Algebra Questions

What is the complete factorization of the polynomial function over the set of complex numbers f x x 5x 4x 20 Enter your answer in the box

Which answer best describes the complex zeros of the polynomial function f x x x 6x 6 O The function has three real zeros The graph of the function intersects the x axis at exactly three locations O The function has one real zero and two nonreal zeros The graph of the function intersects the x axis at exactly two locations O The function has one real zero and two nonreal zeros The graph of the function intersects the x axis at exactly one location The function has two real zeros and one nonreal zero The graph of the function intersects the x axis at exactly one location

What is the completely factored form of f x x 5x 4x 6 f x x 3 x 1 i 3 x 1 i 3 f x x 3 x 1 3 x 1 3 f x x 3 x 1 i 3 x 1 i 3 f x x 3 x 1 3 x 1 3

How many complex roots does the equation 0 325 24 522 1 have O 3 04 05

The number of books donated to a library is increasing by 25 each month Initially there were 80 books donated to the library There were 100 books donated at the end of Month 1 How many books are expected to be donated to the library at the end of Month 10 Round the answer to the nearest whole number Enter your answer in the box

In 2000 the population of a town was 8914 The population is expected to grow at a rate of 1 36 each year What is the population of the town in 2006 Round the answer to the nearest whole number Enter your answer in the box

Which equations represent exponential growth Which equations represent exponential decay Drag the choices into the boxes to complete the table Exponential Growth Exponential Decay

Alicia invested 32 000 into an account earning 3 annual interest compounded quarterly She makes no other deposits and does not withdraw any money What is the balance of Alicia s account in 7 years O 32 426 67 O 39 446 78 O 43 099 36

2 Grace and Kaitlyn are trying to find three consecutive integers such that the square of the second number plus the product of the first and third is a minimum Help them find the number

What is the length of the arc on a circle with radius 16 ft intercepted by a 60 angle Use 3 14 for T Round the answer to the hundredths place Enter your answer in the box ft

6 Which angles are coterminal with 5 Select each correct answer 0 0 16 5 11 5 75

An angle in standard position measures In which quadrant does the terminal side of this angle lie O Quadrant I O Quadrant II O Quadrant III radians O Quadrant IV

Define the Fundamental Theorem of Algebra Part B Show that the Fundamental Th

What is the value of sin given that 3 4 is a point on the terminal side of 0 0 1 1 0 13 1 5 O C 335 4

One company s profit is modeled by a quadratic function with zeros 5 and 20 The point 8 72 is also on the boundary line Any values above the boundary line exceed the expected profits What is the standard form of the quadratic inequality represented by the description A O O C B COD y 2x 50x 200 y 2 50x 200 y 2x 26x 80 y 2x 26x 80

Solve the equation 2x 15 x O O O A B C OD x 5 x 3 x 15 x 3 5

A soccer ball kicked from the ground with an initial velocity of 32 ft s is given by the function k t 168 32 When is the soccer ball moving through the air O A B C D t1 2 t 2 t1 4 t 4 t 0 t 2 t 0 t 4 1

Determine the solution for 2 3x 28 20 O A DOO OB O C D 7 4 4 7 x 4 or 7 00 7 or 4 00

Simplify the expression x2 17 O O O A B Oo C 2x7 7x x2 7 712

Choose the graph of y x 4x 5 O A O D O a C B L B H

Which expression is equivalent to x1 25 2 in simplified form O A O D 8 y Vys y

4a 49 O A 000 B O c OD 4 a 7 a 7 2a 7 2a 7 4a a 49 2a 7

Which graph represents the solution for 2 x 12 0 O O c C O D A B 0 8 6 4 2 0 2 4 6 8 8 64 2 0 2 4 6 8 0 8 6 4 2 0 2 4 4 6 68 8 6 4 2 0 2 4 6 8

Jeff used the equation 16 3 1 to calculate how many flowers were growing in his yard How many flowers did Jeff have growing in his yard O A B 5 O C 4 D 84 85

Where does the graph of the function h x 27x 125 cross the x axis A O O O B C D x 5 X 5 3 1 x 4 x 5 5 3

Select the quadratic inequality that represents the graph O A O B 10 5 20 10 3 24 10 4 30 0 V2 x 3 24 5

actor x x 12 O O O O A B O C O D x 6 x 2 x 3 x 4 x 3 x 4 x 6 x 2

Which of the following numeric expressions is a complex number III IV B D I II A O o C III only IV only 0 1 2i 3 4i III and IV only I II III and IV

Which polynomial function has a real root of multiplicity 2 O A y 4 12x 9x y 7 6x 3x y 4x 5x 5 y 4 92 B C

O A O Which of these polynomial functions is graphed below 8 6 4 2 O D B C D 40 Bet 20 50 10 LE 10 201 y 3 y x 27 y x 27 y x 3 2 2 6 8

