Algebra Questions

9 x2 6 X 2 OA 7 2 2 OB O C 4 3 2 IN 2 2 OD 2

Give the domain and range of the relation 3 8 2 8 7 5 5 0 OA The domain is 7 2 3 5 The range is 8 5 0 8 OB The domain is 8 7 5 2 The range is 3 5 8 OC The domain is 3 5 8 The range is 8 7 5 2 OD The domain is 8 5 0 8 The range is 7 2 3 57

Solve the equation 2x 15 x 6 OA OB 7 OC 7 3 OD 3

Juan and Patti decide to see who could read the most books in a month They began to keep track after Patti had already read 5 books that month This graph shows the number of books Patti read for the next 10 days Number of Books Read Books 5 O 10 15 20 25 20 15 10 s 1 2 3 4 5 6 7 8 9 10 Day If Juan hasn t read any books before the fourth day of the month and he reads at the same rate as Patti how many books will he have read by day 12

Which is the only relationship below that could NOT be modeled by a linear function Hours Worked Pay Hours Worked Pay 3 36 Hours Worked Pay 5 50 Hours Worked 0 Pay 450 1 20 4 48 6 60 1 450 2 30 5 60 7 72 3 450 3 40 6 72 8 86 12 450 4 50 8 96 9 102 30 450 5 60 www

Solve the equation using the quadratic formula 3x 10x 2 OA OB O C O D 5 31 3 5 19 6 5 19 3 10 19 3

A company wants to know how much to sell there hotdogs for at a minor league baseball game They have determined the price of the hotdog determines reasonably well how many hot dogs they will sell The following formula describes the number sold N based on the price p N 4p 20p 7 How may hot dogs will they sell at most if the formula is accurate 20 hot dogs 27 hot dogs 32 hot dogs 48 hot dogs HO

Consider the graph of the function shown at the right is h x Which of the below options shows the correct intercept form of the graph h x x 1 x 3 h x x 1 x 3 h x x 2 x 1 h x x 1 x 3 y 3 54 3 2 1 N 2 h x

Graph the following polynomial function f x x 5x 300x Which of the following graphs correctly matches the graph of f x OA OB 10000 5 511 10000 150 O C 10000 O D 10000 10000 150

log 6 610 X O A 5 O B 60 O C 30 OD 5

f x O 4 2 co O x F R E O N C

Solve the equation ex 6 O A 10 OB 4 O C O D X 6 18 5 12 5

Graph the function Give the domain and range f x log 4x A domain 0 0 range 0 00 OB domain 0 0 range 00 00 Q O C domain 0 0 range 0 00 Ay Q 5 O D domain 0 0 range 0 00 Ay Q Q 27

Solve the equation by the zero faci 18x 33x 14 0 O A OB O C O D N w 2 7 3 6 3 2 6 9 9 2 71 3 6 operty

Solve the equation 4 x 2x 10 8 5 4 5

and a is in quadrant IV and cos 8 1 point Given sin a 9 Note You are not allowed to use decimals in your answer sin a 8 VII and 2 B Use sum and difference formulas to find the followin 0

Find the function value If the result is irrational round your answer to the nearest thousandth G 4 Let f x OA 64 1 12 OB O C 1 64 1 OD 27 X Find f 3

The function f x x 5 is one to one Graph f as a solid line and f as a dashed line on the same axes 2 OA OD AY 12 12 12 Q G OB O E 12 12 GAM 12 Q Q E The function is its own inverse O C OF The function is not one to one

Find a polynomial of degree 3 with only real coefficients and zeros of 6 4 and 0 for which f 2 1 Choose the correct polynomial of degree 3 with only real coefficients and zeros of 6 4 and 0 for which f 2 1 1 OA f x x 11 4 11 x 2 11 1 24 1 OB f x 1x3 48 1 1 1 O c f x x x 3x 48 24 x 2 1 O D f x x 4x 2x3 11 11

Decide whether the equation is an identity a conditional equation or a contradiction Give the solution set 2 5x 5 10x 10 0 OA Contradiction B Identity all real numbers C Conditional 0 D Conditional 5

Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first 4x 3x 23x 16x 12 x 3 Is x 3 a factor of 4x4 3x 23x 16x 12 OYes O No

Determine if the function is even odd or neither f x 0 75x x 2 O Odd O Even

For the given functions f and g find gof x f x 4x 5x 8 g x 5x 4 OA 20x2 25x 36 OB 20x2 25x 44 OC 4x2 25x 36 OD 4x2 5x 4

Graph the curve whose parametric equations are given and show its orientation Find the rectangular equation of the curve x 2t 5 y t 6 0 t 4 Choose the correct graph below LY The rectangular equation of the curve is 12 0 0 X 30 30 0 0

For X 39 n 69 X 19 and n 64 find p and q Round your answers to 3 decimal places as needed P 0 9 0 p

5 6 pts Find all solutions in terms of integer k with initial solutions in the interval Show your work Give your answers in radians rounded to 2 decimals 15sin x 3csc x

State whether each polynomial is a difference of two squares If it is factor the expression 1 n 81 4 9x 144 2 a 121 5 2x 9 3 n 16 6 4w 9

3 5 3 5 7 A 6b 56 81b C 5 k 6 C k 5 C A C A A 2v 5 35v 45 k 7 2 k 2 7k 5 5 7k 2 k 8 k 2 B n 3 49n 14 3 B b D 5 n 6 n 7 n 1 6 n 2 D 14v 18v 4 36 B D k 1 4k k 7 k 8 v 2 v 9 100 9v 21n 64n 20 9n 30n B D n 3 21n 8

Product 56 35 32 24 42 6 14 1 6 121 32 25 40 52 6 1 54 16 Sum 1 12 3 5 1 5 9 2 5 0 14 24 6 9 5 2 15 10 Factors

Find two factors wh Sum 1 13 6 0 8 9 7 18 1 56 14 25 0 8 4 3 10 Product 6 36 16 4 33 20 6 81 12 55 48 100 49 7 3 28 21 Factors

2 9 00 9v 4n 20 30n B D n 3 21n 8 9n 6 8 6 3x 9 7 x 4 5x A C 10 30x 90 4 x 9 8 7n 6 18n 27n n 3 A 10n C n 9 n 2 B 1 D x 8 3x 2n n 6 21n 18 2 B 3n n 6 n 2 27n D

5 7 5 7 5 35v 45 A 2v C v 3 4 n 3 14v 18v B D v 2 v 9 100 9v 21n 64n 20

https goformative com formatives 65688b2942b8873217618387 7 9 7 9 A 2v C A n 3 49n 14 C v 3 4 A C n 1 6 n 2 D 5 n 6 n 7 3a 7 21a 64a 35 3 a 1 5a a 6 a 10 6 B 21n 64n 20 9n 30n V 2 v 9 100 9v B D asics Multiply Rati x B 14a 10a 5a 45 D n 3 21n 8 9n 2a 5 a 9 a 6 9a 20 23 Kuta Software LLC All rights 8 8 10 10 A A A C C 7n 18n C n X n 10 12k 5k 4 k k 3 6k k 3

2 Multiply the matrices B 1 1 3 5 14 6 3 4 3 6 5

Calculate the binomial coefficient 11

v 2 V49 100 9v 6An 20 n 30n 5 35 LO 10 B D n 3 21n 8 9n 14a 10a Sa 45 B D 2a 5 a 9 a 6 9a 8 A 8 7 x 4 5 10 4 9 n 3 10n c n 9 n 2 A 10 7n 6 2n n 6 18n 27n 21m 18 B 1 A D 612 k 3 3x B 12k 60k 10k 36k 70 5k 22k 21 42 100 4 k 3 k 3 B D D 2 3mn 46 n 2 27n 8 k 8 k 10 54k k 9

Calculate the binomial coefficient 80 2

Basics to Multiplying Kat Simplify each expression 1 1 7b 8 9b 9b 3 A 6b C 3 56 81b k 7 5 7k A 5 k 6 C k 5 B b D 36 3b 2 k 2 7k 5 2 k 8 k 2 4 B D k 1 4k k 7 k 8

