Sequences & Series Questions and Answers

The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths Find the volume of the right rectangular prism in centimeters Figure not to scale 4 3 85 cm 67 cm 45 cm O 12cm S

Explain how you would plot the point 1 5 on a coordinate plane

You have arrived at Steinert its to see the music concert held every spring and unfortunatay Only seats were available in the last row There are 23 rows The stage which seats all per fofing s Is Positioned such that it is in line with the 5th row of seats in each section The stage is 20 feet from the first row seats The dexth of the seats are 17 inches and the height is 32 inches what is the approximate and OF depression from the last row to the stage as you listen to music

What is the sum of the series 6 5k 20 k 3 Enter your answer in the box

9 54 5

5 3x x 6

A supermarket finds that the number of boxes of a new cereal sold increases each week In the first week only 16 boxes of the cereal were sold In the next week 33 boxes of the cereal were sold and in the third week 50 boxes of the cereal were sold The number of boxes of cereal sold each week represents an arithmetic sequence What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n O a 17n 1 O a 17n 33 an 17n 1 O a 17n 33

Which answer is the explicit rule for the sequence 11 8 5 6 3 5 1 O an 13 1 5n O an 13 2 5n An 13 5 2 5n O a 13 5 2 5n

Which answer is the explicit rule for the sequence 2 9 16 23 30 an 2 7n O an 5 7n O an 5 7n O a 2 7n

1 Graph both functions to find the solution s to the system 2x 2 f x g x x 2x 3 4 tonify the relative minim 22 3 6543 21 2 66 4 3 2 1 2 44443 2345

interval 10 201 7 The function f x equals the number of feet above sea level a rock climber is at x minutes After 45 minutes the climber reaches his maximum height of 800ft above sea level He stays on the mountain for 2 hours What is the practical domain of f x

The graph shows the commission eamed for each week of employment Which statements are true Select each correct answer D The commission earned increased in the beginning of employment and after week 11 D About 110 in commission were initially earned A commission of 320 for a week was earned three times over the first 10 weeks The end behavior is the same on both sides of the graph The amount of the commission earned decreases between the fifth and eleventh week of employment Commission earned 400 380 360 340 320 300 280 260 240 220 200 180 160 140 120 100 80 60 40 20 0 13 5 6 7 8 9 10 11 12 13 14 15 16

Which number has the greatest ABSOLUTE value 2 1 4 5 02 0 1 S

The table shows how the time it takes a train to travel between two cities depends on its average speed Average Speed x mph 32 Time y hr 5 40 4 50 64 32 2 5 This rational function choose your answer hour choose your answer y 160 x 2 25 points y 6 4 x What does the numbe y x 160 y x 6 4 A models the time y in hours that it takes the train to travel between the two cities at an average speed of x miles p action that models the situation choose your answer

2 Two children are playing with a ball The girl throws the ball to the boy The ball travels in the air curves 3m to the right and falls 5m away from the girl as shown below If the plane that contains the trajectory of the ball is perpendicular to the ground find its equation 5m

Look at the graph 101 50 10 5 0 5 10 5 10 What is the equation of the horizontal asymptote

A triangle has sides with lengths 5 12 and 13 a Verify this is a Pythagorean triple show work or clearly explain b Approximate the acute angles in this triangle Round angles to the nearest tenth smallest angle

What value of 0 makes this equation true sin 30 cos 0 30 60 90 180

Simplify x 7x 30 823 6422 3 8 08 2 3 4 x 8 2 3 4 x 8 0 2 3 O 4 x 8 8x2 4x 40

Which expression is equivalent to the complex fraction 2 7 2 1 2 2 3 0 7 2x 1 7 3 2 3 2x 1 2 2 7 3 2x 1 2 7 2 2z 3

Name m the x y axis y tan L ymptotes y 4csc 2 T symptotes angat

7 Let f x 2tan x 3 and let g x 7 tan x 2 3 What are all values of x in the xy plane 0 x 27 for which f x g x For work shown either sketch a graph or use a unit circle to identify the intervals for the solutions Finally put your answer in interval notation

4 As the function goes the right as x goes to infinity the function goes to the function goes 2 4 2 0 2 4 2 up to infinity down to negative infinity

