Algebra Questions

Show What You which graph is red by the function 2 3 2 2y 2 6 V SH 12 31 12 2 14

11 a 11a 30 13 v 2v 80 15 6x 12x 378 17 3n 9n 54 19 4r 36r 56 21 6a 24a 360 12 x 9x 20 14 x 4x 5 16 6x 24x 30 18 3p 36p 60 20 4a 28a 24 22 2a 6a 36 PERIC

10 Solve the equation and check your solution 4x 2 x 30 Type a response

check your answer x x 3 2x Type a response 1

2x x 3 0

check your solution 3x 4 x 10

check your answer 3x 4 4x 3 Tyne a response

210x 3x 32 x 0

check your answer 4x 2 x 1

9 2n 10n 132 0 11 a 10a 21 0 13 6m 42 4m 15 x 15 5x formula 10 3x 5 0 12 4v 2v 2 14 6v 22 16 6r 30 3r

Factor each completely 1 8 x 5x 16x 10 1x 8x 5x 8x 5x 1x 2 x Sx 3 x 15x x 3 51 36342167 56 38 7 21a 49a 9a 21 9 7 8r 28r 32 12 30v 12v 25v 10 60 su 20 S Su 2 60 SXsu 2 4 28x 12x 47x 3 4x 7x 3 1 7x 3 4x 7x 3 6 fox 35x 48x 42 8 2k BY 2 8 16K 7k 56 10 49x 35x 21x 15

3 6 Using Quadratic Formula and Discriminant Homework AIC Find the discriminant of each quadratic equation then state the number and types of solutie 1 4x 8x 4 0 2 7x 5x 10 0 3 6x 7x 5 0 5 5n 6 8n 7 2x X 4 3m 6m 3 0 6 9p 1 6p PERK 8 4r 8r 6

NAME Factor each completely 21 5r x 6 23 3x 5x 12 25 66 29b 9 27 3b 8b 4 29 10x 23x 6 22 7x 19x 6 2x 21x12x 6 7x 1x 3 2x 2 24 10x 9x 9 G 10 67 157 2x 5x 3 Ext 26 9k 62k 7 dk 126 4klk 14 L 28 2x 7x 9 2x2 0 x 2x 30 4n 11n Cynz g 4 NCC

Review Factoring 1 Notes Homework SSE Factor the common factor out of each expression 1 7p 3p 6p 9p 3 18 18x 81x 18x 5 21x 14x Factor each completely 7 k 12k 35 9 x 7x 6 11 5x 35x 30 2 40x 50 45x 15x 5 8x 10 39 4 15m 10m SM 3M 2 6 9n 81n 9n 45n 41 4 1 9n 1 sps 8 n 3n 28 10 x 15x 50 15 x x 10 12 2x 20x 18 2 x x 4 2 x 4 x 1

Name Algebra 1 Review Factoring GCF a 1 GCF then a 1 Factor the common factor out of each expression 1 90x 63x 3 7k 21k 5 2v 14v Factor each completely 7 n 11n 30 9 v 10v 9 2 81x6 90x4 36x 63x 4 100v5 40v 80v 90v 6 24n5 30n 24n 6n 8 x x 72 10 r 90

NAME AND SURNAME Al E 1 The set G 1 3 5 7 is a group with the operation zoy defined as the last decimal digit of the number 9x 9y zy 2 i Compute 505 0 505 ii Find the neutral element of o iii Find the inverse element 1 2 Let X be the set of all integers between 300 and 996 including 300 and 996 themselves that do not contain the digit 8 i How many elements does X have ii How many elements of X have three odd digits iii How many elements of X have three different digits 3 There are 12 blocks in a bag They have the following letters on them A A ADD GGGOOOO We choose 4 blocks from the bag and as we know there are 12 495 ways of doing that ie 495 four element subsets In how many of those 495 sets are there enough blocks to form the word DAD enough blocks to form the word DOG In this problem please write the actual numbers eg 24 rather than 2 3 4 questions for extra points Is the set G with the operation o described in Problem 1 above a group

The permuterm index for the term Free is Select one O A Free ree F e Fr Free O B ee Fr e Fre Free O C Free ree F ee Fr Free O D ee Fr Free ee F

