Algebra Questions

Add 7r t Reduce your answer to lowest term 7r t

What is the effect on the graph of the parent function f z z when f z is replaced with f z Shifts line 3 units up Shifts line 3 units down Increases the slope of the line by a factor of 1 3 O Decreases the slope of the line by a factor of 1 3

Draw the complete shearing force diagram for the cantilever beam shown below 4m 4 kN m 2 m

Figure 4 21 suggests one way to prove that 2ab a b a b 2 ab E A C Figure 4 21 Prove these inequalities assuming that AC a and CBR h B

all potential rational zeros x 5 7x 28 Which of the following choices lists all the potential O A 11 12 4 7 14 28 OB 1 2 4 OC 7 14 28 OD 0 11 12 4 7 14 28

Use the graphs of f and g to describe the transformation from the graph off to the graph g f x 1 x 5 g x f x 3 The graph of g is a translation unit s of the graph of f

wwwww Use the graphs of f and to describe the transformation from the graph of f to the graph of r f x x 2 r x f x 1 The graph of r is a H TH WH H 1 of the graph of f by a factor of T K vertical shrink vertical stretch horizonta

1 Let b1 B matrix B is A and b 2 The set B is a basis for R Suppose that T R2 R2 is a linear transformation whose B 21 Find the matrix A of T relative to the standard basis for R2

Solve the following polynomial equation given 5 is a zero of f x x 9x 23x 15 T 9x 23x 15 0 The solution set is

d Look at the results of parts a through c and the statement of the LCT Should 1 you compare the series n 1 7 n with n 17 2 n 2 or with n 1 Explain your choice after considering which term dominates the denominator for large values of n 8 1 2 Does the series n 1 7 n converge Use the LCT and your knowledge of p series to justify your conclusion

y 3 8 x 5 x 3 9 8 7 6 5 4 3 2 Y 9 8 7 6 5 4 34 2 1 A 2 3 4 5 6 7 8 9 6 x 1 2 3 4 5 6 7 8 9

Alain throws a stone off a bridge into a river below The stone s height in meters above the water a seconds after Alain threw it is modeled by h x 5x 10x 15 What is the height of the stone at the time it is thrown meters

For the polynomial function f x 6 x 1 x 3 answer the following questions a List each real zero and its multiplicity b Determine whether the graph crosses or touches the x axis at each x intercept c Determine the maximum number of turning points on the graph d Determine the end behavior that is find the power function that the graph of f resembles for large values of x HH SIVULLUIS SI Type integers or fractions OC The smallest zero of fis zero of f is with multiplicity Type integers or fractions D There are no real zeros puny myuvILVIV SITE with multiplicity The middle zero of f is www pmny with multiplicity b Select the correct choice below and if necessary fill in the answer box es to complete your choice OA The graph crosses the x axis at Type an integer or a simplified fraction Use a comma to separate answers as needed The largest OB The graph touches the x axis at Type an integer or a simplified fraction Use a comma to separate answers as needed and crosses at OC The graph touches the x axis at Type integers or simplified fractions Use a comma to separate answers as needed The graph neither crosses nor touches the x axis

The graph of below is complete since it displays all roots the end behavior and the y intercept of the graph of f Use the graph of f to answer the following questions Note all and y intercepts are integer values 3 2 5 4 27 1 1 2 5 6 1 2 List all roots with even multiplicity If more than one such root exists use a comma separated list to optor the roots

4 Admission 5 00 Apples 0 75 per lb a Which equation represents the cost in dollars of going to the festival and picking a pounds of apples O y 5x 0 75 The cost of going to the festival is the sum of the cost of picking pounds of apples b Graph the equation you chose in part a Line 15 Undo Redo x Resel y 0 75x 5 and the cost of admission 5

Solve 4x 5y 13 for y

2 1 pretended to know what I was talking about but it was a 3 Good dogs are lovable loyal and 4 If you are 5 To help us remember the formulas my math teacher uses songs that repeat them over and over again but his methods of do not work for me 6 If you are 7 I have a people will call you a suck up 8 Don t believe the you may get sent to the office for hot Cheetos I eat them every day it s all fiest Act One Vocab 1 Predilection n An already existing liking preference 2 Parochial adj Narrow limited 3 Ingratiating adj Having a quality that brings oneself into favor sucking up or brown nosing 4 Dissembling n Pretense act 5 Subservient adj Submissive obedient 6 Calumny n False accusations slander

h z 3r 18r 12z 72 Use the Leading Coefficient Test to determine the end behavior of the graph of h Determine the roots of h and the multiplicity of each root Also describe the behavior of the graph at each root If a third root does not exist enter DNE when appropriate According to the Leading Coeffiecient Test the graph of h O falls to the left and rises to the right O rises to the left and falls to the right O falls the left and falls to the right O rises to the left and rises to the right Determine the roots of h Enter solutions using a comma separated list The multiplicity of the least root I The multiplicity of the greatest root The multiplicity of the other root I is 11 is is

Write an equation of the form y acos b x c with the given amplitude period and phase shift Amplitude Period Phase shift R13 35 1 15 The equation of the form y acos b x c is Tyne an exact answer using as needed Tyne an equation

Use a system of equations to find the partial fraction decomposition of the rational expression Solve the system using matrices 4x 3x 3 x 1 x 1 A BM A x 1 B x 1 C x 1

