Sequences & Series Questions and Answers

1 Select all of the fractions that when converted result in a repeating decimal D O 0 7 6 9 9 3 Add Write in simplest form No calculator 1 0 75 1 0 45 8718 L 0 Subtotal 129 50 Tip 23 27 Subtotal 98 40 6 9 0 3 0 Tip 17 71 Subtotal 142 17 Predicted Actual 5 Subtract Write in simplest form I 9716 11 2 L 20 6 75 10 25 Due 2 Add Write in simplest form 5 3 1 7 For parties of 6 or more people at a certain restaurant a tip of 18 is automatically included on the bill Select yes or no to indicate whether or not each of the following tip amounts is correct for an 18 gratuity on each subtotal Yes No 4 Subtract Write in simplest form 2 45 3 9 6 Julia wants to purchase a pair of headphones that are on sale for 42 79 The sales tax rate in her county is 6 Calculate the amount of sales tax Julia will pay on the purchase Round to the nearest cent if necessary Tip 22 75 8 The table shows the predicted and actual amount of snow for a local city What is the percent of error for the amount of snowfall Round to the nearest tenth of a percent if necessary Similar to Percent of Change Snowfall inches

4k If e 8 what is e k

Let f x 2ln x x 1 find f x

Graph the function Based on the graph state the domain and the range and find any intercepts x 2 if x 2 x 2 if x 2 f x e e Q Q The domain is 0 00 Type your answer in interval notation Q

The graph of an exponential function is given Select the function for each graph from the given options 1 x y 4 1 y 4 y 4 y 1 4 y 4 y 4 y 4 1 Drag each function given above into the area below the appropriate graph depending on which function is represented by which graph 35 Q36 Q37 Q 39 Ox Q 40 y 0 y Q y 4 41 17 Q 38 42 y

Use the graphs to write the formula for the function 18 8 2 a f x b g x 110 9 f x 6 8 10 X 18 8 Click on a graph to enlarge it 5 2 4 g x 2 8 18

Given a function h x x 1 102001 sau longo HOY 20offerti gaivallot A Write an equation of the line that represents the linear approximation to h x at x 1 1201 B Use the equation you found in part A to estimate h 1 1 C Calculate the percent error in above approximation D Approximate the change in h x when x changes from 3 to 3 1

Listen Write an equation for the nth term of the arithmetic sequence 9 6 3 0 Then find a 50 An equation is an Ard 0

2 5 3 45

Advanced Polynomial Multiplication Find each product 1 5x 2 3 A 25x 20x 4 C 25x 4 3 2n 5 2n 5 A 9n 64 C 4n 20n 25 5 0 6n 2 2 0 6n 2 2 A 0 25n 47 61 B 0 36n 2 64n 4 84 C 0 36n 4 84 D 0 25n 6 9n 47 61 B 25x 2 4 D 5x 4 B 36n 4 D 4n 25 2 2 7n 1 7n 1 6 A 64 96n 36n B 49n 14n 1 C 64 36n D 49n 1 44 3 6a 1 8 A 3 6a 3 24 B 12 96a 3 24 C 12 96a 12 96a 3 24 D 12 96a 3 24 6 0 8n 0 3 A 0 64n 0 09 B 0 64n 0 48n 0 09 C 20 25n 70 2n 60 84 D 0 64n 0 09

