Quadratic equations Questions and Answers

Find the vertical and horizontal asymptotes of f x 6 Remember to write the asymptotes as equations and do not type spaces in your answers Vertical asymptotes Horizontal asymptote POSSIBLE POINTS 1 and

S varies inversely as G If S is 3 when G is 0 4 find S when G is 2 a Write the variation Find S when G is 2 a How are these two variables related OA S KG B S kG C O D k S G S 2

Simplify and state any restrictions on the domain 3 15 54 az

Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit Over a fixed distance the speed R varies inversely with the time T In one particular pair of markings R is 44 mph when T is 5 seconds Find the speed of a car that travels the given distance in 4 seconds R mph Round to the nearest whole number

Graph the function f x Identify the domain the range the horizontal asymptote and the vertical asymptote Domain i Range i Horizontal Asymptote Vertical Asymptote i POSSIBLE POINTS

Simplify the radical Assume all variables are greater than or equ 250x13

Multiply and simplify the radicals Assume all variables are greater than or equal to 5 8a b74a b 32 7 3 2 2 2 2

Click here to watch the video Simplify the radical 19 19 49

Click here to watch the video Simplify the radicals Assume all variables are greater than zero 192n 12n 192n7

Simplify the radicals Assume all variables are greater than 3 16x 3 2x 1

2 Kuta Software EXTRA CREDIT SUM 3 Simplify each difference 1 8k 1 k 4k 8k 2 A 14k 10k 6 B 16k 10k 6 C 16k 5k 1 D 16k 5k 6 Simplify each sum 2 5 7x 8x 7 A 15x 2 C 13x 3 Simplify Your answer should contain only positive exponents 2x y 4 4 y x10 22 B B 13x 2 D 15x 2 D 4x11 All rights reserved 16x14

EXTRA CREDIT SUM 3 Divide 4 x 6x 15x 28 x 4 3 x 4 A x 2x 8 B x 2x 7 C x 2x 6 D x 2x 8 5 x 4 5 x 4 Find each product 5 3a 7a 1 a a 1 A 3a 10a 9a 6a 1 B 3a 7a 1 C 3a 4a 5a 8a 1 D 8 4 26 12g 24g 22

A family has a monthly income of 3019 Their monthly expenditures are as shown in the graph below Rent 22 Food 17 Transportation 13 Other Expenses 17 Savings 31 How much money does the family save in a month S

If the mean number of people who attended four basketball games is 4860 what was the total attendance at the four games

End Behavior As x co f x As x f x Y intercept Zeros and multiplicity Find one other ordered pair on the graph Sketch a graph of f x Choose an appropriate scale XA

1 1 4 X 3 5 10 2 3

Use synthetic division to find the function values f x x 16 find f 1 f 1 and f 1 10 f 1 Type an exact answer using radicals as needed f 1 Type an exact answer using radicals as needed f 1 10 Type an exact answer using radicals as needer

Question 10 of 14 Step 1 of 1 Find the linear function with the following properties Answer f x 12 17 Correct f 6 6 f 4 12

Use the COMPLETING THE SQUARE method to solve the equation After dividing both sides by 2 first what would you then add to both sides of the equation to complete the square 10 20 25 100 2x 20x 9

A picture has the dimension of 8 units by 4 units A frame of equal width surrounds the picture as shown in the diagram If the area of just the frame is 108 units what is the width of the frame 1 unit O2 units 2 5 units 3 units 8 units 4 units X

Which of the below is the completely factored form of the polynomial shown 2x 20x 48 2 x 6 x 4 x 4 x 16 x 4 x 24 2 x 2 x 12

The function defined by f x x4 5x3 48x 252x has the graph as shown Use the graph to factor the polynomial What is the factored form of the polynomial Simplify your answer Type your answer in factored form 10 1400 1400 10

Which of the below is a binomial factor of the polynomial shown w 8w 16 O w 2 O w 8 w 4 w 16

Factor f x 3x 5x 58x 40 into linear factors given that 4 is a zero of f x f x 3x 5x 58x 40 Factor completely

Order these values from smallest 1 to largest 5 63 2 6 I I 6 6 3

1 4 5 1 2x 3 x 7 1 2 3 3 x 7 5 x 8 4 1 2 Practice With Calculator 2 x 3 5 7 6 4 5 x 10 6 10 x 12

17 10 12 x 19 x 3 5 18 2x 3 5 20 1 X 2 4

10 1 2 4 8 4 12 6 2 7 8 6 14 10 2 4 10 80 Different Sign Negative answer 2 10 3 5 12 10 8 12 8 24 11 2 10 4 012 3 5 4 20 2 4 6 4 8 va 9 12 20 CO 12 2 8 8 9 10