Evaluate the following exponential expression Round if needed to 2 decimal places 11 17 Type a response

Select the statement that can be represented by 10 dollars O Kyle found 10 on the sidewalk O Janet withdrew 10 from her checking account O Joe earned 10 mowing his neighbors yard O Sally deposited 10 into her savings account

Graph the line with the equation y 52 2 10

Simplify the rational expression into lowest terms A B 4 2 322 48 3 x 4 3 x 4 C 3 x 4 D 3 x 4

D 4 Perform the operation and write the result in standard form 27 29 28 21 19 8 19 81

DACK L USE YOUR MATH SKILLS TO FIND THE VALUE OF EACH ICON

solve problems involving quadratic functions including problems arising from real world applications 3M B 3 Mathematics Overall Expectation Problem Solving develop select apply compare and adapt a variety of problem solving strategies as they pose and solve problems and conduct investigations to help deepen their mathematical understanding 3M A 1 Mathematics Mathematical Process Expectation Reasoning and Proving develop and apply reasoning skills e g use of inductive reasoning deductive reasoning and counte examples construction of proofs to make mathematical conjectures assess conjectures and justify conclusions and plan and construct organized mathematical arguments 3M A 2 Mathematics Mathematical Process Expectation Connecting make connections among mathematical concepts and procedures and relate mathematical ideas to situations or phenomena drawn from other contexts e g other curriculum areas daily life current events art and culture sports 3M A 5 Mathematics Mathematical Process Expectation Repreconti

4 You roll a 6 sided die two times What is the probability of rolling a 1 and then rolling a 1 Write your answer as a percentage Independent or Dependent

Given the following exponential function identify whether the change represents growth or decay and determine the percentage rate of increase Hecrease y 420 1 04

7 During Hornet Culture Day a 4 foot tree was planted in 2003 If the tree has grown continuously by 22 each year since it was planted what would the height of the tree be this year

tione hy Graphing ction of the two lines y 3 4x 0 4 3x y or 4 12 3 2 10 2 3

5 Jake bought a new truck for 35 000 in 2024 Each year the value of his truck depreciates by 9 Write and use an exponential decay model to find the value of his truck at the end of his 72 month loan

91 and m MTF 82 find mLU ImMF F T L M U

O 6 5 4 3 2 1 6 5 4 3 2 1 1 2 2 3 4 5 6 4 5 6 Write the domain of the function using interval notat

3 y 4x 12 y 2x 4

18 1 point Mrs Cantrel s class wants to know if birds prefer seeds or bread They set up two bird feeders outside of school and count the number of birds that eat from each of the two bird feeders DO Is this an experiment or an observational study Experiment Observational Study

1 1 point What is the mean of this data set 38 52 54 48 40 32 50 11 22 44

3 1 point What is the median of this set of data 100 150 100 130 125 135 140 145 100 140 125 O 50 O130 Previous

4x 8x 1 Ox 3 4 Ox 1 Ox 3 Ox 6

snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of otein apiece Which inequality represents the possible ways Nina can eat 12 or more grams of protein if x is e number of cheese squares that she eats and y is the number of turkey slices that she eats O 12 x y O 122x y O 12 2x 3y O 12 2x 3y

8 What is the y intercept of the line with the equation y 4x 1 a 1 c 3 b 5 d 2

Write Name Date Period On multiple choice questions explain your choice using math drawings and or words Also explain choices on 4 Each question is worth 4 points 1 Explain why the domain of y sin x is 1 1

and 3 livestock cars A train is made up of 9 cars How many ways can the train be made up ways

Graph h x 2 sin 2x 3 Use 3 14 for T Use the sine tool to graph the function The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point Move 4 71 Sine 3 14 1 57 7 6 5 4 Undo 3 2 1 0 1 2 3 4 n x 1 57 Redo 3 14 x Reset 4 71 X

Which graph represents f x 2 cos 4x O 2 2 MM M 15 0 5 2 1 5 3 2 1 www 0 1 5 0 5 1 5 21

What is the factored form of a 121 a 11 a 11 a 11 a 11 a 121 a 1 O O O

Factor the polynomial 12x 9x 4x 3 A 3x 1 4x 3 B 3x 1 4x 3 C 4x 1 3x 3 D 4x 1 3x 3