Algebra Questions

a Enter the general expanded form of g x g x Roots on has factored form g x x x 1 x b Identify the roots of g x Separate multiple answers with a comma If a root has multiplicity m enter it m times c Identify the degree of g x degree d Identify the leading coefficient of g x leading coefficient e Describe the end behavior of g x O As x g x o and as a g x O Asx g x and as o g x 3

f x 3x x 6 x 10 Without graphing the function answer each of the following questions a Identify the degree of f b Identify the leading coefficient of f c Identify the y intercept of f Write your answer as an ordered pair d Describe the end behavior of f As x xo f x As x o f x O As x f x As x o f x As a o f x As o f x

O O 6 10 3 2 f x x 2 x 4 x 5 f x x 2 x 4 x 5 7 O f x x 2 x 4 x 5 O f x x 2 x 4 x 5 6 5 4 3 2 1 1 2 3 Shift Mouse Wheel to zoom Shift Mouse Drag to pan 4 5 V S 6 X X

T O do 149 4 O f x x 2 x 5 O f x x 2 x 5 f x x 2 x 5 O f x x 2 x 5 t 2 5 7 6 5 4 3 2 1 2 3 4 5 7 6

O O O O 7 6 5 7 f x x 2 x 5 f x x 2 x 5 f x x 2 x 5 f x x 2 x 5 3 V 5 5 4 S 3 6 2 1 2 4 3 5 6 7 2 A 6

20 6 17 O f x x 2 x 5 O f x x 2 x 5 O f x x 2 x 5 O f x x 2 x 5 to to 5 6 5 t 3 2 1 4 2 3 7 5 6 7 4 5

O O 6 5 7 to f x x 2 x 4 x 5 f x x 2 x 4 x 5 O f x x 2 x 4 x 5 O f x x 2 x 4 x 5 5 7 6 5 4 3 2 1 2 3 5 6 7

6 O 5 co O f x x 2 x 4 x 5 O f x x 2 x 4 x 5 O f x x 2 x 4 x 5 f x x 2 x 4 x 5 7 6 5 3 2 1 1 2 3 4 5 6 7 2 3 4 5 6

Using the graph of the function y f x answer the following questions Y Interval s 5 Interval s 5 A to 5 4 3 2 2 Shift Mouse Wheel to zoom Shift Mouse Drag to pan a On what intervals is f increasing Enter your answer in interval notation X 8 b On what intervals is f decreasing Enter your answer in interval notation

O 6 O 12 O f x x 2 x 4 x 5 O f x x 2 x 4 x 5 to f x x 2 x 4 x 5 2 f x x 2 x 4 x 5 5 7 6 5 4 3 2 1 1 2 3 5 6 7 5

A table of values of a linear function is shown below X y slope 2 4 equation y intercept 1 0 6 8 1 10 Find the slope and y intercept of the function s graph and find the equation for the function 2 12 8 08 1 0 X S

5 Suppose that x 13 is a point in Quadrant II lying on the unit circle Find x Write the exact value not a decimal approximation X 8

Find the exact function value 3 sin in 25 0 3 Simplify your answer including any radicals Use integers or fractions for any numbers in the

Find the exact function value 3x 4 cot 3 cot Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

9 Given a set P of P R P 1 x x x 1 2x a Use the Wronskian to show that P is a basis for P R Page 2

Question 11 Use the distributive law to find the product z 5z 4z

y f x Ay K 3 OA 1 5 29 y g x OB 0 20 OC 25 O D

Use the figure shown to the right and the given values to find sin 0 b and c 0 45 a 7 sin 0 0 b Type an integer or decimal rounded to three decimal places as needed

4 oblem 1 The polynomial P x 2x 6x 4x 20 24 has a complex zero of k 1 i a Find the remaining complex zeros and real zeros of the polynomial P x Be sure to justify your work using techniques learned in the class and not just list answers using trial and error b Write the complete factored form of the polynomial P x

The value of sin 30 is not Why is this true Choose the correct answer below A Since the value of sin 30 is B Since the value of sin 30 is 3 2 1 2 1 the value of sin 30 is not the value of sin 30 is not 1 2 1 2 is 12 Oc In the expression sin 30 30 means 30 radians the value of sin 30 is 2 OD Since the value of sin 30 is 0 9880 the value of sin 30 is not while the value of sin 30 is

