Algebra Questions

A dress regularly sells for 67 The sale price is 52 Find the percent decrease of the sale price from the regular price 22 4 346 7 28 8 O 77 6

Find the percent increase in daycare spending from 1996 to 1997 Round to the nearest percent Spending millions of dollars 300 100 219 199 200 178 Fooooo 1995 1996 1997 Year 0 0 09 11 Subsidized Daycare Spending 1995 1999 9 10 263 240 1999 1998

Jeans with an original price of 58 are on sale at 15 off What is the sale price of the jeans 66 70 57 13 49 30 8 70

Express 540 as a decimal 0 54 5 4 5 41 54

Listen Suppose that the luxury sales tax rate in a foreign country is 19 A very wealthy socialite bought a diamond tiara for 168 000 How much tax does she pay 31 920 3192 319 n

Express the fraction as a percentage 25 31 3 2 5 80

Exit Ticket 10 16 1 At a school 40 of the students play a sport If there are 80 athletes at the school how many students are there in the school A 32 B 200 C 320 D 3200

The box and whisker plot for the average amount of time rounded to the near est minute a group of students spend watching television after they return home from school is shown Time minutes Watching Television 60 80 A 28 70 90 100 What is the IQR of the data set represented by the box and whisker plot

2 On a bookshelf there are 12 cookbooks That is 15 of the books on the shelf How many books are on the shelf A 2 B C 80 D 180

100 90 80 70 60 50 40 30 20 10 Grade 9 ELA Midterm Grade Report Blology Algebra 1 U S History Art What is the difference between Gabrielle s greatest score and least score

One factor of f x x 12x 47x 60 is x 5 What are the zeros of the function 05 4 3 O5 4 3 O 5 4 3 O 5 4 3

Given f x x 1 x 2 x 3 what are the zeros and end behavior of the function O1 2 3 continues downward to the left and upward to the right O 1 2 3 continues downward to the left and upward to the right O 1 2 3 continues upward to the left and downward to the right O1 2 3 continues upward to the left and downward to the right

What are the zeros of the function f x x 4x 5 5 ti O 2 i O 5 ti O 52 1

The graph of f x is shown 5 O 4 0 2 O 2 0 4 For what values of x does f x 0 O 5 0 17 15 0 17 0 5 10 0

What are the zeros of f x x 5 x 4 x 2 O 5 4 2 05 4 2 O 5 4 2

Determine whether the function shown in the graph is even or odd 2 0 2 2 O The function is even because it is symmetric with respect to the y axis O The function is odd because it is symmetric with respect to the y axis The function is even because it is symmetric with respect to the origin The function is odd because it is symmetric with respect to the origin

Without using technology describe the end behavior of f x 3x4 8x 22x 43 O Down on the left down on the right Down on the left up on the right O Up on the left down on the right O up on the left up on the right

The volume of a rectangular prism is represented by the function x 11x 20x 32 The width of the box is x 1 while the height is x 8 Find the expression representing the length of the box Ox 6 Ox 4 Ox 4 OFFE

Determine whether the function f x 4x is even or odd O The function is even because f x f x O The function is odd because f x f x O The function is even because f x f x O The function is odd because f x f x

Let f x 8x 28x 61 and g x 2x 5 Find O4x2 10x 34 O4x 10x 34 O4x210x 11 O4x 10x 11 116 2x 5 2x 5 116 2x 5 6 6 2x 5 f x g x

Use synthetic division to evaluate 3x 6x 3 x 1 3x 9 O3x 3x 3x 3 3x 6

Divide 2x 17x 35 by x 5 Ox 7 O 2x 7 Ox 27 O 2x 27 G

Divide 36x 96x 48x by 12x 3x 8x 4 O 3x 8x 4 O 3x 8x 4 O 3x 8x 4

How many complex roots does the polynomial equation have 5x 4x 1 0 02 03 4

What is the complete factorization of the polynomial function over the set of complex numbers f x x 4x 4x 16 Enter your answer in the box

