Quadratic equations Questions and Answers

The data in the table below show the median weight for various ages of a group of men 1 kg 2 2 lbs 60 65 70 75 Age years 20 25 30 35 40 45 50 55 Weight kg 69 76 77 79 81 82 82 5 82 5 81 5 81 79 78 answer a Which variable s could be used as the input of a function Explain your anst b What is the input with units Output with units Age is the Weight is the could serve as an input of a function since there is The domain is c What is the domain The range The range is vin from from in to to d If frepresents this function complete the following for the first pair of values output for each input

The expression 2 2 is equivalent to Answer O 2 3 O 312 O 21 12 O 2 2

9 1 7 16 34 0 2 4 g x 3 The domain of the function g x is the interval 1 2 O True O False X 3

Determine the domain and the range of the function whose graph is given Domain Range An 5

Which of the following tables represent functions Input Output 1 2 2 9 11 8 4 17 Input Output 1 2 3 4 8 12 8 14

The vertex of the quadratic function is 3 4 y x 3 4 True False

6 1 point Over what interval is the parabola below decreasing 1 x 3 x AFM3

What is the axis of symmetry of the quadratic function x 4 y 4 y 5 5 0 ent 5

The vertex of the quadratic function is 6 1 h x 3 x 6 1 True False Previous

po Find the x intercepts of the quadratic function f x x 5x 14 0 14 none 7 0 2 0 7 0 2 0 Previous

1 point The y intercept of the parabola is 0 1 6 5 T to 3 True False 5 65 Y 40

4 1 point What is the vertex of the quadratic function below 3 2 6 5 4 3 2 2 A 2 5 4 0 0 1 2 3

1 point What is the y intercept of the quadratic function f x x 3x 7 0 7 no y intercept 5 0 7 0

16 1 point There is a mistake in step 1 of the solving process below x 4x 17 1 x 4x 4 17 2 x 2 17 3 4 x2 17 x 2 17 True False

12 1 point Solve the equation 5 x 4 40 write your answer in exact form 3 6 2 O O x x a 4 2 2 x 4 4 2 20 2 10 Previous

5 1 point Solve the quadratic equation x 10x 3 Leave your answers in exact form 0000 x 5 3 x 5 2 7 10 2 7 x 5 7 3

13 1 point Solve the quadratic equation Give your answer s in exact form 2x 8x 5 0 O x 2 104 x 2 6 x frac 4 pm sqrt 26 2 x 4 4 26

14 1 point Solve the quadratic equation y 3y 1 y 3 13 y 3 13 2 Previous 3 7 2 y y 3 5 2

10 1 point Solve the equation 9 10r T 9 or T 10 r 5 14 or r 5 14 T 9 or r r 1 or r 1 00 r 9 9 Previous

1 point The length of a rectangle is 8cm greater than twice its width Find the dimensions if the area is 42cm 3cm x 11cm 21cm x 2cm 6cm x 7 cm 14cm x 3 cm

11 1 point Solve the equation 4y 7 19 write your answer in exact form 000 y 3 y 3 y 6 y 4

1 point The length of a rectangle is 8cm greater than its width Find the dimensions of the rectangle if its area is 105cm 5cm by 21cm 7cm by 15 cm 15cm by 23cm 8cm by 16cm

3 1 point Factor the quadratic expression completely 3x 15x 18 3 x 3 x 2 3 x 6 x 1 3 x 3 x 2 3x 9 x 2

Factor completely x 16 prime x 2 x 2 x 4 x 4 x 4 x 2 x 2

6 1 point Factor completely 49 7 x x x 7 prime 7 x 7 x

1 point Factor completely 3m 82 5 prime w 3x 5 3x 5 x 1 3 x 5 x 1

1 point Factor the quadratic expression completely 3x 15x 3x 5x 3x x 5 3 2 5 can not be factored