2022 Kuta Software LLC All rights reserved Multiply Polynomials Find each product 1 2n 2 n 3 A 2n 6 B 2n 4n 6 C 14n 24 D 14n 62n 24 3 7x 8 2x 3 A 6x 31x 30 B 14x 24 C 14x 5x 24 D 14x 37x 24 5 8x 4 6x x 4 A 21x 38x 41x 6 B 7x 14x 4x 3 C 20x 34x 26x 4 D 48x 32x 28x 16 7 2k 8 6k 5k 8 A 12k 38k 24k 64 B 12k 34k 30k 8 C 10k 44k 12k 16 D 25k 48 34k 9 7b b 4 3b 4b 1 A 21b4 25b b 17b 4 B 21b 4b 4 C 16b4 20b 34b 8b 5 D 1264326 76 36b 15 2 4 6 8 10 2 2n 5 8n 2 A 16n 36n 10 B 28n 45n 18 C 28n 3n 18 D 28 18 4 n 4 2n 7 A 2n n 28 B 2n 28 C 2n 15n 28 D 2n 15n 28 6 8k 7 4k 2k 2 A 42k 78k 60k 24 B 16k 34k k 35 C k 11k 23k 3 D 32k 12k 30k 14 8 8b 3 8b 5b 8 8 A 6b 5b 24b 7 B 216 34b 2b 8 C 86 33b 3b 4 D 64b 64b 49b 24 10 7b 6b 7 6b 8b 5 A 16b4 54b 92b 54b 40 B 1664 18b 40 C 4264 92b 125b 86b 35 D 1664 42b 56b 6b 40

3 Use the sum of the first ten terms to approximate the sum of the series n 2 16 Hint Use trigonometric substitution Round your answers to three decimal places sum X error n 2 1 Estimate the error by taking the average of the upper and lower bounds given by Theorer

Question 2 sec 0 5 where is in Quadrant III G Use the given information about to find the exact value of tan 2

Simplify each expression 1 6k 7k 3 n 10 9n 3 5 r 10r 7 11r 12r TIS 2 12r 8 12 4 4x 10x 6 2x 11 6x 8 v 12v Date

Find f x and g x such that h x fog x h x 4x 4 5 Choose the correct pair of functions O A f x x g x X 4 4 O B f x x5 g x 4x 4 O c f x 4x 4 g x x5 O D f x 4 g x x

Determine whether B is the inverse of A A 13 12 14 13 Yes O No B 13 12 14 13 Is B the multiplicative inverse of A

11a Write an expression and combine like terms the sum of twice x and 5 times y is added to the difference of 5x and 4y 11b Evaluate your expression for x 2 and y 4

11a Write an expression and combine like terms the sum of twice x and 5 times v is added to the difference of 5x and 4y

4 Simplify by combining like terms 3x 4x 10 2x 5x 2

3 Combine like terms x y 5x 5y

Write in point slope form an equation of the line that passes through the point 5 8 with slope 2 0 0 0

Suppose that the selling price p of an item for the quantity x sold is given by the demand function P 0 8x 16 a Express the revenue R as a function of x R x p b How many items must be sold to maximize the revenue c What is the maximum revenue that can be obtained from this model d Sketch a graph of R Determine whether the following function is even odd or neither x 1 f x

Let f x be defined by the piece wise function 1 x 2 3 x f x x 0 x 0 x 0 a Graph f b Describe the domain and range of f

1 In each part determine whether the set G a G 2 4 6 8 in Z10 b G Q x y x y 3 c G Q 0 x Y x y xy xy 3

Consider the following figure Round your answers to one decimal place 8 1 in a Find the area of the figure in2 8 1 in b Find the perimeter of the figure

10 If a taxi charges a pickup fee of 3 50 and 50 per mile write an expression for the cost of traveling m miles 3 50mt 0 50m

10 Explain how the graph of the function f x can be obtained from the graph of y Then graph f and give the a doma and b range Determine the largest open intervals of the domain over which the function is c increasing or d decreasing To obtain the graph of f 1 shrink or stretch 2 vertically or horizontally 3 y axis or x axis 1 31 the graph of y by a factor of and reflect it across the

h x h x x 5x 25x 65x 84 8 6 pts Graph the polynomial g x Make sure to clearly indicate end behavior intercepts and behavior at intercepts g x 3x x 4 x 3 x 5

9 2 6 2 24 11 12 3 3 10 2 6 3 12 3 3

5 10 7 12 7 7 10 11 11 11 6 3 17 4 17 8 2 3 3 27

Find an expression for the perimeter of the figure 1 4 Z 2 Z 2 2 z 1 N Z Scanned with CamScanner

Form the negation of the statement Saturday does not come after Friday Choose the correct answer below OA Saturday comes after Friday OB Friday does come after Saturday OC It is not true that Saturday comes after Friday D Sometimes Saturday does not come after Friday