1 If 3x 12 what is the value of x Partner Practice 2 If 3 x 10 what is the value of 2x 3 If 12 x 5 what is the value of x

Find the midpoint M of the line segment joining the points A 1 7 and B 7 7 M D

Find the midpoint M of the line segment joining the points S 7 4 and T 3 8 M CD

Calculate the distance between the points E 2 0 and C 4 8 in the coordinate plane Give an exact answer not a decimal approximation 10 17 ST 104 610 Distance 0

ind the domain of the function f and of its inverse function f for f x 6 sin x

Find the midpoint M of the line segment joining the points A 7 3 and B 1 1 M OD

Ex Simplif F 16 d

Ex Simplify a 24

1 Find the largest perfect square fact 8

2 49 0

3 3477 ded values for each 10 12 30035 Di 8 2 1 R S 4 3 10p 10 p 4p S 12 13 462 8 53 10 O D 10 AN 123 10 7 H m 17m 72 Sm 72m 12p 27 P 16p 63 12 COULD BE 1 or 2 EXCLUDED VALUES 20 C 16 7 9 5 5 o

x 16x 17 0 5 3x

5 n 4n 4 n n 2 A B C D 5n 1 5n 8 5 n 1 n 2 1 2 85 2 2 1 n 1 5n 8 5n 1 5 6 6 12k 24 12k 32 A B C D 3 K 2 3k 8 Sk 4 7k 9 k 10 k 5 k 5 k 10 8 3 0 2 1 7 5 10 7

1 Simplify each and state the excluded values v 6v 16 v v 2 1 9 A 9 4 V 4 6 1 B C D v 1 v 1 v 8 1 2 8 2 2 2 24a 8a 40a 48a A B C D 2a 7 3a 5 5a 6 3a 1 a 5 a 10 3a 1 Sa 6 0 11 10 5 0

Let log A 2 log B 8 and log C 5 Evaluate the following logarithms using logarithmic properties 1 log 2 log 3 log A5 B C 3 B A BAC Question Help Port A

5 n 4n 4 n n 2 A B C D 7 A B C 5n 1 5n 8 n 1 D n 2 n 2 7x 35 x x 20 x 2 n 1 5n 8 1 5n 1 5 x 7 7 8 5 2 x 4 x 1 2 1 7 1 4 5 0 9 10x x 7 x 2 2 1 6 8 6 12k 24 12k 32 A B 8 C D A B C 3 k 2 3k 8 D 5k 4 7k 9 k 10 10p 10 p 4p 5 k 5 k 5 k 10 P 5 4p 4p P 5 10 0 P 5 P 5 10 8 3 7 5 7 10 7 0 3 5 3 5 1 1

A small lake is stocked with a certain species of fish The fish population is modeled by the function 10 1 4e 0 6t P where P is the number of fish in thousands and t is measured in years since the lake was stocked a Find the fish population after 5 years Round your answer to the nearest whole fish fish b After how many years will the fish population reach 5000 fish Round your answer to two decimal places vr

A graphing calculator is recommended Use a graphing device to find all solutions of the equation rounded to two decimal places Enter your answers as a comma separated lis log x x 1 X

Clint is making a 10 lb bag of trail mix for his upcoming backpacking trip The chocolates cost 4 00 per pound and mixed nuts cost 7 00 per pound Clint has a budget of 6 10 per pound of trail mix Use the variables c and n to represent the number of pounds of chocolate and the number of pounds of nuts he should use respectively Determine a system of equations that describes the situation Enter the equations below separated by a comma How many pounds of chocolate should Clint purchase C pounds How many pounds of mixed nuts should Clint purchase pounds

Unit 3 Please answer all parts of the question Math 3 7 1 Key Features of Radical Functions e Consider the function f x 2 x 3 4 1 Record all of the transformations of f x from the parent function g x A a x n K h Q71 Stretch 02a21 Compress Zaz 2 k left or Right or down up Determine the domain and range moves right 3 up 4 f x has Reflection across stretches 2 look at the desmos look at beginning 3 4 table lues

A local theater sold 200 tickets to a matinee play with a total revenue of 2 104 00 Each adult ticket cost 15 00 and each child s ticket cost 8 00 Use the variables a and c to represent the number of adult tickets sold and the numbe of children s tickets sold respectively Determine a system of equations that describes the situation Enter the equations below separated by a comma How many adult tickets were sold a tickets How many children s tickets were sold tickets

Part 2 Solve by factoring 3 2x 9x 5 0