Algebra Questions

5 1 54 4 5 if A 4 8 O O Select one 8 89 1 8 1 1 1 9 0 75 2 3 7 1 3 5 1 8 8 9 4 5 1 8 1 B 4 8 1 2 2 det A 16938 then det B 2 3 7 1 3 1 9 0 75 2 2 and a 16938 b 16938 c 1 16938 d 1 16938

find value values of m will the system be inconsistent mx 1 m y 1 1 m x my 3 Select one O a m 1 2 b m 2 c m 1 2 d m 1

If A is a square matrix such that A I then A is equal to Select one a O b A c A I d 2A O O

If A is a nonsingular 2 x 2 matrix then nullity of A 2 Select one O True False

3 then the eigenvalues of A are 1 Let A Select one a 3 8 b 3 1 c 8 8 d 3 8 1 O O

5 54 5 54 54 55 55 56 Select one O a 0 b 5 c 25 d 1 O

The inverse for matrix a b Select one O 1 ad bc c d b 1 ad bc c a d b a ad bcdc d b C a 1 d b

find value values of k such that matrix is singular 103 2 1 0 L4 2 k Select one O a k 24 b 24 c k 20 d k 20

let A 5 4 1 2 0 2 3 8 0 03 9 Loo 0 7 Select one O O O a 220 b 210 c 210 d 220 then det A

if C A3x2XB 2x9 dimensions of C Select one O a 3x9 b 2x9 c 3x2 d 9x3 O O O

Let A 4 5 3 1 Select one O O Which of the following statements are true a A is singular b A is nonsingular 1 c A does not exist d 7 42 the inverse

1 If A 0 2 find det A Select one O a 2 b 1 C 1 d 2 O 0 21 2 1 0 3

1 2 3 let A 6 5 4 det A 7 then det A 10 14 17 Select one a 7 b 1 7 c 7 d 1 7 O O O

If determinant of a matrix is equal to zero then it is said to be Select one O O a invertible b nonsingular c singular d square

Find X Y If 13 X2 58 Select one O O a x 2 y 3 b x 3 y 3 c x 3 y 3 d x 1 y 1 56

la lb 1c f x 2 750x 2 000x 3 000 1 200 x Determine the exact values of the roots of f x using Completing the Square method Possible Points 3 1 or 0 Determine the exact values of the roots of f x using the quadratic formula Specify the type s of roots of the function Possible Points 2 1 or 0 Possible Points 2 or 01

Use synthetic division to show that x is a solution of the equation and use the result to factor the polynomial completely List all real solutions of the equation Enter your answers as a comma separated list x x 14x6 0 x 2 6 X

A 8 b 34 Triangle is not necessarily drawn to scale Find the length of side b a Q round to two dec

The graph of g has a vertical asymptote at x 1 and horizontal asymptotes y 3 and y 2 Determine the limits lim g x lim g x lim g x and lim g x X 1 8118 X48 X 1 lim g x x118 lim g x 818 lim g x X 1 lim g x x 1 6 4 2 2 A g x 2 X

with variables X1 X2 X3 X4 PROBLEM 3 For a tuple of vectors A 2 2 1 1 0 0 1 1 2 2 0 0 2 2 1 1 in R4 2p verify if A is a basis of R4 4p find a basis and the dimension of span A 4p verify if 3 2 2 2 e span A

5n 2n n 4n6 5n5 2n 5n 3 5p Find lim 3 5p Find lim n n 5n n 1 3p Show that lim tg x 2 g x 7 x 0 does not exist

Find m G 3x 2 K H

3 x 125 125 5 14 14 256 256 4

Which relation is a function O a O b O c O d S4 3 2 1 1 3 2 1 4 a 5 4 3 2 3 S4 3 2 1 1 2 1 3 2 2 1 3 4 2 3 2 4 3 2 14 A 2 1 2 3 3 3 4 INN 4 5 5 5

The graph of a piecewise defined function is given Write a definition for the function that best describes this graph B 3 0 0

What are the peaks of a periodic function O a the highest points of the graph Ob the x intercepts of the graph Oc the extremes of the graph d the lowest points of the graph Question 5 1 point Which function represents f x x 5 4 written in standard form O a f x x 10x 21 Ob f x x 10x 29 Oc f x x 10x 21 d f x x 10x 21

What is the shortest interval in which a periodic function will complete one cycle Ob a period A C a B bd a wavelength c Question 21 1 point an action d an event b a Given triangle ABC above if DA 38 and b 4 47 cm determine a to the nearest hundredth a 5 67 cm b 7 26 cm c 3 52 cm d 2 75 cm

The function f is given by the equation f x x 3 x 21 The graph of the function g x is shown below Express the function g x in terms of f x 4 2 4 2 2 6 a a

Solve the right triangle with A 37 degrees and b 54 9

1 point What is the cycle of a traffic light with respect to time a 3 Ob the time it takes to repeat Oc infinite O d gro