2 At Mumford High School the robotics team is holding a bake sale to help raise money for materials to build a new robot They use 35 of the money to pay back their members for the cost of baking the food and the rest of the money is kept by the team to build the robot If they sell 500 in baked goods how much money will the team keep to build the robot A 35 B 65 C 175 D 325

Consider the following function g x 1125 z 6 6 Determine the IT intercepts of g and the multiplicity of each intercept Also describe the behavior of the graph at each Z intercept The multiplicity of the least root z The multiplicity of the greatest root I The multiplicity of the other root I At the least root I At the greatest root I At the other root I 1 1 is J J is is the graph of g Select an answer the graph of g Select an answer the graph of g Select an answer

Consider the following function f x 15 z 14 x 12 Determine the zeros of f and the multiplicity of each zero Also describe the behavior of the graph at each zero The multiplicity of the lesser root x The multiplicity of the greater root At the lesser root a At the greater root is is the graph of f Select an answer the graph of f Select an answer

Let r be a root or zero of a polynomial f If r is a zero of even multiplicity then the graph of f Select an answer other hand if r is a zero of odd multiplicity then the graph of f Select an answer I T at I r On th vat

Four of the following terms are interpreted as precisely the same graphical feature Select all four Oz intercept Multiplicity Root Oy intercept Relative minimum Solution to f x 0 Zero Relative maximum Reflection Increasing Decreasing

3 A shortstop makes an error on 5 of the plays that he attempts to make If one season he attempts 500 plays how many plays will he make successfully A 25 B 75 C 425 D 475

4 At a school all 250 students have to either take gym art or music 120 students take music 60 take gym and the rest take art What percentage of the students take art A 25 B 28 C 60 D 70

Exit Ticket 10 15 1 A teacher gives a survey after taking a field trip 40 of the students on the field trip report that they loved the museum If there are 500 people who went on the trip how many loved the museum A 20 B 200 C 2000 D 20000

Aundre 1 For a business project Uma must solve the system of linear equations shown below Equation M 3a y 6 Equation N 2y 23 Select a number or ordered pair for each blank to make each sentence true If Uma wishes to eliminate the y variable she should multiply Equation M by CHOICE to Equation N This elimination method will produce the solution CHOICE 2 which is a original system 3 2 2 3 Choice 1 Choice 2 13 5 5 9 5 9 13 5 Use the information below for the following questions Sheldon is buying new shirts to take with him to college He has a total of 240 to only at Baker s Clothing store which sells casual shirts for 15 each and dress shi This question refers to Sheldon s Shirts 9 Let c represent the number of casual shirts and dropresent the number of drass shirts Baker s Clothing

8 Maya spent 40 of her savings to buy a video game that costs 60 How much money is left in her account

7 A bag of candy contains red and blue candy 40 of the candy is red If there are 20 pieces of red candy in the bag how many pieces of blue candy are in the bag

5 Jack took a test in his English class He got 24 questions right and 16 questions wrong What is his percentage grade on the test

3 In a bag there are 8 green marbles 12 blue marbles and 5 red marbles What percentage of the marbles in the bag is red or green

6 Kate earns 1600 per week She puts 25 in her bank account and spends the rest How much spending money does Kate have each week

2 Tracy s soccer team scored 80 goals this year Tracy scored 30 of those goals How many goals did Tracy score

4 In a parking lot with 250 spaces 40 are full right now How many spots are empty

1 Curtis is on time for class 80 of the time In the first week of school Curtis has 24 classes How many times was he late to class

2 A basketball team spends 25 of its practice time doing strength and conditioning 30 of its time running drills and the rest scrimmaging If they spend 300 minutes practicing one week how much time will be spent scrimmaging

1 In a class of 25 students 5 students got an A on a test 8 got a B on a test 7 got a C and the rest failed What percentage of the class earned a score of A B or C on the test

15 Brad is a wrestler trying to make weight He currently weighs 184 pounds If he cuts 2 pounds per week how many weeks will it take him to weigh no more than 165 pounds Write an inequality to represent this situation use w for the number of weeks Type a response 16 The cheerleaders are selling tickets to the spaghetti dinner They need to raise at least 900 The tickets cost 5 each Write an inequality to represent how many tickets they need to sell to meet their goal use t for the number of tickets sold Tyne a response

3 If you ve been using your phone for 120 minutes and it currently has 75 of its battery left how many more minutes would you expect your phone to last

10 Translate the verbal phrase into an inequality use x as your variable Don t solve The quotient of x and 5 is greater than 2 Type a response U 11 Translate the verbal phrase into an inequality use x as your variable Don t solve The sum of 4x and 7 is less than or equal to 11 Type a response

7 Simplify Give your answer in radical form 2 125

Which function displays this end behavior As x approaches negative infinity y approaches negative infinity As x approaches positive infinity y approaches negative infinity O A y 5 B y 2r 1 y 3x 4 D y 2x 7 O c

12 Multiply Give your answer in radical form 3 24 30

2x y4 2 What is the expression in simplified radical form 343 3 Simplify 27x 1y33

5 Simplify 3 48 6 108 6 Multiply Give your answer in radical form 11 2 13 7 Simplify Give your answer in radical form 2 125

Simplify 9 56x7y 2 Assume x and y are nonnegative 12 O 18x y6 14x O 2x y6 14x O 18x y6 14

Multiply 3 7 17 Enter your answer in radical form in the box Basic 7 Y DO 1

Simplify O 1 01