Find the exact value of tan Choose the correct answer below OA 3 3 3 OB 2 3 OC 0 OD 3 OE 1 OF Undefined

Which one of the following vectors is a normal vector for any line which is parallel to the line 5x 4y 2 OA 5 4 OB 4 5 OC 2 3 O D 4 5 O E 3 2

nvert the radian measure to degrees Points 2 radian s Round to the nearest r

Convert the radian measure to degrees 91 5 5 0 Type an integer or a de

The function f is given by f x x 3 When f is rewritten in the form f x x ax bx cx d which of the following values is greatest

onvert the following degree measure to radians 60 Question 8 3 1 17 Points 0 of 1 60 radians Simplify your answer Type an exact answer using a

Convert the following radian measure to degree measure 1 R 4

Convert the following radian measure to degree measure 3 2

Convert the following radian measure to degree measure 7T 4

Convert the following radian measure to degree measure T 2

onvert the following degree measure to radians 0 Points 0 of 1 330 radian s Simplify your answer Use integers or fractions for an exact answer using as needed

Convert the following degree measure to radian measure 90 Question 5 3 1 11 HW Score 0 0 of 28 points Points 0 of 1 90 radians Simplify your answer Type an integer or a fraction

Definition A graph in which any two distinct points are adjacent is called a complete graph A complete graph with p vertices is denoted by K K K K K Fig 1 8 Note The number of edges of a complete graph K is p C 2 Ks 5 NULL GRAPH Definition A graph G whose edge set is empty is called a null graph or a totally disconnected graph

Multiply 4 7i 4 7i 4 7i 4 7i Type your answer in the form a b

Find the product 7 2i 3 6i 7 2i 3 6i Simplify your answer Type your answer in the form

Determine whether the given set of ordered pairs a 6 1 b 6 5 and c 0 2 are the solutions of the system of equations 5x 10y 20 2x 4y 8 a Is 6 1 a solution of the system Choose the correct answer below OA No because it satisfies both the equations OB Yes because it satisfies both the equations OC Yes because it satisfies the first equation O D No because it does not satisfy at least one equation b is 6 5 a solution of the system Choose the correct answer below OA Yes because it satisfies both the equations OB No because it satisfies both the equations OC Yes because it satisfies the first equation OD No because it does not satisfy at least one equation a ln 0 a solution of the system Choose the correct answer below

Solve the following system by graphing y 4x 3 12x 3y 9 Use the graphing tool to graph the system Click to enlarge graph Solve the system Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution is Type an ordered pair OB There are infinitely many solutions C There is no solution CALL 10 B o 8 6 4 2 2 6 8 10

3i 8 9i 3i 8 9i Type your answer in the form a biUse integers or fractions for any numbers in the

Add 12 1 2 5i C 12 i 2 5i Simplify your answer Type your answer in the form a b

Use elimination to determine whether the followin system has no solution or infinitely many soluti 25x 20y 70 20x16y 2 Choose the correct answer below OA There are infinitely many solutions B There is no solution

Full Solutions to these problems must be uploaded to Canvas before the deadline Solutions must be organized legible and all papers must be stapled Points will be deducted for incomplete reasoning and disorganized work even if your answers are correct No late submissions will be accepted Problem 1 Solve each inequality symbolically and state the solution set using interval notation 3y 2y 1 a b TT 4x c 1 d 3 L1 8 1 8x 2 3 2t 5y 7x 2 7 2 52 3 un granha of f r and a r to solve each equation or inequality For each inequality use 1

121 121 Simplify your answer Type your answer in the form a bi

6 Shayna completes of a project in of an hour How many hours will it take her to complete the entire project

4 It took 2 hours for Ben to clean of his house How long will it take him to clean the entire house

5 The ratio of sugar to salt in a recipe is 20 3 If Jessica is following the recipe and using 4 cups of sugar how much salt will she need to use

4 In of an hour Becca completes of a project How many total hours will it take her to complete the project a hours c 1 hours b 1 hour d hours

3 At a grocery store peppers cost 1 25 a pound How much money would a customer be charged for four and a half pounds of peppers

2 George is on the track team and can run 50 meters in 8 seconds If he runs at the same rate about how many seconds will it take him to reach the 375 meter mark

You must show work for ALL problems to get 1 Amy types 130 words in 2 minutes If she types for 45 minutes how many words will she type

3 Jemma can knitof a scarf in of an hour How long would it take her to knit an entire scarf