Evaluate 6 for 0 6 3 12 6 54 2 6 a 2 Ob 54 O co d

3 A city bus charges 0 25 per ride if you first buy the 10 discount card Let B be the total cost in dollars of taking n rides on the bus a Complete the table for function B for several inputs h 71 10 0 10 2 95 4 8 5 B r b Sketch a graph of the total cost B in dollars for the number of bus rides from 0 to 10 2 c Write an equation for B as a function of n B 10 bus rides Cost less than 17 16 15 14 132129 10 2 4 6 8 10 B 0 10 Ben B n 1 25 n22

5 Here are three patterns with their first 5 terms listed For each pattern de way to produce each new term from the previous term a Pattern A 5 8 11 14 17 FM 5 F 2 F n f n 1 3 nzz R b Pattern B 1 2 4 8 f 1 1 2 f n f n 1 nzl c Pattern C 0 1 3 6 10 f 2 12 f n f n 1 3 1 b 2

Solve the inequality and graph the solution Write the answer in interval notation 2c 123 or 3c 6 1111 111 6 5 4 3 2 1 0 1 2 3 4 5 6 0 2 U 2 00 6 5 4 3 2 1 2 U 2 00 0 1 31 6 5 4 3 2 1 0 1 2 U 2 00 2 3 4 5 6 E 2 3 4 5 6

olve the absolute value inequality Graph the solution set and write the solution in interval notation a b 4 5 114 25 3 IT 7 114 25 6 25 2 25 6 25 6 25

Solve the inequality Write the answer in interval notation 4x24 and 14 x 7 a 7 00 b 1 7 c 0 00 d 1 7 a Ob c O d

Solve for the indicated variable C 27r for r 2C a r a C 2T Ob b r T d Oc c r 2 C T 20 d r

Use the Y screen to write the equation being solved Then use the table to solv Plot1 Plot2 Plot3 X Y Yt 2 X 3 Y2 2 3 2X Y3 AY4 Y5 Y6 Y7 O C 2 X 3 2 3 2X 2 O D 2 X 3 0 and 2 3 2X 0 OE 2 X 3 2 3 2X 3 OF 2 X 3 2 3 2X 0 O G 2 X 3 2 3 2X 3 2 1 3 X 3 12 10 8 6 4 110 Y 2 Part 1 of 2 18 14 10 840 6 2 6

Write a recursive rule for the sequence 208 104 52 26 13 6 5 A recursive rule for the sequence is a a

You create a post on a social media site and tag five friends In the second round each of your friends tag five people and the process continues a Write a function that represents the number of people who are tagged in the nth round an b In which round will 3 125 people be tagged

The value of a car is 27 300 It loses 12 of its value every year a Write a function that represents the value y in dollars of the car after t years y b Estimate the value of the car after 5 years Round to the nearest dollar

The first two terms of a sequence are a 9 and a 3 Let a be the third term when the sequence is arithmetic and let b be the third term when the sequence is geometric Find az bz az b 3

What is the equation of the line in point slope form given a slope of 23 and the point 4 7 y 7 2 3 x 4 y 7 2 x 4 y 4 x 7 y 7 2 x 4

1 If v w 4 I and v w 1 5 compute and draw v and w

7 3n 2n A C 9 29n 52n 32 8n 7 A 4 1 5 B 7 D B D 4 3 with wif 3 7 8 10 8 9x 45x28 2x B A 6 6 D 10 a 7a 25 5 3a 1 A B D 5 2

Identify Types Of Slope Worksheet 4 What type of slope does the line on the graph below have K E EL14 14 13 T TE 30 13 14 O Positive slope O Zero Slope O Negative slope

5 Radical Solve each equation Remember to check for extraneous solutions 1 x 6 x 2 2 x x A 4 3 A 1 2 C 5 2 C 1 3 3 3n n A 0 3 C 1 0 equations quadratics 5 a 12 a A 3 4 C 4 4 7 V 2r 3 r 2 A 1 C 1 1 9 9 2b b A 0 4 C 0 2 B 5 3 D 2 B 0 D 5 0 B 3 D 4 B 5 1 D 4 1 B 2 0 D 0 2 4 6 8 10 4 k 4 11 A 5 C 1 3 A 3 C 3 B 1 D 1 2 2k 6 m 3 2m 6 8 20 a a A 4 C 1 5 B 1 D 1 1 B 3 5 D 3 3 B 1 5 D 1 4 10 a 4 6 a A 2 1 C 5 B 2 D No solution

If A is 4x4 matrix the dat A det A Select one True False

30 1 2t 4 31 3 4 x 20 32 51 2x 40

1 2023 Kuta Software LLC All rights reserved Solving Quadratics a 1 Solve each equation by factoring 1 7x 3x 0 A 4 27 8 7 C 1 55 7n 52n 21 9 3 3 3p 14p 27 3 A 2 7 6 B A 7 9 12 8 C 7 3n 2n A B C D 4 D B D B D 9 29n 52n 32 8n A B 131 D 37 43 3 48 2 4 6 8 10 2 3b 206 32 0 A C 4 5x 27x 31 3 A B 6 2p 15p 18 A 1 1 C D 5 B D B 7 1 3 8 8 9x 45x28 2x A D 3 5 B B D D 225 6 3 7 25 10 a 7a 25 5 3a A 4 4 6 5 6