2 O 74 14

14 Find a unit vector in the direction of the given vector 0 4 U O 0 0 O 1 0 O 0 1 O 1 0

4 The baseball player in center field is playing approximately 300 feet from the television camera that is behind home plate A batter hits a fly bal that goes to the wall 390 feet from the camera see figure The camera turns 7 to follow the play Approximately how far does the center fielde have to run to make the catch aft

10 Find the magnitude of vector v t 5 4 4 3 f 3 2 V 1 1 2 3 4 X

5 To determine the distance between two aircraft a tracking station continuously determines the distance to each aircraft and the angle A betwe them see figure Determine the distance a between the planes when A 41 b 34 miles and c 19 miles B b