An inverted index maps what to what Select one O O O O A individual terms to individual postings B individual terms to lists of postings C lists of terms to individual postings D lists of terms to lists of postings

ometors 02 1 1 Want lenghts 2 F PO 0 2 mete R 5 meters a b c d

3 1 A tension test was performed on a steel specimen having an original diameter of 0 503 in and gage length of 2 00 in The data is listed in the table Plot the stress strain diagram and determine approximately the modulus of elasticity the yield stress the ultimate stress and the fracture stress Use a scale of 1 in 20 ksi and 1 in 0 05 in in Redraw the elastic region using the same stress scale but a strain scale of 1 in 0 001 in in Load kip Elongation in 0 0 1 50 0 0005 4 60 0 0015 8 00 0 0025 11 00 0 0035 11 80 0 0050 11 80 12 00 16 60 20 00 21 50 19 50 18 50 0 0080 0 0200 0 0400 0 1000 0 2800 0 4000 0 4600

Use the graph of f x log2x to graph the function f x log2 x 1 2 Use the graphing tool to graph the function Click to enlarge graph Ay

Determine the open intervals on which the function is increasing decreasing or constant Enter your answers using interv notation If an answer does not exist enter DNE f x x 2x Encreasing decreasing constant 2 1 y 6 6 2 1 2 3 4 X

Divide x 8xy 20 x 8xy 15y Simplify your answer as much as possible 0 2 x 2y 4x 20y 5 X

2 Ms Pereira is planning a field trip for her class She mapped out the path as follows in Determine how far the park P is from the school S Include re worked diagrams for full marks out of 31 Cos FACTA 15 km P Q Sino y 40 km 18 km R 12 km S T 4 LR Aria SUS SPOONS

Lauren is going to a carnival that has games and rides Each game costs 2 and each ride costs 4 75 Lauren spent 50 altogether at the carnival and the number of rides she went on is 2 more than the number of games she played Write a system of equations that could be used to determine the number of games Lauren played and the number of rides Lauren went on Define the variables that you use to write the system

7 The path that a football takes can be described by the equation h in meters of the football at time t in seconds a Graph the function b What does the y intercept represent c What does the x intercept represent 16t 1024 can be used 8 The equation h t to determine h the height of a ball dropped from a level of 1024 feet for any time t measured in seconds How long will it take the ball to hit the ground a 8 seconds c 64 seconds b 8 seconds d 1024 seconds 10 The graph of quadratic function g is shown on the grid to the right The coordinates of the x intercepts the y intercept and the vertex are integers What is the maximum value of g Range d How high is the football after 3 seconds e After how many seconds will the ball be at least 20 meters high f About what time does the football hit the ground g Domain a 40 mph c 60 mph 10 y 35 5 30 5 25 10 20 15 10 9 The equation below represents d the stopping distance in feet of a car and s the speed of the care in miles per hour 5 What is the speed of the car if the stopping distance is 120 feet 25t 0 10 5t where his the height d 0 05s s b 50mph d 70 mph 5 5 10 X

89 Cost of College In 2005 the average annual tuition and fees for attending a private college or university was 21 000 This cost rose to about 32 000 in 2015 as illustrated in the figure Source Cerulli Associates y Cost dollars 35 000 30 000 25 000 20 000 15 000 10 000 5000 a 2015 32 00 Q 2005 21 000 04 2005 2010 2015 2020 Year X Find the slope intercept form of the line passing through 2005 21 000 and 2015 32 000 Interpret the slope b Use the equation to estimate the cost of attending a private college in 2013

Water in a Tank The graph shows the amount of water in a 100 gallon tank after x minutes have elapsed Water gallons 100 90 80 50 40 30 20 10 01234 5 6 7 8 9 10 Time minutes a Is water entering or leaving the tank How much water is in the tank after 3 minutes b Find both the x and y intercepts Interpret each intercept c Find the slope intercept form of the equation of the line Interpret the slope d Use the graph to estimate the x coordinate of the point x 50 that lies on the line