Which answer best describes the complex zeros of the polynomial function f x x x 10x 10 The function has one real zero and two nonreal zeros The graph of the function intersects the x axis at exactly two locations The function has one real zero and two nonreal zeros The graph of the function intersects the x axis at exactly one location The function has two real zeros and one nonreal zero The graph of the function intersects the x axis at exactly one location O The function has three real zeros The graph of the function intersects the x axis at exactly three locations

How many complex roots does the equation 0 2x 4x x 1 have 02 O 3 04

Name 1 Data collected during an experiment are shown in the accompanying graph Percent Maximum Activity of Trypsin 100 75 50 25 y 0 X 1 2 3 4 5 6 7 8 9 10 pH What is the range of this set of data A 2 5 y 9 5 C 0 y 100 B 2 5 x 9 5 D 1 x 10 2 The acc certain D along a Elevation ft 1600 1500 1400 1300 1200 1100 1000 900 What is A 1 0 C 0

Factor f x into linear factors given that k is a zero of f x f x 4x 13x 50x 75 k 5 f x Factor completely

Triangle ABC has sides measuring AB 7m BC 5m and AC 9m What is the width of the largest rectangle that can be inscribed in it with the longer side of the rectangle along the 9 m side a 2 521 m b 1 934 m c 3 156 m d 3 712 m

mpare 8 Please choose one option to complete this activity Sketchpad SKETCHPAD Question 5 7 Compare 8 22 T 3 2 34 PENCIL N M A THIN OR 8 78 3 and 8 7 File Upload 3 2 4 3 34 2 3 to determine which one is GREATER BLACK B 3

3 15 20 Position velocity and acceleration Suppose the position of an object moving horizontally along a line after t seconds is given by the following functions s f t where s is measured in feet with s 0 corresponding to positions right of the origin 1 a Graph the position function b Find and graph the velocity function When is the object stationary moving to the right and moving to the left c Determine the velocity and acceleration of the object at t 1 d Determine the acceleration of the object when its velocity is zero e On what intervals is the speed increasing 15 f t 12 4t 0 t 5 16 f 1 1 4t 3 0 t 5 17 f t 212 9t 12 0 t 3 18 f t 18t 31 0 t 8 19 f t 21 211 601 0 t 6 20 f t 61 3612 54t 0 t 4 21 A dropped stone on Earth The height in feet of a stone dropped from a bridge 64 feet above a river at t 0 seconds is given by s 1 1612 64 Find the velocity of the stone and its speed when it hits the water H I 22 A dropped stone on Mars A stone is dropped off the edge of a 54 ft cliff on Mars where the acceleration due to gravity is about 12 ft s The height in feet of the stone above the ground I seconds after it is dropped is s 1 ity of the stone and its speed when it hits the ground 61 54 Find the veloc 23 Throwing a stone Suppose a stone is thrown vertically upward from the edge of a cliff on Forth

Practice 1 Given the equation n 81 321 solve for n n 81 321 n 1 Given equation Add from both sides Simplify 2 Sol LE

Air temperature decreases as altitude increases If the ground temperature is 72 F then the air temperature x miles high is T 72 19x a Determine the altitudes x where the temperature T is between 2 F and 32 F b Use an absolute value inequality to describe these altitudes a Determine the altitudes x where the air temperature T is between 2 F and 32 F inclusive 19 x 19 Type an integer or a simplified fraction

The hypotenuse of a right triangle is 6 5 cm longer than one leg and 12 2 cm longer than the other leg Let x represent the length of the hypotenuse Pak2Q1 1 Draw and label all information given in a right triangle form format below 2 Use the Pythagorean Theorem to create a quadratic equation in standard form format that can be solved for x then using the information given and DESMOS solve below 3 From DESMOS just use one of your x solutions Xints roots zeros just one to prove that your x from DESMOS is the solution round Xints to the tenth position close is okay 4 Using DESMOS as your guide draw out your QE Label your Xaxis Yaxis scale to scale Label the Xints and the Yint on the Cartesian Plane provided above