Simplify the expression below 4 51 2 i O A DOO B C O D 13 6i 8 5i 13 6i

Use the table below to evaluate 149 2 i 1 O O B A C 3 8 1 1 1 N 1 5 i 6 1 17 1

10 5 kisi 3 kisilik yere Ka farki sekilde oturur

Write each expression in exponential form 14 7m A 3m C 7m Simplify 3 15 x 0 s A x C 10x 16 6b A 6b B 3 7 3 2 D m Write each expression in radical form B 27x9 D x6 B 4b m 3h

2023 Kuta Software LLC All rights Rational Denominators Simplify 2 12 4 A 2 3 5 5 6 1 3 3 15 2 20 4 3 9 A 15 2 B B a 1 6 3 3 4 3 2 4 reserved 2 A 4 5 2 4 5 3 9 5 2 4 5 A B B 2 D 9 3 2 2 3 15 2 12 5 C 10 D 24 12 3

5 7 3 2 2 4 A C A 2 3 5 B 9 C 1 3 2 2 3 15 5 9 2 2 2 15 30 3 75 13 4 6 2 3 5 15 4 3 A 4 2 3 3 C 4 B D 10 8 5 11 3 2 4 B 10 5 5 12 4 2 7 D 6 8 10 6 3 3 4 16 A C 8 2 3 2 A 4 5 10 3 3 16 10 6 3 2 6 3 2 2 2 3 4 3 3 5 4 6 3 A 23 B 8 2 15 C 2 D 4 5 2 10 24 8 3 3 D 18 9 5 B B D 6 2 2 7 2 3 2

11 11 6b 5 A 5b C 76 2 13 Radical and Exponential Form 2 024 Kuta Software LLC All rights Write each expression in exponential form 15 16 Write each expression in radical form 7 12 56 4 A b C 5b Simplify 13 64x4 A x4 C 512x6 14 14 1 A 3m C 7m Write each expression in exponential form Tm Simplify B 6b 1 D b 15 x 0 5 A x C 10x B 10b D 2b 1 16 6b A 6b C 7b B 1024x 5 D 6x B m D m B 27x D x6 Write each expression in radical form B 46 D 3b reserved

The population of bacteria in a petri dish doubles every 12 h The population of the bacteria is initially 500 organisms How long will it take for the population of the bacteria to reach 800 Round your answer to the nearest tenth of an hour O 48h O 76h O 8 1 h 0 92 h

What is the exact solution to the equation 2 2 5 O O 3 In 2 In 5 2 ln 2 2 In 2 3 In 2 In 5 2 In 2 3 In 2 In 5 3 In 2 In 5 2 In 2

What is the approximate solution to the equation 2 38 O 0 1906 O 3 6380 O 5 2479

Newton s law of cooling states that for a cooling substance with initial temperature To the temperature T t after t minutes can be modeled by the equation T t T To T e kt where T is the surrounding temperature and k is the substance s cooling rate A liquid substance is heated to 80 C Upon being removed from the heat it cools to 60 C in 12 min What is the substance s cooling rate when the surrounding air temperature is 50 C Round the answer to four decimal places O 0 0687 O 0 0732 0 0813

The population of bacteria in a petri dish doubles every 16 h The population of the bacteria is initially 500 organisms How long will it take for the population of the bacteria to reach 800 Round your answer to the nearest tenth of an hour O 87h O 108h

What is the exact solution to the equation 2 2 52 2 O 2 In 2 O 2 In 5 In 2 O In 2 2 ln 5 In 2 O 2 In 2 2 ln 5 In 2 In 2 2 In 5 In 2

What is the approximate solution to the equation 4 68 O 0 3285 O 3 0437 O 4 2195 17 0000

What is the exact solution to the equation 10 97 Enter your answer in the box x log

In OP m A m APC O True False

Kelsey is 5 years older than her sister Misty The product of their ages in years is 84 How old is Misty Drag the answers into the boxes to correctly complete the statements The equation where m is the Misty s age in years can be used to solve this problem

02 4 1 In 1970 the population of a small town was 4 200 The population is decreasing at a rate of 2 4 per year Complete the function that models the population y in the town t years after 1970 y CDC925 t To the nearest thousandth of a percent the population is decreasing about 4 y 10

1 6 Discuss the continuity of the function fat x 0 Iff is discontinuous at x 0 is it removable Sketch f 14 13 I 0 f x 1 x 2 1 x if x 0 if x 0 if x 0 3 steps

Fill in each blank with the appropriate word add subtract multiply or divide number or expression Recall that the solution set is denoted with curly braces a To solve the equation 2x 14 we must Write your response here Type your answer here Write your response here The solution is X Type your answer here b To solve the equation x 2 14 we must Write your response here Write your response here side of the equation The solution is X Type your answer here each side of the equation by 677 and the solution set is Type your answer here and the solution set is to each