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Algebra

Complex numbers5 Consider the sequence an defined by the recursion for n 3 4 5 an an 1 1 4 An 2 a Calculate h such that an h 1 fulfills the recursive definition 1 b What is the limit of the sequence an if it exists

Algebra

Matrices & Determinants52 22 6 Consider the matrix A a Find an orthogonal matrix P and a diagonal matrix D such that A PDPT b Compute A77 and leave your answer as a product of 3 matrices leave numbers in calculator form

Algebra

Sequences & SeriesIn the diagram shown below two ships are at points P and Q The ships are in the same vertical plane as an airplane at point R When the height of the plane is h 3650 feet the angle of depression from point R to point P is 58 degrees and the angle of depression to Q is 41 degrees Determine the distance between the two ships Enter an exact expression or round to the nearest whole number To present an angle in degrees type deg or use the MathPad degree symbol For example sin 30deg P distance from P to Q ft Q

Algebra

Quadratic equationsFor this problem consider a triangle with side lengths A B C with opposite angles a B Y respectively Suppose that A 2 B 5 C 39 Calculate y in degrees Enter only a numerical value Do not type degrees 30

Algebra

Quadratic equationsUse a system of linear equations to find the quadratic function f x ax bx c that satisfies the given conditions Solve the system using matrice 2 2 f 1 2 2 14 F x

Algebra

Quadratic equationsFactor the expression completely over the complex numbers y4 24y 144 Enter your answer in the box

Algebra

Matrices & DeterminantsIII x 4 y x 1 y 2x 2 y 4 y x 1 y 2x 2 x 4 y x 1 Interim Checkpoint Algebra 2 Checkpoint 1 Part 1 WEX 543211 Simp 345 D

Algebra

Quadratic equationsent Marshall uses the polynomial identity polynomial identity x y x What values can Marshall use for x and y Interim Checkpoint Algebra 2 Checkpoint 1 Part 1 O x 8 and y 64 O x 2 and y 6 O x 64 and y 0 O x 10 and y 2 2xy y to show that 8 64 16 17 18 19 20 21 22 23 24

Algebra

Quadratic equationsSolve for x 3x 2x 2 0 Enter your simplified answers as exact values in the boxes X or x

Algebra

Quadratic equationsintent What number needs to be added to both sides of the equation to complete the square x 9x 8 Enter your answers in the boxes x 9x 8 Basic 8 Interim Checkpoint Algebra 2 Checkpoint 1 Part 1 9

Algebra

Quadratic equationstent E III Solve the system of equations using the linear combination method 2x 5y 1 3x 4y 13 Enter your answer in the boxes Basic 7 8 Interim Checkpoint Algebra 2 Checkpoint 1 P 9 X y

Algebra

Permutations and CombinationsGerry is a restaurant manager and plans to advertise her restaurant The advertising budget is 5000 and she plans to run television and online ads She would like to run at least 5 television ads and 10 online ads A television ad costs 500 and an online ad costs 150 Let x represent the number of television ads and y represent the number of online ads Two of the constraints for this situation are 5 and y 10 What is the other constraint for this situation Enter your answer in the boxes

Algebra

Complex numbersFactor the expression over the complex numbers x 24 Enter your answer in the box

Algebra

Quadratic equationsWhat is the solution to the inequality 2 2 3 52 9 Enter your answer in the box

Algebra

Complex numbers11 Solve for x 10 5 25 45 Enter your answer as one inequality in the box 7 Interim Checkpoint Algebra 2 Chee 8 9

Algebra

Complex numbersWhat is the product of 5 Enter your answer in standard form in the box Basic 7 4 8 of 5 2i and 3 4i 5 9 6 X X X

Algebra

Complex numbersWhat is the radical form of the expression 2z y5 O 2x y8 8x12y15 64x32 y 40 2x 2 y 15 Interim Checkpoi

Algebra

Complex numbersWhat are the roots of the equation 2x x 6 Select each correct answer 3 10 2 0 1 1 3 0

Algebra

Complex numbersE 2x 3y6 5 3 2 5 4 3 2 1 54 3 C Interim Checkpoint Algebra 2 Checkpoint 1 Part 1 O 5 3 2 1 5 4 3 2 1

Algebra

Complex numberswe JII Subtract 2x 2x 8x 2 x 5x 2x 7 Enter your answer in standard form in the box Basic 7 Interim Checkpoint Algebra 2 Checkpoint 1 Part 1 8 9 0

Algebra

Sequences & Series5 Islamic calligraphy is the art of A writing in a beautiful and elegant manner OB weaving textiles with floral and geometric designs C painting rapidly in watercolor on wet plaster OD sculpting a pot and decorating it with geometric shapes

Algebra

Complex numbersvariation is 23 What is the median in the following data set 32 15 27 18 28 18 28 22 41 17 31 12 36 Round your answer to the nearest tenth 24 Simplify 5w 12 8 w 5 0 12 the constant of 25 Solve for a 10x 7 30x 21 O x 0 Ox all real numbers O has no solution 26 Convert to slope intercept form 8 321 12 x

Algebra

Complex numbers35 What is the scale factor if a 6 inch by 6 inch photograph is enlarged to a poster that is 4 ft by 4 ft 4 ft 48 in 0 t t O Ott 08 O 1 5 36 How many ml of 60 percent acid should be added to pure acid to make 50 ml of 85 percent acid O 18 75 ml O 1 88 ml 9 38 ml 37 Rewrite the following expression as a fraction times the variable 9a

