Quadratic equations Questions and Answers

Plot the following ordered pair in the rectangular coordinate system Tell which quadrant the point lies in or state that the point lies on the x axis or y axis 3 1 Plot the point 3 1 In which quadrant or on what axis does point 3 1 lie OA Quadrant I OC x axis OE Quadrant III OB y axis D Quadrant IV OF Quadrant II LLE 10 8 40 AY

1 Suzette ran and biked for a total of 44 75 mi in 4 h Her average running speed was 6 5 mph and her average biking speed was 14 mph Let x total hours Suzette ran Let y total hours Suzette biked a In part b you will need to solve for x and y Write the system of equations you will need to solve this problem and explain in words what each piece of the equations represents 3 points Equation Explanation Equation Explanation b Use substitution to solve for x and y In order to receive points you must solve for x first Show ALL of your work 3 points How many hours did Suzette run How many hours did she bike

Solve and check 3 7m 9

Solve the equation 9x 8x 2x 5 10

The formula S P 0 60P gives the sale price S of an item whose original cost P dollars was reduced by 60 Find the sale price of a digital media player that originally cost 160 00 LEEB

10 8 46 14 zoom in 12 10 State the DOMAIN of the given relation O O 12 13 O X 5 6zy24 6 y 4 x 4 6 x 4 NONE OF THESE

3 Evaluate each function Round to the nearest hundredth if necessary 3 n 1 3 2 3n 1 5 0 7 Find 4 4 4 Each graph represents a relation Determine if the relation is a function 4 A The relation is a function min

9 Determine if the function given is ODD EVEN or NEITHER 7x f x O O EVEN NEITHER 5

Cool Down Fabric Sale At a fabric store fabrics are sold by the yard A dressmaker spent 36 35 on 4 25 yards of silk and cotton fabrics for a dress Silk is 16 90 per yard and cotton is 4 per yard Here is a system of equations that represent the constraints in the situation 1 What does the solution to the system represent x y 4 25 16 90x 4y 36 35 2 Find the solution to the system of equations Explain or show your reasoning

Evaluate each function 1 w n 2n 3 Find w 4 B 29 D 95 A 159 C S 2 2 f n n 3n Find f 6 B 88 D 18 A 54 C 40 Evaluate each function Round to the nearest hundredth if necessary TWO DIGITS

7 Determine if the function given is ODD EVEN or NEITHER f x O NEITHER march ODD EVEN 2 3

11 11 f x x 3x x 1 13 IN 44 13 x x 4x 3x F 13 Select Select Select rises falls neither V V to the to the le to the ri

Write the equation of the circle centered at 8 5 with diameter 16

x y 6x 16y 370 is the equation of a circle with center h k and radius for h and k and T

Right 3 Down 7 Right 3 Up7 Left 3 Up 7 Left 3 Down 7 Reflection Down 7 Up 7 Left 7 Right 7 V Instructions Reflection g x 5x g x 5x 7 g x 5x 7 g x 5X 7 Right 3 Down 7 Left 3 Up 7 Right 3 Up7 g x 5x 3 7 Left 3 Down 7 g x 5x 3 7 Down 7 Right 7

An aircraft flies 240 miles It had 3000 lbs of fuel on board at the start of the flight and 1080 lbs at the end of the flight What was the average rate of fuel consumption per mile

3 Find the center and radius of the circle Sketch the circle b 2x 2y 12x 8y 24 0 a x y 4x 6y 12 0 Son thundgs 2 2 4x 4 2 6y 9 12 9 4 43 4 x 2 y 3 25 e 2 3 r 25 n 5 Page 2 of 6

2 A company posted a list of annual salaries for certain positions within their company Level 1 53 employees 32 000 Level 2 34 employees 54 000 Level 3 12 employees 87 000 Level 4 3 employees 120 000 a Calculate the mean and median annual salary 32 54 b If this company reported their mean salary of all 102 employees to attract new applicants would this be misleading for the salary expectations

8 Function or not Domain Range I NOR YEIR YEIR

1 Describe how the graph of the function g x x 1 can be obtained from the basic graph Then graph the function Start with the graph of h x x Then Type an integer or a simplified fraction Choose the correct graph below O A 10 Ay 10 10 X 10 G Vit vertically by a factor of OB 10 40 Ay 10 10 A Q Finally shift it O C tot unit s 10 Ay 10 10 G O D tot 10 Ay 10 X 110

Function or not yes Domain 2 EIR JEIR Range

Determine the total amount and the interest paid on 1000 with interest compounded monthly for 5 years at a 2 b 4 c 8 d Is there a predictable outcome in either the amount or the interest when the rate is doubled a The total amount accumulated at 2 is Round to the nearest cent as needed

needs to 9 A college track and field athlete is preparing for clear a bar set at a height of 1 5 meters To do so she plans to use the Fosbury Flop technique which involves arching her body over the bar The athlete knows that her take off point is 1 meter away from the bar a Calculate the angle at which the athlete needs to launch herself to clear the bar using the Fosbury Flop technique TO Zo Im b 0 h t 1 5t htm t b h t 1 5 ttb 1 5 b Assuming she maintains a constant angular velocity during her jump find the equation that describes her height above the ground as a function of time h t during her jump tan 0 1 5 Ostan 15 O 56 310 0 0 e Im 11 5 1 5m tan 56 31 m M 1 5 c Sketch a graph of the athlete s height above the ground as a function of time for the duration of her jump and indicate the time it takes for her to clear the bar

O Second Fourth O Sixth O Eighth Question 10 Multiple Choice Worth 5 points 01 06 LC What is the impact of incorporation O The Supreme Court has included local court judges to help rule on certain cases O The Supreme Court has applied certain rights from the Bill of Rights to the state governments O The Supreme Court has requested that appeals lawyers combine similar cases into one review 5

