Algebra Questions
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Algebra
Complex numbersPerform the indicated operations 2p 26 4p 3p 6 2p 6p 20 2p 26 4p 3p 6 2p 6p 20 Simplify your answer Type your answer in standard form
Algebra
Permutations and CombinationsPerform the indicated operations 2x 2xy 3y 4x xy 2y 2 xy 4y 2x 2xy 3y2 4x xy 2y xy 4y Simplify your answer Type your answer in standard form
Algebra
Quadratic equationsThe accompanying bar graph shows the resident population and the land area of a particular country for selected years from 1800 through 2019 Use the information to find the population density of a certain country to the nearest tenth expressed in people per square kilometer in 1900 Click here to view the bar graph The population density in 1900 was approximately Round to the nearest tenth as needed OKEERI people per kilometer people per kilometer people per square kilometer 1 in2 1 ft 1 yd 1 mi 1 acre 6 5 cm 2 0 09 m 0 8 m 2 6 km Save 0 4 hectare ha
Algebra
Quadratic equationsPerform the indicated operations 6x 7 5x 8x 3 x 1 6x 7 5x 8x 3 x 1 Simplify your answer Type your answer in standard form
Algebra
Complex numbersEvaluate the polynomial 3x y 8xy 2 for x 4 and y 1 The polynomial 3x y 8xy 2 is Simplify your answer for x 4and y 1
Algebra
Permutations and CombinationsPerform the indicated operations 8d d 6 3d 2d 8d d 6 3d 2d Type your answer in stand
Algebra
Quadratic equationsSubtract the following polynomials 8 7y 4y 7 5y 2y 8 7y 4y 7 5y 2y Simplify your answer Type your answer in standard for
Algebra
Quadratic equationsbtract the following polynomials 5t 8t 3 9 21 Simplify your answer Type your answer in standar
Algebra
Quadratic equationserform the indicated operation 8xy 7 6xy 5 8xy 7 6xy 5 Type your answer in standarc
Algebra
Permutations and CombinationsEvaluate the polynomial 3 x for the given values a x 2 b x a Evaluate 3 x for x 2 5 2 c x 1 5
Algebra
Complex numbersSubtract the polynomials 6x 2 13x 7 6x 2 13x 7 Simplify your answer Type your answer in stand
Algebra
Quadratic equations2 Evaluate the polynomial 4x x 8 for each of the given values a x 0 b x 5 c x 2 a The value when x 0 is Simplify your answer
Algebra
Complex numbersSubtract the polynomials 4a b 4ab 3 4a b 3ab 9 4a b 4ab 3 4a b 3ab 9 Simplify your answer Type your answer in standard form
Algebra
Complex numbersubtract the polynomials Express your answer in standard form 3a 7 2a 7 3a 7 2a 7 Simplify your answer
Algebra
Quadratic equationsSubtract the following polynomials 7y 6y 3y 7y 3y 7y 6y 3y 7y 3y Simplify your answer Type your answer in standard for
Algebra
Permutations and CombinationsSubtract the polynomials 6x 9x 4 8x 8x 5 3 6x 9x 4 8x 8x 5 Simplify your answer Type your answer in standard form
Algebra
Complex numbersSubtract the polynomials 5p 6p 7 5p 5p 9 CE 5p 6p 7 5p 5p 9 Simplify your answer Type your answer in standard form
Algebra
Complex numbersAdd the polynomials 5x 3xy 8y 2x 6xy 5y 5x 3xy 8y 2x 6xy 5y Simplify your answer Type your answer in standard form
Algebra
Quadratic equationsAdd the polynomials 2 4n 2 47 7n 3 5n 6 7N 3 5n 6 Simplify your answer Type your answer in standa
Algebra
Sequences & Series14 1 point Write an explicit rule to represent the sequence 20 24 28 32 36 Of n 4n 12 Of n 4n 20 O f n 4n 16 Of n 4n 24 Previous
Algebra
Quadratic equations20 1 point Mike wants to rent a car for his vacation The rental costs 125 a week plus 15 a mile How far can Mike travel in a week if he wants to spend at most 200 Mike can drive at most 500 miles Mike must drive more than 500 miles Mike can drive an unlimited amount of miles Mike can drive at most 5 miles 0000 Previous Ne
Algebra
Permutations and Combinations7 1 point Brian has 88 in his savings account If he saves 3 50 per week how long will it take him to save 200 in his account 57 weeks 37 weeks 32 weeks 109 weeks 00
Algebra
Quadratic equations15 1 point In the equation below solve for y 2x 5y 12 O Y 2x 12 5 y 50x 2x y 2 12 5 y 10x 60 Previous
Algebra
Complex numbers8 1 point The sum of a number and three more than twice that number is 27 What is the smaller number 12 3 8 10
Algebra
Complex numbers10 1 point For the quadratic function below what is the rate of change over the interval 5 x 6 0 0 0 2 1 1
Algebra
Quadratic equations16 1 point Solve for b in the following equation 3x 3b 12 b 12 a b 4 a b 4 3x b 12 3x Previous
Algebra
Complex numbers13 1 point Write an explicit rule to represent the sequence 4 10 16 22 f n 6n 2 f n 4n 6 f n 6n f n 6n 10
Algebra
Quadratic equations4 1 point This is a correct application of the zero product property If ab 8 then a 8 or b 8 True False Previous
Algebra
Complex numbers1 1 point Factor out the GCF 2x 4x 6 No GCF to factor 2 x 2x 3 2 x x 2 2 x 2x 3 OO
Algebra
Quadratic equations5 1 point When solving this quadratic equation 5m 8m 1 you would get m 1 True False 4 11 5
Algebra
Quadratic equations1 point Does the parabola below have a maximum or minimum Give the value O min 2 max 2 max 3 min 3 3 2 2 3 5
Algebra
Permutations and CombinationsCalculate the rate of change for the quadratic function over the given interval f x x 4x 5 1 x 2 4 2 5 1
Algebra