Next question Let s represent the following statement s One races fast Express the statement One does not race fast symbolically The statement is expressed symbolically as

ork 3 1 Question 7 3 1 17 Form the negation of the statement Friday does not come before Saturday Choose the correct answer below HW O Next question O A Friday comes before Saturday B It is not true that Friday comes before Saturday OC Saturday does come before Friday OD Sometimes Friday does not come before Saturday

9 If g x 8x and f x log 2x then f g x 1 4log x 1 3 2 3log x 1 2 3 log x 2 4 6log x 4

The diagram shows a platform The platform has supports that are fixed to both a wall and the ground Q1 Calculate the angle 0 Platform 1 1 29 27 0 6 2 2 A 0 B Ground level

4 If four less than the product of 4 and x is added to the difference of x and 5 what is the value if x 2 a 3 b 1 c 7 d 12

2 What is the value of 2x 4y if x 2 and y 3 a 16 b 8 c 8 d 16

ms 1 Write an expression for the sum of 3x and 6 then evaluate if x 4

Evaluate the expression 1331 2 3 Select the correct choice below and fill in any answer boxes in your c O A 2 3 1331 Simplify your answer

Rewrite 1 2 3 27 with positive exponents and completely simplify if possible Select the correct choice below and fill in any answer boxes in your choice O A 1 27 2 3 B The solution is not a real number Simplify your answer Type an integer or a fraction

8 92x 92x 59x 42x 40x 18x 42x 98x A 73x 59x 60x 190x 42x B 132x 59x 60x 190x 42x C 99x 59x 60x 190x 42x D 160x 59x 60x 190x 42x 9 88 p 41 p 64p 18p 84p 48 p 51p 83p A 136p 106p 103p 40p B 136p 106p 13p 40p C 125p 101p 13p 40p D 125p 106p 13p 40p

10 23 73 11 8r 42r 36r 51 15r A 44 77 88 74 B 44r 31 88r 74 C 10r 77r 88r 74 447 33 88 74 11 x 5x 2x 2x 8x A 3x510x 6x B 3x10x x C 5x 10x x D 3x10x 2x 12 12 7v 4 8v 2v A 154 4 B 22v 4 4 C 15v 3 4 D 22v 3 4

This set of points is on the graph of a function 3 9 1 1 0 0 2 4 Which points are on the graph of the inverse Select each correct answer 4 2 0 0 O 1 1 O 9 3

6 5 pts Use synthetic division to divide g x by x 3 and then w g x d x f x r x g x 10x 14x 13 2x g x

Let p and q represent the following statements p It is Tuesday q I am working Write the compound statement p q in words Choose the correct answer below Next question OA If it is Tuesday then I am working OB If it is Tuesday then I am not working OC I am working if and only if it is not Tuesday OD It is not Tuesday if and only if I am not working www

Let p and q represent the following statements p One does one s best q Red and yellow make purple Express the following statement symbolically One does not do one s best Symbolically the statement is www

Simplify each expression 3 4 3a 7a 7 8a A 5a 17 B 5a 7a 17 C 5a 7a 12 D 5a 7a 11 5 3v 7v4 6v v4 8v A 6v4 3v 6v B 6v49v 6v C 6v49v 10v D 6v 5v 6v 4 6 4 8a a 5a 3a 7a 11a 2a 19a 3a A 5a B 5a C 5a4 11a 3a D a 11a 2a 6 4x 7x 3x 7x 6x A 10x 13x 4x B x 13x 4x C x 16x 4x D 3x 13x 4x 7 30 145 22 41r 77 26 75r 70r4 A 1855 100r4 73r 41r 33 B 895 100r4 73 41 33 C 895 100r4 26 41r 55 D 895 100r4 73r 41 55

Evaluate each expression with an exact answer in radians and sketch the angle on he unit circle in standard position 3 1 2 a cos b sin NS NS c tan 1 2 3 d sec 2 3

5 A student is in the process of solving an equation The original equation and the first step are shown below Original 3a 6 2 5a 7 Step one 3a 6 2 7 5a Which property did the student use for the first step Explain why this property is correct