The supply and demand for a product are given by 2p q 40 and pq 100 15q respectively Find the market equilibrium point q p

Suppose that a ball is thrown from the top of a 88 foot building The function h t 16t 72t 88 models the height in feet h of the ball t seconds after it is thrown a Find the zero s of the function You may use fractions or decimals Use a comma to separate values if necessary The zero s of the function b If we assume that ground level means h The ball hits the ground after c Find the time s the ball will be 144 feet above ground You may use fractions or decimals Use a comma to separate values if necessary The ball is 144 feet above ground after d The ball will be at its highest point after t 2 25 seconds Find the height of the ball at that time The height of the ball after 2 25 seconds is 0 when does the ball hit the ground Select an answer Select an answer Select an answer

Consider the function f x 4x 49 a Determine the zeros of the function Writing values as simplified fractions if necessary If there are multiple values separate the solutions with a comma If there are no values input DNE b Determine the x intercept s of the graph of the function Write ordered pairs writing any values as simplified fractions if necessary If there are multiple x intercepts separate them with a comma If there are no x intercepts input DNE c Determine the y intercept s of the graph of the function Write ordered pairs writing any values as simplified fractions if necessary If there are multiple y intercepts separate them with a comma If there are no y intercepts input DNE

Consider the function f x 4x 5x 1 a Find when f x 5 f x 5 when Writing any values as simplified fractions if necessary If there are multiple values separate them with a comma If there are no values input DNE b Use the information from part a to find two points that lie on the graph of f x The two points are Write ordered pairs writing any values as simplified fractions if necessary If there are multiple points separate them with a comma If there are no points input DNE

Exercise 9 4 5 Let X n be a finite set and V a vector space Define the function Set X V R by f x f x Prove that this function is linear L f

Solve the equation writing solutions as simplified fractions if necessary If there are multiple solutions separate the solutions with a comma If there are no solutions input DNE 7y 4 0 Solution y

For the following polynomial function use the remainder theorem to find f k f x 2x 3x 3 k 3

Divide 2x4 13x 16x 9x 20 X 5 2x4 13x 16x 9x 20 X 5

p Find s given that 1 3 lies on the line with equation y sx

6 LO 4 3 2 1 10 1 2 3 4 5 6 7 8 2014 9 10 11 12 13 14 15 16

Notice that the curve given by the parametric equations x 81 t y t 1t is symetric about the x axis If t gives us the point x y then t will give x y At which x value is the tangent to this curve horizontal At x At which t value is the tangent to this curve vertical Att The curve makes a loop which lies along the x axis What is the total area inside the loop Area Graph the curve on a calculator Turn in a sketch of the curve

when x 2 and y 3 2x 12y

3 Calculate the requested measures in parts a through f for bonds A and B assume that each bond pays interest semiannually Coupon Yield to maturity Maturity years Par Price Bond A Bond B 9 8 8 8 2 5 1000 00 1000 00 1000 00 1004 055 a What is the price value of a basis point for bonds A and B b Compute the Macaulay durations for the two bonds c Compute the modified duration for the two bonds d Compute the approximate duration for bonds A and B using the shortcut formula by changing yields by 20 basis points and compare your answers with those calculated in part c e Compute the convexity measure for both bonds A and B f Compute the approximate convexity measure for bonds A and B using the shortcut formula by changing yields by 20 basis points and compare your answers to the convexity measure calculated in part e

The polynomial function f has exactly one positive zero Approximate the zero correct to two decimal places 3 f x 2x 16x 5x 8x 3 The positive zero of f is approximately Round to two decimal places as needed

Find bounds on the real zeros of the polynomial function f x x 3x 4 The lower bound is and the upper bound is IC