A recent high school graduate received 800 in gifts of cash from friends and relatives In addition he received three scholarships in the amounts of 150 300 and 1500 If he takes all his gift and scholarship money and invests it in a 36 month CD paying 2 interest compounded daily how much will the graduate have when he cashes in the CD at the end of the 36 months

Drag the correct answer into each blank below Not all answer choices will be used Refer to the graph below H On the interval 2 x 1 the function is On the interval 4 x 3 the function is On the interval 2 x 4 there is a relative

6 5 8642 8 6 4 2 2 2 2 zoom in 5 Determine if the graph is a function 6 O yes no I need more information Determine the Domain Select and the Range Select relation of this F E

6 A car rental company charges a flat fee of 30 plus an additional 0 20 per mile driven a Write a linear equation that represents the total cost C in dollars for renting a Y mx b car with m miles C Cost CO 2x 30 m miles b If a customer rents a car and drives it for 150 miles what will be the total cost of the rental 16 50 400m Lb 40 02 150 30 30 60 c How many miles can a customer drive in a day to keep the daily cost of renting the car under 50 50730 0 2m 2070 2m 1007m

Polk Community College wants to construct a rectangular parking lot on land bordered on one side by a highway It has 280 ft of fencing that is to be used to fence off the other three sides What is the x value of the vertex

Determine the vertex of the parabola State if the vertex is a maximum or a minimum f x 2x 18x15 Use completing the square Use partial factoring 0

5m 8 8m

Simplify 4 4r 9 5

S Some tasks and the order in which they must be performed according to their assembly requirements are shown in the following table These are to be combined into workstations to create an assembly line The assembly line operates 11 hours per day The output requirement is 1 200 units per day TASK A B C D E F PRECEDING TASKS A A B B C TIME SECONDS 19 Workstation cycle time a What is the workstation cycle time Work Station 1 16 19 15 14 12 11 111 IV V VI TASK G H I 3 K L Task PRECEDING TASKS C D E F G H I J K seconds per unit b Balance the line using the longest task time rule based on the 1 200 unit forecast stating which tasks would be done in each workstation Leave no cells blank be certain to enter 0 wherever required TIME SECONDS 11 Idle Time 13 18 9 12 13

Which equations are correct Select each correct answer 5d 3d 4 15d5 20d 0 26 66 5 1265 106 O 3y 5y2 2 15y8 6y4 7x 4x 2 28x6 28x6 14x

Enter the coefficients in the boxes to correctly complete the expanded form of 2x 3y

Find the value of I given that p 200 r 0 12 and t 2 1 prt Simple Interest

Ayat s van traveled 90 miles on 6 5 gallons of gasoline At this rate how many gallons would be needed to travel 225 miles Ayat will need gallons Type an integer or a decimal

If 4 sweaters cost 48 48 how much would 8 sweaters cost The cost for 8 sweaters is

6 A survey of 120 twelfth graders finds that 36 were carrying more than 15 on the day of the survey What is the margin of error Round to the nearest whole percent Use the margin of error to complete the following An interval that will likely include the proportion of students in the population of twelfth graders who carry more than 15 is to

Which statement is true about interpretation of individual rights O The Supreme Court avoids prior cases when analyzing the Bill of Rights O Congress is the final authority on how to analyze and apply the Bill of Rights O Rights under the Constitution are a matter of ongoing legal and civic debate There is only one way to interpret each individual right in the Constitution

1 What is the appropriate choice for u when solving the equation 2 Choose the correct answer below O A OB u 2 OD U 2 X OC u X 1 2 1 5 3 0 X

equation that is quadratic in form is solved by a substitution u x 7 and it has solutions u the values of x that solve the original equation e values of x that solve the original equation are 3 and u 2 What

Scores on the SAT are normally distributed The mean SAT score in 2022 was a 1050 with a standard deviation of 150 What is the percentile score of a student who received a scaled score of 1050 A 95th percentile B 84th percentile C 68th percentile D 50th percentile

For the equation p 1 11 p 1 24 0 determine the appropriate substitution and write the equation in the form au bu c 0 The appropriate substitution is u The equation with substitution is

and simplify radicals Do not use decimals A Convert 2490 to radians B Convert to degrees 47 3 C Determine the exact value of tan 20 3 237 ust be given in exact form Redu

Find the equation of the quadratic function f whose graph is shown below 4 1 3 4 10 12 f x

asked on this document not on other notebook paper If you are asked to use a graph draw the graph accurately and clearly indicate the graphing window Explanations should be given in complete sentences 1 A business will be selling smartwatches for the upcoming year The current price of 600 yields 6000 smartwatches sold They estimate that for each 1 increase in price the number of smartwatches sold decreases by 12 Let x represent the price of a smartwatch A Determine a formula for the linear function relating the price x and quantity v of smartwatches sold Consider writing two points price quantity first B Write a simplified quadratic function representing the revenue C Algebraically determine the price x that maximizes revenue DO NOT find the y value of the vertex Include units with your answer

generate by selling x purses can be modeled by the function R x 3x 1920x and the total annual cost associated with producing these purses is given by C x 270x 143 000 A Determine a formula for the profit function and simplify your formula completely B Use the profit function to determine the number of purses x that should be sold to maximize profit Include units with your answer C Use the profit function to determine the maximum profit Include units with your answer

Multiple Choice For each question there is one correct answer Indicate your choice by circling the letter If no letter is circled credit may not be given even if your work is correct Determine the exact solutions to the equation x 8x 11 0 A x 4 5 B x 8 5 D x 8 3 3 E x 4 3 3 3 C x 4 6 3

6 5 4 3 2 S N 65 3 2 1 51 67 hut 1 2 3 42 Write an equation for the graph above f x est 16