2 4 2 6x 6 8 10 4 A 9x C A 1 1 0 5 r 6 r 2 C 9 9 10r B 7 D 2 6 5 9x 20 2 5 r 5 r 2 10 B r 9 D r 8

WHIR Togels The problems on this worksheet come from your book p 146 148 2 6 12 and 14 1 Driving Use your graphing calculator to make a scatter plot for this data set using gallons as the independent variable Identify the correlation and find the equation of the line of best fit Gallons Distance mi 11 2 338 Distance Traveled Mean Temperature F Heating Bill 9 8 296 10 6 332 10 1 324 Claire s Heating Bills 38 42 44 93 79 75 12 3 368 2 Home Economics Use the data relating the average temperature in a month to the heating bill at Claire s house that month 36 83 8 7 263 10 1 305 42 49 38 74 67 86 a Make a scatter plot using mean temperature as the independent variable b Find the correlation coefficient and the equation of the line of best fit Draw the line of best fit on your scatter plot c Predict the heating bill for a month in which the average temperature is 40 F How accurate do you think your prediction is 3 School Here are the number of teachers and the number of students at a randomly selected sample of high schools in a city Teachers and Students at Selected Schools Teachers 92 52 114 49 110 62 76 84 Students 1050 653 753 381 1312 813 496 910 a Make a scatter plot of the data using teachers as the independent variable b Find the correlation coefficient and the equation of the line of best fit Draw the line of best fit on your scatter plot c Predict the number of teachers in a high school that has 600 students How accurate do you think your prediction is

Divide State any restrictions on the domain x 12x 32 x 16 x 12x 32 x 16 x 8 x 2 x2 6x 8 9 x 8 x 2 x 6x 8 11

asymptote s for the graph of h x 3x 27 x 4x Vertical Asymptote s Horizontal Asymptote s 3 pts

3 Karen invested 2025 into a savings account She will receive a 5 2 interest rate compounded monthly What is the value of her account after 9 years

1 Let f x 6x 1 and g x Find f g x f g x fg x and H 1 f g x 6x 1 Simplify your answer fg x 1 X f g x 6x 1 Simplify your answer 1 X 6x 1 Simplify your answer x x 6x 1 Simplify your answer The domain of f g is 6 Type your answer in interval notation The domain off g is 8 in interval notation 4 x Give the domain of each

Use the given table to evaluate each expression in parts a through d if possible a f g 2 b f g 4 c fg 2 d 0 a f g 2 7 Simplify your answer b f g 4 8 Simplify your answer c fg 2 Simplify your answer X 2 0 2 4 J 0 7 10 14

Let f x 6x 1 and g x Find f g x f g x fg x and 1 f g x 6x 1 Simplify your answer X f g x 6x 1 X Simplify your answer fg x 6x 1 Simplify your answer 7 x x x x 6x 1 Simplify your answer The domain of f g is Type your answer in interval ndation x Give the domain of each

1 a Question 1 7 NEXT BOOKMARK Keith received money from his family and friends for his birthday He decides to put the money in the bank Keith invests 3 050 at 13 7 interest compounded continuously Write an equation in y form to represent Keith s investment Use t for time 3 points 3 points x b If Keith s investment increases at the same interest rate each year how long will it take Keith s investment to double SHOW ALL WORK FOR HOW YOU SET UP THE PROBLEM AND USE LOGARITHMIC PROPERTIES TO ALGEBRAICALLY SOLVE THE PROBLEM

9 Determine whether the linear operator T R R defined by the equations is one to one if so find the standard matrix for the inverse operator and find T w w wz 10pts W x 2x Iz W 2x x 4x3 W3 7x 4x2 5x3

Let f x 6x 1 and g x Find f g x f g x fg x and 1 f g x 6x 1 Simplify your answer X f g x 6x 1 fg x 1 X Simplify your answer 6x 1 Simplify your answer x Simplify your answer 4 x Give the domain of each www

a fog x and its domain b gof x and its domain a fog x 5x 3 Simplify your answer The domain is 3 5 0 Type your answer in interval notation b gof x 5 x 3 Simplify your answer The domain is Type your answer in interval notation