# Algebra Questions

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Algebra

Permutations and CombinationsHow is the graph of g x x 1 related to the graph of f x x A The graph of g x is a translation of the graph of f x down 1 unit B The graph of g x is a translation of the graph of f x up 1 unit C The graph of g x is a translation of the graph of f x right 1 unit

Algebra

Complex numbers5 Find the equation of a line that passes through 5 2 and 1 3 in a point slope form b slope int form c general form

Algebra

Sequences & SeriesBear Grylls was dropped off in the wilderness and spots a camp 30 west of north He proceeds to hike 15 east of north for 2 5 miles and determines the camp is now 70 west of north How far is he from the camp at this point Answer to the nearest hundredth of a mile

Algebra

Sequences & SeriesExplain the errors in 3 of the 4 calculations below Then fix where possible 2 10 6 2x 10 10 1 2x 18 12 18 18 2x 6 2 2 x 3 3 12 10 4x 10 10 4 2x 2 2 2 X 4 12 4x 10

Algebra

Quadratic equations1 What is the value of r if 2 r 8 3 a 30 b 22 c 18 d 2 Exit Ticket 11 29 2 What is the value of x given the equation 3x 4 19 a 5 b 7 7 c 8 d 45 3 What is the value of n given that 12 6 3n a 2 b 1 3 c 2 d 18

Algebra

Complex numbers4 What is the value of r given that 10 6 4r a 4 b 1 c 4 d 1 5 What is the value of x given that 20 4x 4 a 4 b 4 c 8 d 6

Algebra

Quadratic equationsTopic 7 Error Analysis Explain the errors in 3 of the 4 calculations below Then fix where possible 1 2x 18 12 18 18 2x 6 2 x 3 2 2 10 6 2x 10 10 4 2x 2 2 2 x

Algebra

Quadratic equations4 3 x 15 x 15 3 2 x 18 2 x 18x2 x 36 7 2 4x 14 5 2 4x 18 8 10 4 8x 6 10 x 4 2 9 20 7 3x

Algebra

Complex numbersb How much of the financial goal comes from deposits and how much comes from interest Periodic Deposit Rate at the end of every three 2 5 compounded quarterly months Click the icon to view some finance formulas Time 4 years b of the 25 000 comes from deposits and Use the answer from part a to find these answers Financial Goal 25 000 a The periodic deposit is Do not round until the final answer Then round up to the nearest dollar as needed comes from interest Round to the nearest dollar as needed CHEERD Formulas In the provided formulas P is the deposit made at the end of each compo period r is the annual interest rate of the annuity in decimal form n is the of compounding periods per year and A is the value of the annuity after ty P 1 1 A P 1 r 1 r A P A H 2

Algebra

Complex numbers1 a cos 60 State exact answer not necessary to show afly a cos 150 co 30 a 0 COS 30 sin 240 Sin Go Sin 60 2 Solve for 0 such that 0 0 360 3 sin 0 2 Sine 60 0 240 and 30 10 sin 0 Sim 45 1 2 2 135 and us b sin 45 a cos 0 090 and 278 d tan 315 tan 45 tan 31s 1 f b tan 330 tan 80 tan 30 53 tan 0 1 b tan ys 8 185 and 315 Sin cos b Ton O COS S 60 pot a 455 A fc 0 135 and 225 6 0 and O 120 tan 0 1 3 tan 30 0 210 and 330 793 128

Algebra

Permutations and CombinationsFind the mean for the following group of data items 150 90 120 90 110 The meen is Type an integer or a decimal

Algebra

Sequences & SeriesHT Find the first fourth and tenth terms of the arithmetic sequence A n 1 n 1

Algebra

Quadratic equations45 Write a function rule gives the total cost p P pounds of sugar if each Pound costs 0 43 that of

Algebra

Sequences & SeriesSuppose that you decide to buy a car for 29 635 including taxes and license fees You saved 9000 for a down payment and can get a four year car loan at 5 84 Use to find the monthly payment and the total interest for the loan The monthly payment is Round to the nearest cent as needed The total interest for the loan is Round to the nearest cent as needed CHILE

Algebra

Complex numbersA fair coin is tossed three times in succession The set of equally likely outcomes is HHH HHT HTH THH HTT THT TTH TTT Find the probability of getting exactly one tail The probability of getting one tail is Type an integer or a simplified fraction

Algebra

Permutations and CombinationsA single die is rolled twice The 36 equally likely outcomes are shown to the right Find the probability of getting two numbers whose sum is 6 First Roll Second Roll A 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 The probability of getting two numbers whose sum is 6 is Type an integer or a simplified fraction 0 www TAPUSTEN

Algebra

Quadratic equationsEvaluate x 3x 2x 7 X 2 O x 5x 2 Ox 5x 8 111 Ox 5x 6 23 X 2 x2 5x 8 3 X 2 23 X 2

Algebra

Complex numbersWrite the equation of the graph shown below in factored form 0 Of x x 2 x 1 x 3 f x x 2 x 1 x 3 f x x 2 x 1 x 3 f x x 2 x 1 x 3 5

Algebra

Permutations and CombinationsWrite the equation of the graph shown below in factored form 5 f x x 2 x 1 x 3 f x x 2 x 1 x 3 f x x 2 x 1 x 3 f x x 2 x 1 x 31 5 0 5

Algebra

Permutations and CombinationsWhich of the following describes the function x 1 O The degree of the function is even so the ends of the graph continue in opposite directions Because the leading coefficient is positive the left side of the graph continues down the coordinate plane and the right side continues upward O The degree of the function is even so the ends of the graph continue in the same direction Because the leading coefficient is negative the left side of the graph continues down the coordinate plane and the right side also continues downward O The degree of the function is even so the ends of the graph continue in opposite directions Because the leading coefficient is negative the left side of the graph continues up the coordinate plane and the right side continues downward O The degree of the function is even so the ends of the graph continue in the same direction Because the leading coefficient is positive the left side of the graph continues up the coordinate plane and the right side also continues upward

