Algebra Questions

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

Determine if the upper bound theorem identifies 4 as an upper bound for the real zeros of f x f x 8x 8x 3x 9 Select one a No h Yes

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

8 A construction manager is planning to build a ramp for wheelchair access to a building entrance The ramp will be in the shape of a right angled triangle The height of the building entrance from the ground is 5 feet and the desired slope of the ramp should not exceed a 1 12 ratio i e for every 1 unit of vertical rise there should be 12 units of horizontal run a Calculate the length of the ramp the hypotenuse of the right angled triangle that meets the 1 12 slope requirement C 4 4 5A 60 60 52 C 60 2 Ft b If the construction manager has limited space and can only build the ramp to a maximum length of 15 feet determine the maximum allowable height for the building entrance while still meeting the 1 12 slope requirement 15 60 2 60 2 15 5 X 1 25 F X 6 X 60 2 15

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

Suppose you saw a sign at your local bank that said 4 2 rate compounded quarterly 4 9 Annual Percentage Yield APY Is there anything wrong with the sign Explain

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

The Vances house is worth 320 000 and their yearly property tax is 8 88 for every 1 000 of value How much will they pay in yearly property tax

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

Select a symbol from the dropdown menu that correctly indicates the relationship between the first and second quantity W The number of relative minimum points The number of intervals where the function is increasing he number of relative maximum points POSSIBLE POINTS 2 The number of intervals where the function is decreasing

3 Look at the data and 1 identify the independent and dependent variables 2 determine if it can be expressed as a function and if it is a function 3 is it linear or nonlinear a b C Time t 0 Position s 3 Time t 5 Position s 7 Hour Calories 5 Force Pressure 2 1200 100 200 4 1 7 6 12 6 1000 500 10 807 2 4 7 800 750 15 34 8 6 8 600 800 16 4 6 9 2 8 20 400 1000 2500 be a function of F Can F be a function of P 50

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

64 zoom in X 7 Determine the DOMAIN of the given function Ox 4 O O O O O X 4 X 4 y 0 X 0 All Real numbers x 4

12 13 f x H Find f 4 Type a response f x Find f 9 1 5x6 if x 4 1 2x 7 1 5x6 1 2x 7 if 4 x 3 44 if x 3 if x 4 if 4 x 3 if x 3

3 4 Evaluate the function g n 23 1 Find g 1 Type a response Evaluate the function Round your answer to the nearest hundredth TWO DIGITS p x 1 4 x 4 4 Find p 4 8 Type a response

co Determine if the following function is ODD EVEN or NEITHER f x x 3x O ODD EVEN NEITHER

2 Evaluate the function g n 3 2n Find g 8 60 06 O 24 48 48

1 Evaluate the function g x 2x 6x Find g 6 O36 O 108 20 56 180

4 Find the outputs from the inputs of the given functions report the solution as f input output a f x 4x 3 x 2 3 10 4 2 3 1 4 3 3 15 4 10 3 43 b g x 4x 8x 4 x 1 2 3 461 8 1 4 4 8 4 4 2 218 2 4 Blattl 56 2 4 3 8 8 4 16 x 5 c h x 4x x 3 6 5 7 5 4 3 3 27 3 5 4 6 3 6 5 4 6 3 Undefined 5 5 d T t 34t 32 t 2 5 10 3412 32 104 34 572 32 818 34 1072 32 33668 e V s 6s 4s s 7 s 4 2 5 6 4 4 4 2 4 6 2 4 2 2 7 59 331 f L x 12x 5x 3 x 1 0 1 round up to 2 decimal places 12 1 2 5 1 3 4 47 Via 0 25 0 13 g Graph part f into desmos About what domain does the graph NOT EXIST

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

Suppose you have been given the following set of data representing the test scores of 10 college algebra students 78 92 85 67 88 94 72 90 79 81 a Calculate the mean of the test scores of the students 753820 18 92 85 67 88 94 42 90 79 81 b Calculate the median of the test scores of the students 67 72 78 79 81 85 88 90 92 94 85 81 83 82 6 c Suppose the lowest score 67 was an outlier due to an error in grading Calculate the revised mean and median for the data set after removing the outlier How do these values change and what does this indicate about the impact of outliers

K 7 A ladder is leaning against a vertical wall The ladder is 15 feet long and the angle between the ladder and the ground is 60 degrees Find the height at which the ladder touches the wall SRCATO Sin le X

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

Select the ordered pair that is a solution to the equation represented by the graph 2 8 4 6 A y 2 2 01 2 4 6 8 X

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

A carnival purchases 2300 stuffed animals to give away as prizes If the total cost to buy the stuffed animals is 7452 find the cost per stuffed animal The cost per stuffed animal is Simplify your answer

The Guitar Shoppe bought 7 sets of bongo drums and 8 guitars for 2977 90 The guitars cost 292 apiece Find the cost for a set of bongo drums A set of bongo drums costs

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

A formula is given along with the values of all but one of the variables in the formula Find the value of the variable that is not give 1 P T 2 1 1020 R 0 17 RT P Simplify your answer

In the following exercise a formula is given along with the values of all but one of the variables in the formula Find the value of the variable that is not given S 2LW 2WH 2LH S 148 L 6 W 5 H

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

Which expression is equal to x 3 2x 2x 5 O 2x 4x 11x 15 O 2x 3x 8 O 2x 8x x 15 O 2x 2x 15

Which polynomial represents the area of the rectangle O 2z 10 O 2x x 10 O 2x x 10 02 IT 10 2x 5 x 2

Which expression is equal to 3z 5 2z 7 O 6z 31z 35 O 6z 31z 12 O 62 31z 35 O 5z 21z 12

Which equations are correct Select each correct answer 6a5 6a5 36a 5 3z7 42 122 664 364 1868

An athlete can swim 500 meters in a nearby lake in 9 4 minutes At this same rate estimate the amount of time it will take her to swim one mile 1609 meters It will take the athlete approximately minutes to swim one mile Round to the nearest tenth as needed

Tom makes 244 25 in 5 days How much does he make in 2 days Tom makes in 2

On a map 3 inches represent 125 miles If two cities are 4 5 inches apart on the map how far are they actually apart The distance between the cities is miles Round to the nearest mile as needed

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