Quadratic equations Questions and Answers

4 6x 5y 20 4321 654 3 5 41 3 2 2 S ch X

4 6x 5y 20 654 3 2 1 61 51 4 3 2 ON S 4 5t 2 w X

7 x y 3 654321 Ay 29 2 x

2 3x 5y 5

9 x y 3 6 S 4 3 2 1 5 S

Which of the following could be the number of real roots including any repeated roots of a cubic polynomial with real coefficients Select all possible answers 6

Which of the following could be the number of real roots including any repeated roots of a degree 5 polynomial with real coefficients Select all possible answers 0 1 3 6

Triangle P Q R is a dilation of triangle PQR using center Cand scale factor 1 5 1 Q in 3 9 3 1 1 Is triangle P Q R larger or smaller than triangle PQR Explain how you know 2 What is the length of segment P Q Explain how you know

Find the scale factor from FG to F G Image 1 F Image 2 F F Image 3 Image 4 F 12 12 12 12 18 G G G G G Image 5 12 24 G

024 48 CI 669749 1 2 9 Which statement could be used to explain why f x 2x 3 has an inverse relation that is a function O The graph of f x passes the vertical line test O f x is a one to one function O The graph of the inverse of f x passes the horizontal line test Of x is not a function

x 3 2 t Graph the line that represe 1 y 2 2 x 3 3 2

7 3a 12 2a 4 1 6a 24 8 4a

4 x 5x 6 x 4 x 3x 2 x 2x 3

5 x x 2x 1 3x x 1

3 x 4 x 1 x 1 x 2x

3 6x 6y y x 14 18 5x 5y

y 5y 6 y 3y 10 y 4y

1 1 point The transformation shown is a translation True False

2x 12 6 2x 3x 9 3x 8

2 1 point If point x y is rotated 180 degrees about the origin the resulting point is x y True False

The triangle has been reflected over the line Find x y and z 3z x 1 y 11 Z 4 15 X 1 y 8 2y 4 18 12 not enough information to determine x 2 y 8 Z 4 9x 6

8 1 point If point x y is reflected over the line y x the resulting point is y x True False

x 45 10 Explain why it does not matter which point you choose when writing the equation of the line in point slope form given two points

Write the equation in point slope form of the line that passes through the given point with the given slope 4 2 1 m 3 6 4 11 m 2 5 3 5 m 2

Houghton Mifflin Harcourt Publishing Company 1 Which statement correctly identifies the end behavior of the graph 2 10 8 6 10 8 6 8 X As x approaches co y approaches o and as x approaches 00 y approaches 0 As x approaches y approaches 0 and as x approaches o y approaches 0 As x approaches 0 y approaches and as x approaches 00 y approaches o As x approaches y approaches o and as x approaches o y approaches o 437 A translation 8 units up translation left 8 units translation right 8 units translation 8 units down The function f x x is transformed to obtain the graph of the related function g x x 8 Which of these correctly describes the transformation to g x 3 The graph of function f x is shown 8 5 20 X B 10 8 6144 10 3 5 81 6 4 6 8 10 Which statement correctly describes the domain and range of the function xx E R f x f x 7 xx E R f x f x 7 x x 7 f x f x R D x x 7 f x f x R 4 6 8 10 8 6 4 The function f x x is transformed to obtain the graph of the related function g x using a vertical stretch by a factor of 9 Graph the function g x 10 8 6 4 20 2 43 x 6 8 10 What transformation occur here Make a table with original fix values and X new X g x valves

10 5 10 1 0 5 10 5 What is the excluded value for this function X 10

10 5 5 0 5 10 S X 10 What is the equation of the horizontal asymptote

Which of the following would be a solution to the inequality x 1 5 04 05

4 1 point What is the range of this data set 18 20 22 11 19 18 18 12 10 18 11 Previous

14 1 point Identify a potential source of bias if any DA Using random digit dialing 1599 people were called and asked what obstacles such as childcare kept them from exercising Source Yankelovich Partners Inc for Shape Up America No source of bias Maybe they don t have children Not asking enough people Using the word obstacles

13 1 point What is the population of the following scenario Mrs Doe wants to determine if Coca Cola really fills its cans with 12 ounces of Coca Cola She randomly selects 100 cans of Coca Cola and measures the number of ounces in each can She finds the average of the 100 cans of Coca Cola to be 12 01 ounces 12 01 ounces in a can of Coca Cola 100 cans of Coca Cola All cans of Coca Cola 12 ounces in a can of Coca Cola Next

4 1 point What is the IQR of the set of the data below 95 92 96 93 94 95 93 2 94 5 4 Previous

2 1 point John has earned a 77 76 and 84 on his first three projects of the semester If he hopes to have an B quiz average 80 or above what is the lowest score John can make on his fourth and final project 90 0000 He cannot earn a B project average 86 83

1 m 4 Y Y through the point 0 4 2 m Y Y Y Y M

Factor Completely 42 6x 16x 24 O z 2i z 21 2x 3 0 2 z 2i z 21 2x 3 0 2 z 2i z 2i 2x 3 0 2 z 4 2z 3

Factor Completely 31 75 O 3 x 5 x 5 03 x 5 x 5 03 x 5 5 03 2 25

Which expression does NOT have a Greatest Common Factor O 6x 222 5x O 3x 12 6 042 9 O 2 18

Factor Completely 6x 18 60 06 x 2 x 5 O 6x x 2 x 5 06 x 2 x 5 O x 2 x 5

Question 3 4 Ov NEXT y 3x 4x 3 y 2x 10 Match the system of equations below with the correct solution y 2x 4x 3 y x 10 y 2x 4 y 2x 4x 4 y x 2 2x 4 y 2x 8 y x x 12 y x 8x 16 BOOKMARK DRAG DROP THE ANSWER X No solutions Infinitely Many Solutions 1 9 3 5 13 5 4 0 Q 4 4 12 1 2 TUT

The following data were collected about a student s study time and the grades on their test 1 7 3 2 2 1 3 3 0 5 2 75 1 1 83 95 80 91 60 87 75 Hours Grade 2 3 85 4 25 93 B Quadratic 2 78 Does this data follow a linear or quadratic or exponential model A Linear

02 06 MC Show all work to solve 3x2 5x 2 0

Show all work to solve 3x 5x 2 0

A Include one expression that contains rational exponents that can be simplified further Provide the simplified form to your instru B Include one expression that contains radicals that can be simplified further Provide the simplified form to your instructor Question 2 Rewrite in simplest radical form 5 Question 3 Which of the following expressions are equivalent Justify your reasoning A B C X 10 XX 1 3 3 D XXX 1 1 3 2 Show each step of your process

Using the technology of your choice exchange the expressions you created for Question 1 do not provide the simplified form and your work for Questions 2 and 3 with a partner Discuss your findings A Simplify your partner s expressions for Question 1 B Review and critique your partner s work on Question 2 C Review and critique your partner s work on Question 3

2x 4x t In the equation above t is a constant If the equation has no real solutions which of the following could be the value of t A 3 B 1 C 1 D 3