Permutations and Combinations1 point The New Haven High School cheerleaders got a t shirt gun The cheerleaders stand on the track and shoot the t shirts up in the air The quadratic function that models the height in feet of the t shirt after a certain amount of time in seconds is h t 16t2 64t 4 What is the maximum height the t shirt reaches 4 feet 16 feet 68 feet 100 feet
Algebra
Sequences & SeriesThe area of a parallelogram is 28cm 2 One base of the parallelogram is 14cm long The other base is 7cm long Which of the following are heiahts of the naralleloaram
Algebra
Quadratic equationsb If the tank is half full approximately how many miles has Troy driven since last filling up his tank
Algebra
Complex numbersUse the table of English and Metric Equivalents for Capacity along with dimensional analysis to convert the given unit to the unit indicated 2 tbsp to mL Click to check the table of English and Metric Equivalents for Capacity 2 tbsp mL
Algebra
Quadratic equationsSimplify the following expression 4 2 Type an integer or a simplified fraction
Algebra
Sequences & SeriesQuestion 6 of 10 Academic Total Number of Year End Computers 1985 2005 2006 630 000 13 600 000 14 165 000 Students per Computer 84 1 1 The number of computers being used 4 0 Enter the exact answers for a and b a Find the average rate of change from 1985 to 2005 in 3 9 computers per year il The number of students per computer students per computer per year b Find the average rate of change from 2005 to 2006 in i The number of computers being used ii The number of students per computer computers per year students per computer per year c Using the annual average rate of change between 2005 and 2006 find the number of years after 2005 in which there wa projection of two students per computer Round the answer to the nearest integer
Algebra
Sequences & SeriesLet A be the set of integers that are multiples of 3 between 2 and 15 inclusive and B be the set of even natural numbers up to and including 20 Find An B
Algebra
Permutations and CombinationsView Policies Current Attempt in Progress A graph illustrating a corporation s profits indicates a positive average rate of change between 2005 and 2006 another positive rate of change between 2006 and 2007 a zero rate of change between 2007 and 2008 and a negative rate of change between 2008 and 2009 Describe the graph and the company s financial situation over the years 2005 2009 From 2005 to 2006 the graph indicating that From 2006 to 2007 the graph From 2007 to 2008 the graph From 2008 to 2009 the graph eTextbook and Media indicating that indicating that 11 indicating that
Algebra
Sequences & SeriesRound your answers to two decimal places a In 1990 a prominent industry showed a net loss negative profit of 1 23 billion In 1999 the industry had a net profit of 8 06 billion Find the average annual rate of change in net profits from 1990 to 1999 The average annual rate of change in net profits from 1990 to 1999 was b In 2008 the industry s net profits were 16 6 billion i Find the average rate of change in net profits from 1990 to 2008 The average rate of change in net profits from 1990 to 2008 was Si II Find the average rate of change in net profits from 1999 to 2008 The average rate of change in net profits from 1999 to 2008 was billion per year billion per year billion per year
Algebra
Complex numbersThe table shows data on U S international trade as reported by the U S Bureau of the Census Year 1990 eTextbook and Media 2002 U S Exports billions of 537 2 974 1 Round your answer to one decimal place Average rate of change of the trade balance is U S Imports billions of 618 4 1392 1 What is the average rate of change between 1990 and 2002 for the trade balance U S Trade Balance Exports Imports billions of 81 2 418 0 billion dollars per year
Algebra
Quadratic equationsView Policies Current Attempt in Progress The consumption of a food in pounds per person decreased from 10 9 in 1993 to 5 8 in 2007 What was the annual average rate of change Round your answer to two decimal places The annual average rate of change was eTextbook and Media IF pounds per person per year
Algebra
Quadratic equationsYour car s gas tank is full and you take a trip You travel 205 miles then you fill your gas tank up again and it takes 9 4 gallons If you designate your change in distance as 205 miles and your change in gallons as 9 4 what is the average rate of change of gasoline used measured in miles per gallon Round answer to one decimal place i miles per gallon
Algebra
Complex numbersCurrent Attempt in Progress Examine the following graph of a function y f x 3 2 M B a Over what x interval is the function increasing i F What is happening to the average rate of change between the points in that interval The average rate of change is on that interval b Over what x interval is the function decreasing What is happening to the absolute value of the average rate of change of the points in that interval The absolute value of the average rate of change is in that interval
Algebra
Sequences & SeriesView Policies Current Attempt in Progress The African elephant is an endangered species largely because poachers people who illegally hunt elephants kill elephants to sell the ivory from their tusks In the African country of Kenya in the last 10 years the elephant population has dropped from 150 000 to 30 000 Calculate the average rate of change Average rate of change is i eTextbook and Media elephants per year