92 Cost of Driving The cost of driving a car includes both fixed costs and mileage costs Assume that insurance and car payments cost 350 per month and gasoline oil and routine maintenance cost 0 29 per mile a Find a linear function f that gives the annual cost of driving this car x miles b What does the y intercept on the graph of f represent

kercises 83 86 The table lists data that are exactly linear a Find the slope intercept form of the line that passes through these data points b Predict y when x 2 7 and 6 3 Decide if these calculations involve interpolation or extrapolation 83 X y 3 7 7 2 6 2 1 4 7 0 3 2 1 1 7

Question Click and drag like terms onto each other to simplify fully 6y 2x 2x 7y 6x 2y 7 7 6y 4x 7y 6x 2y

Write the reduced radical form of the following expression 1024r y12azy dz b

Write the reduced radical form of the following expression 6 6 2 a 6 b

1 The parent function for each function below is y x Graph each function below on a separate piece of paper take a picture and upload Do not use a graphing utility use transformations a y x 2 b y x 1 c y 3 x 1 4

Listen A high school band trip will require renting buses and trucks to transport no fewer than 150 students and 20 or more large instruments Each bus can accommodate 60 students plus 3 large instruments it costs 347 to rent Each truck can accommodate 15 students plus 7 large instruments and costs 195 to rent How many of each type of vehicle should be rented for the cost to be minimized Determine the minimum cost none of these 4 buses and 0 trucks 1388 O buses and 10 trucks 1950 1 buses and 4 trucks 1127 2 buses and 2 trucks 1084 Question 14 Bonus 0 33 points Listen An ice cream store sells two new flavors Fantasy and Excess Each barrel of Fantasy requires 6 pounds of nuts and 4 pounds of chocolate and has a profit of 540 Each

In many classes a passing test grade is 70 Using the formula A 10 R what raw score R would a student need to get a passing grade after her score is adjusted The student would need a raw score of Check The voltage V of an audio system s speaker can be represented by V 4 P where P is the power in watts of the speaker An engineer wants to design a speaker with 400 watts of power What will the voltage be The voltage would be volts

3 Let f x 2x x 3 and g x x 1 a g x b f g x c fog x 4 Let g x 2x and h x x 4 a hog 2 b goh 2

Please show ALL necessary work or no credit will be given 1 Find the inverse of the relation 1 0 2 1 3 0 4 2 2 Show steps to find the inverse of the function Is the inverse a function Give a reason for your answe a f x 3x 1 H h g x 1 2 x 5

Simplify 16y8 O 4y O 4y O 4iy O 8 Check Simplify mn2 O 4m 2n m Om n m

Simplify the radical expression X20 32 Select one O a x y O b x y O c x 6 28 O d x y

The index is Check Va When there is more than one real root an n is even the nonnegative root is called the

0 00252d227 The optimal height h of the letters of a message printed on pavement is given by the formula h Here d is the distance of the drive from the etters and e is the height of the driver s eye above the pavement All of the distances are in meters Find h if d 50 m and e 1 2 m Round to the nearest mete The optimal height for the given values is meters

Find all the real cube roots of 64 Write none if there are no real roots Answer Check Find all the real cube roots of 27 216 Write none if there are no real roots Answer Check

A radical expression is simplified when the radicand contains no Check Simplify and no radicals appear in the

Convert to exponential form then simplify What is under the radical in the numerator of the answer Answer Check Simplify 64 3 647 3 Answer Check

An expression with rational exponents is in simplest form when all of the following conditions are met It has negative exponents It has not exponents that are not positive It is not a The index of any remaining radical is the Check fraction Simplify 36 2 in the denominator number possible

3 3 3 3 3 3 Answer Check Write in radical form x 5 Select one a O b O c O d x 5 x 5 x 1 x

2 2 3 18 A 0 C 9 2 B 11 2 D 10 2 4 2 54 3 3 2 3 A 6 6 6 3 B 6 6 8 3 C 6 6 5 3 D 6 6 7 3

2 20 2 2 3 18 A 0 G 9 2 C B 11 2 D 10V 2

9 9 12 8 12 7 22 12 6 A 52 3 7 22 12 6 B 34 3 7 22 12 6 C 52 3 D 52 3 12 6 ware LLC A II 10 10 2 17 4 17 11 12 5 A 6 17 II 12 5 B II 12 5 C 2 17 11 12 5 D II 24 5 rights reser ve d Made with In finite A Igebra 2