Algebra

Complex numbersrational O irrational 39 Simplify completely 16 40 Bill is going into business selling homemade sandals The supplies for each sandal cost him 3 07 and he wants to earn at least 18 00 for each sandal to compensate for his time The best cost equation the cost of the sandal when you sell it for this situation is Use x to represent the number of sandals C 41 Change the equation x 8y 5 0 into an equivalent equation written in the slope intercept form O y x 1 Oy x 1 O y fx 1

Algebra

Sequences & Series42 The temperature from midnight to noon on March 15 can be modeled using the function T h 4 2 h 42 where T temperature and h hours relative to noon note h 0 represents noon Find the domain of the function O 12 h 0 O 0 h 12 O 6 h 0 O 12 h 12 43 75 of 400 is O 10 O 30 O 100 O 300 44 Linear relations are not functions when they appear graphically as O horizontal lines Overtical lines

Algebra

Complex numbersO 9 and 1 O9 and 1 O 9 and 1 33 Write and solve the equation based on the following diagram x X X 1 34 The point 3 0 is found in quadrant O IV O I ON

Algebra

Matrices & Determinants45 Solve the inequality set Graph the solution on a numberline 13 11 and x 6 5 O 2 and x 11 O 2 and x 11 O 11 O 2 O all real numbers Ono solution 46 Graph the following system on a sheet of paper or graphing utility 3 and y 5 Determine which of the following points if any satisfy the system More than one answer may be correct check all correct answers 4 9 0 1 3 9 0 5 2 11 3 1 8 11

Algebra

Quadratic equations47 The larger of two numbers is 17 more than the smaller When added together the sum of the larger number an four times the smaller number is 157 What are the two numbers larger number smaller number 48 Evaluate 3 14

Algebra

Complex numbers25 Solve for a 10x 7 30x 21 x 0 O X O has no solution all real numbers 26 Convert to slope intercept form 8x 3y 12 y 27 Graph the equation y 0 8x 1 If you have a graphing calculator you may Find a when y 1 3

Algebra

Permutations and Combinations29 Replace the with the correct symbol or which will make a true statement from the following expression 1 2 V 11 30 Is AGHI a right triangle if the length of the three sides are 13 11 and 21 O cannot be determined O no O yes 31 Solve the systems of linear equations using a graphing method y 3x 17 y 4x 11 O 5 4 O 4 5 O 5 5 Ono solution parallel lines

Algebra

Sequences & Series10 the ratio of their areas is what Mark all correct answers more than one answer may be correct 02 1 4 to 1 2 to 1 04 1 y k 2 1 04 1 6 Solve the equation below and find the variation constant k Find y when x 86 if y varies inversely as x and y 101 when x 13 Round your answer to the nearest thousandth if necessary x 7 Solve for x x 1x 1 Write your answer as a fraction

Algebra

Quadratic equationsO x 6 Ox 40 25 Ox 40 25 O 6 11 Simplify 6c 2c 8c x 12 Given the formula PV nRT solve for the variable T Hint click the button next to the answer box to make sure your answer is formatted correctly Use parentheses if needed T x 13 Let x 1 y 2 and z 4 Evaluate 2x 1 3x 3y 07 O 11 O 5

Algebra

Complex numbersK Graph the solution set of the following system of inequalities x 1 y 1 36 x 1 y 1 16 Choose the correct graph below O A Ay OB Ay Q O C Q OD

Algebra

Complex numbers15 Find the mean the median and the mode of the temperatures 61 89 93 102 45 89 O mean 95 8 median 97 5 mode 89 O mean 79 8 median 89 mode 1 O mean 95 8 median 89 mode O mean 79 8 median 97 5 mode 89 real numbers x irrational numbers whole numbers 16 To which number set s does the following number belong 11 Multiple answers may be correct Mark all correct answers rational numbers 89 integers 89

Algebra

Quadratic equations18 Solve the following proportion for a 2 29 36 87 19 Solve for x 9 x 24 8 5x 16 39 O 49 O 53 O 48 20 Use properties of exponents to simplify and then write the answer in radical form 2 rty Oxy

Algebra

Complex numbers1 There are 48 socks in a drawer 24 pairs 2 pair s are silver 6 pairs are white and the rest are indigo If you took out a indigo sock and you didn t put it back what is the probability that you pull out another indigo sock If you enter your answer as a decimal round to the thousandths place x 2 Evaluate 5 5 9x8 5 O 84 O 77 O 80 82 3 Use Substitution to solve 1x 22 2y y x 2 3 y quation of a line passing through points 28 71

Algebra

Permutations and Combinations8 Use the following scenario and frequency table to answer the question The recreation center is curious to find out if patrons are enjoying the facilities They conduct a random survey and ask patrons if they have a membership or not and if they take any of their classes They then looked at the results Have a membership Do not have a membership Total Attend one or more Attend none of the classes offered classes offered 17 23 14 31 16 39 What kind of relationship does this table describe This table is an example of the principle of independence This table is not an example of the principle of independence O There is not enough information to answer this question Total 40 30 70 9 The slope of a line passing through 7 2 and 10 2 is what If the slope is undefined write undefined

Algebra

Quadratic equationsx y 2 0 x y 3y 4x 2 you wish 1 2 EXE Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is Simplify your answer Type an ordered pair Type exact answers using radicals as needed Use a comma to separate answer as need OB There is no solution