Algebra

Complex numberseview Quiz What will it cost to carpet a rectangular floor measuring 24 feet by 12 feet if the carpet costs 29 49 per square yard It will cost

Algebra

Matrices & DeterminantsHow does the graph of g x x 2 3 6 compare to the parent function of f x x g x is shifted 2 units to the right and 6 units down g x is shifted 2 units to the right and 6 units up O g x is shifted 2 units to the left and 6 units down O g x is shifted 6 units to the left and 2 units down

Algebra

Quadratic equationsWhat is the quotient 6x4 15x 10x 10x 4 3x 2 O 2x 5x 2 2x 5x 2 O 2x 5x 2 2x 5x 2

Algebra

Complex numbersFind the intercepts and asymptotes If an answer does not exist enter DNE Enter your asymptotes as a comma separated list of equations if necessary x intercept y intercept 8x 18 x 8x 16 vertical asymptote s horizontal asymptote 10 x y 1 x y Sketch a graph of the rational function y 10 10 y 10 10 10 10 5 y 10 N 10 10 State the domain and range Use a graphing device to confirm your answer Enter your answers using interval notation domain 10

Algebra

Complex numbersUsing division what is the quotient 2x3 2x 12 x 2 O2x 4x 6 O 2x 4x 6 O 2x 4x 6 O2x 4x 6 1 x 2

Algebra

Complex numbersUse similar triangles to solve A person who is 6 feet tall is standing 90 feet from the base of a tree and the tree casts a 100 foot shadow The person s shadow is 10 feet in length What is the height of the tree The height is yd 90 ft 6 ft 10 ft

Algebra

Quadratic equationsUse the English and metric equivalents to the right along with dimensional analysis to convert the given measurement to the unit indicated 167 km to mi BILLED 167 km is approximately mi Round to the nearest hundredth as needed Approximate English and Metri 1 in 2 54 cm 1 ft 30 48 cm 1 yd 0 9 m 1 mi 1 6 km

Algebra

Permutations and CombinationsConstruct a truth table for the given statement 9 p q Fill in the truth table P T T F F q T F T LL F q 9 P 9 P q

Algebra

Quadratic equationsConstruct a truth table for the statement p q Complete the truth table below P 9 P 79 T T F F T T F LL F p q PU p q

Algebra

Complex numbersLet p and q represent the following statements p 6 3 9 q 8x5 80 Determine the truth value for the statement pvq Choose the correct truth value below Opvq is false Opvq is true

Algebra

Sequences & SeriesDetermine the truth value for the following statement when p is false and q is true q p Choose the correct answer below A False OB True

Algebra

Permutations and CombinationsStep 2 This is a binomial experiment with n 18 trials Let a success be that a student withdraws from the course It is given that 15 of students withdraw Recall the method used to find the probability of an event given a percentage given percentage 100 probability Thus the probability p a student withdraws from the course is as follows given percentage 100 probability p 100 For 2 or fewer students to withdraw from the course means that exactly Select dents withdraw Therefore x will be Select The probability of each x value is f x so the probability that 2 or fewer students withdraw from the course will be 0 1 or 2 2 1 or 2 0 or 1 Submit Skip you cannot come back

Algebra

Permutations and Combinations1 4 4x 12 4 20 10 5x Topic 6 Mixture 2 20 5 3x 5 10 2 2x 3 10 5 3x 6 16 8 4x

Algebra

Quadratic equations1 2x 6 12 4 3 x 15 Topic 4 Equations with negative coefficients constant terms 2 20 4 6x 3 4 8 2x 5 2 4x 18 6 10 x 4

Algebra

Complex numbers1 4 4x 12 4 10 3x 11 Topic 5 Equations with subtraction of the variable term 2 20 5 3x 5 4 4 2x 3 4 8 6x 6 12 4 8x

Algebra

Permutations and Combinations7 2 4x 14 10 4 2x 10 8 10 4 8x 11 12 13 5x 9 20 7 3x 12 4 x 10 2

Algebra

Permutations and Combinations1 10 x 3 4 2 x 4 5 Topic 3 Equations with variable on right 2 20 5x5 5 10 4 x 5 3 6 6x 12 6 3 x 2 1

Algebra

Matrices & DeterminantsThe payoff matrix and strategies P and Q for the row and column players respectively are given Find the expected payoff E of each game Round your answer to two decimal places 0 2 2 3 1 4 1 4 1 2 E 92 P 4 42 4 Q

Algebra

Quadratic equations1 4x 4 12 4 x 12 20 Topic 2 Positive whole number equations 2 3x 4 11 5 2x 8 10 3 6x 10 22 6 3x 9 3

Algebra

Permutations and CombinationsLet p and q represent the following simple statements p The chair is broken q I work hard Write the symbolic statement p q in words Choose the correct sentence below OA If I do not work hard then the chair is broken OB The chair is broken if and only if I do not work hard OC If the chair is broken then I work hard OD If the chair is broken then I do not work hard

Algebra

Permutations and CombinationsLet p and q represent the following simple statements p I get an A q I go to the gym Write the following compound statement in symbolic form I get an A or I do not go to the gym The symbolic form is

Algebra

Quadratic equationsDetermine whether or not the sentence is a statement Meet me at 8 00 Is the given sentence a statement OYes because it could be labeled as true or false It cannot be determined with further information Yes because it is a command No because it is a command O O