Movie genre Number of participants Comedy 21 245 Action 13 441 Horror 8093 Romance 4553 Thriller 3541 Animation 3180 Drama 2746 Mystery 2385 Fantasy 1951 Western 1518 of participants rounded 29 4 18 6 11 2 6 3 4 9 4 4 3 8 3 3 2 7 2 1 a Give the set of movie genres that were named by 3 to 4 of the participants Use roster form for your set 0 b Give the set of movie genres that were named by more than 8000 participants Use roster form for your set Comedy Romance Thriller Drama Action Western Mystery

1 1 point Is the expression below quadratic 5x 5c2 18 True False

7 1 point When solving this quadratic equation 5m 8m 1 you would get m 4 II True False

1 point Solve the quadratic equation x 6x 6x 13 Write your answer in exact form a 3 2 22 no solution x 3 22 a 6 4 22 2 2

6 1 point Factor completely 4y y 3 4y y 3 y 1 4y 3 000 prime 4 y 3 y 1

2 1 point Is the expression below quadratic 3x 5y 2 True False Previous

point et a 5a and find the values below 1 f 2a 10a 5 2 2f a 10a 5 3 f a 25a 10 4 f a 25a 10

A flower garden is shaped like a circle Its radius is 16 yd A ring shaped path goes around the garden The width of the path is 5 yd 5 yd 16 yd The gardener is going to cover the path with sand If one bag of sand can cover 6 yd how many bags of sand does the gardener need Note that sand comes only by the bag so the number of bags must be a whole number Use the value 3 14 for It bags of sand X

Solve for w 7w 9 21 Simplify your answer as much as possible W 8 V

1 Given the following equation y 2 Given the following graph identify key characteristics L 40 3 35 30 25 20 15 10 5 Domain Range f 8 f x 3x 6 F 4 3 x 4 6 14 6 Find f 4 P X 10 f x 3X 6 FL10 3 x 10 6 F 10 24 f 10 24 Distance Traveled from Home 2 2 5 Evaluate the function f x 4x 6 for f 10 f110 4x10 6 F 10 34 Shunt Shillariadt neb LabW

Use the following graph to answer questions 4 5 C Cost 30 25 20 15 40 54 n 0 Time h 4 What is the domain of the function a 5 What is the y intercept of the line What does it represent in this scenario Use the table to answer the following question 1 2 5 2 6 Bike Rental Rates 3 7 What is the 15th term 10 4 14 18 10 6 Write the recursive and explicit formula for the sequence 8 Alex is selling tickets to a school play An adult ticket costs 6 50 and a student ticket costs 4 00 Alex sells x adult tickets and 12 student tickets Write a function f x to represent how much money Alex collected from selling tickets 9 Find F 8 Explain what that represents in this problem

Evaluate the expression when x 2 and y 3 x 2y x 2y Simplify your answer

Simplify the following expression 5x 3 x 2 7x 1 5x 3 x 2 7x 1

Simplify the following expression 3 a 5b a 5b 4b 3 a 5b a 5b 4b

Combine like terms in the following expression 2ab 6a b 3ab 9a b 2ab 6a b 3ab 9a b Simplify your answer

9ac 6b 5ac 3a b 9ac 6b 5ac 3a b Use integers or fractions for any numbers in the expressi

Identify the x intercept s of the graph of h x 5 x 5 x 1 5 1 The graph is increasing to the and decreasing to the 3 0 of x of x

len s beta fish tank holds 4 gallons of water It takes him 1 minutes to fill it mat is the flow rate of the water in gallons per minute Show your work

Use the distributive property to remove the parentheses 20x 10 5 3 20x 10 3

Tell if the terms are like or unlike f 100 9f Are the terms like or unlike O Unlike

Identify the terms in the following algebraic expression 7x 5xy The terms in the expression are Use a comma to separate answers as needed

Evaluate the expression 3x 4 for x 4 When x 4 3x 4 Simplify your answer

Identify the graph of g x 2 x 1 2 3 Then identify the vertex and axis of symmetry 2 4 2 y YA A 2 4 x 2 x The vertex is 1 The axis of symmetry is 3 O O 2 4 2 4 2 2 y 6 10 2 4 x 2 x