Algebra Questions

1 WN 2 2 25 Finding a Root of a Number In Exercises 1 16 find the root if it exists 1 64 3 3 100 65 4 4 49 5 25 6 6 1 7 7 1 8 9 8 9 10 10 64 11 11 3 27 12 12 64 9 27

13 1 8 12 53 14 15 16 10 17 7 18 3 3 19 10 20 8 12 3 21 10 2

Jake is observing the population growth of insects He started with 24 insects and the population triple every day Use x to represent the of days and y to represent the population of insects Write an equation to represent the scenario

9 Solve for x 36x 27x 10

5 What is the value of the logarithm Round answer to nearest ten thousandth In 175

4 What is the exponential form of the logarithmic equation 4 log0 7 0 2401

8 d B C A X Yukar daki ekilde analitik d zlemde d do ru su zerindeki A 8 0 ve B 0 6 noktalar verliyor C noktas A ve B noktalar n n orta noktas oldu una g re C noktas n n orijine olan uzakl ka birimdir

36x 27x 10 10 The function f x logx is transformed into the equation f x log x Identify the para and the effect the parameter has on the parent function

The function f a Ina is transformed into the equation f a In 9 2x Select from the drop down menus to correctly identify the parameter and the effect the parameter has on the parent function The function f x ln 9 2 x is a horizontal compression of the parent function by a factor of 9 2 Choose horizontal compression horizontal expansion 10

11 What are the x and y intercepts of the function Round to the nearest hundredth y log 5x 6 3 12 Graph the logarithmic function f x In r 4

1 Jake is observing the population growth of insects He started with 24 insects and the population triples every day Use x to represent the of days and y to represent the population of insects Write an equation to represent the scenario 2 Tell if each equation represents exponential growth exponential decay or neither and why a f t b P 22 1 76 c V 0 45 d W 3 2 x e g x 4 2 3

3 What is the y intercept of the exponential function f x 3 x 1 4 What is the exponential form of the logarithmic equation 4 log 0 2401

7 Solve the equation y log5 0 04 8 Find the exact value of x 4 63x 428

Kyle starts a fundraiser with 43 pennies He recruits all of the players on his baseball team to participate His goal is to triple the number of pennies each day Assume Kyle meets his daily goal Use x to represent the number of days and y to represent the total number of pennies Enter an equation in the box that represents this scenario

In 175 6 Tell if each statement about the equations are true or false Explain your answers y log5 x and y 5 a The graphs of the equations are symmetric to each other over line y 0 b b The equation y 5x is the exponential form of y log5 x c The functions are not inverses of each other d The equations are symmetric over the line y x

What is the exponential form of the logarithmic equation 5 logo 9 0 59049 Enter your answer in the box

What is the y intercept of the exponential function f x 0 25 6 2 1 Enter your answer in the box v intercept

make on your investment Quick refresher don t forget that rate of return and ROI are the same thing If you have a savings account paying you a 2 rate of return per year your Return on Investment or ROI is also 2 The Rule of 72 Divide the number 72 by your ROI It s as simple as that If you re making only 2 on an investment divide 72 by 2 and you ll know how many years it will take to double your money 72 divided by 2 36 years to double your money at 2 ROI now you try it How many years will it take you to double your money if Round off your answers to one decimal place Some of the answers are incorrect Have another look at the questions Here is a hint Divide the number 72 by your ROI Calculate 72 4 off to one decimal and 72 10 and 72 13 Don t forget to round place 1 Your ROI or rate of return is 4 10 0 0 years years

The function f x In z is transformed into the equation f x In 9 2x Select from the drop down menus to correctly identify the parameter and the effect the parameter has on the parent function The function In 9 Lic Chooco of the parent function by a factor of

Which statements represent the relationship between y 3 and y log2 Select each correct answer O The graphs of functions are symmetric to each other over the line y x The functions are inverses of each other The equation y log3 is the logarithmic form of y 3 O The graphs of functions are symmetric about the line y 0

y log 12x 7 3 Round only the final answers to the nearest hundredth Enter your answers in the boxes x intercept of the equation y intercept

In 121 le of the logarithm Round the answer to the nearest ten thousandth Enter your answer in the box

Solve the logarithmic equation y log10 0 0001 Enter your answer in the box y

What is the exact value of x 5 84z 376 Ox 0 x 0 x 0 x 4 log 75 2 log 8 log 8 4 log 75 2 4 log 8 log 75 2 log 75 2 4 log 8

Which graph represents the logarithmic function y log 12x 2 2 O O 4 3 2 2 y 5 4 3 2 1 2 A 1 2 3 4 5 6 7 8 9 2 3 X 4 5 6 7 8 9 O O 5 4 3 2 5 4 3 2 1 2 23 5 6 7 8 9 est 6 7 8 9

as a decimal to the nearest hundredth of a degree in the box 11 Enter the value of arcsin 0 37 a

9 Given cos 0 and 0 lies in Quadrant III what is the exact value of sin 0 in simplified form 3

Solve for x 511x 25 9 Enter your answer in the box X

1 What is the degree form for 41

2 What is a positive coterminal angle to 123 that is between 500 and 750 and a negative coterminal angle to 123 that is between 300 and 5000

10 The terminal side of 8 passes through the point 11 9 What is the exact value of sine in simpli form

12 What is the exact value of 117 6 T 3 5T 6 5TT 3 3 in radians Circle the answer be sure to show work and explain

7 What is the exact value of the trigonometric expression Note You should be able to find exact sine and cosine values as well tan 27 3

8 What is the exact value of the trigonometric expression in simplest form TL 2 cos 2 tan TT 3

6 A point on the unit circle lies on the terminal side of an angle in standard position in Quadrant I Indicate whether each measurement is positive or negative The cosine of the angle is circle one positive The sine of the angle is circle one positive negative negative

3 t A circle has a radius of 28 cm What is the arc length intercepted by a central angle that measures 4 radians Express the answer in terms of 7 Note You should be able to set up and solve for radius central angle and arc length

4 A circle has an arc of length 567 that is intercepted by a central angle of 120 What is the radius of the circle

3 In which quadrant does the terminal side of the angle 215 lie

The recursive formula for an arithmetic sequence is a 4 a 1 If a 99 what is the sixth term of the sequence 079 123 6

2 3x 12x 3x 12

Which graph shows all of the values of x that make the following statement true 4 64 O 3 3

2 3 O 9 z 32 18 2 6 1 12 6x2 62 O 4 5 6 O 4 2 4 4 4 52 7 4 9 8 9

8 O 1 1 O O 2 2 2 2 1

6 2x 8x 4x 16

6 CHOOSE ALL CORRECT ANSWERS 21 x 4 I x 0 x 7 X 3 X 1

3 x x x 1 0

5 x 4x 2x 8 0

B 1 2 3 4 5 6 6 7 8 9 2 3 HIN Type a response 3 21 z 1 Type a response

x 2x 5x 10 C

3 x x x 1 0