Algebra Questions

Use the given function f to answer parts a through f below X 4 f x 4 5 via w grupis v MVIVIR O A 10 Q 10 Q X

Change the exponential statement to an equivalent statement involving a logarithm ex 2

8 15 11 i

in 15 0

16 17i 8 12i

6 5i 3 10i

3 51

17 61 9 10i

Find the complex number for the given radical expression 7 20

Identify the real and imaginary parts of the given number Then tell which of the following sets the number belongs to real numbers imaginary numbers and complex numbers 1 i

Simplify i 5

3x2 8 19

0 9 z

A radical expression is shown below What is the simplified form of this expression 128

7 9 7 41n 2214n 71 n 54 76 A 41m n 1 n 54 70 n 54 B 41n n 2 71 n 54 C 41m D 41m 1 71 n 54 8 8 66x 2912x x 3036 96 x 41 A x 30x 29 96 x 39 B x 30x 35 96 x 37 C x 30x 33 96 x 36 D x 30x 32 96 x State if the given binomial is a factor of the given polynomial 9 x 3x 8 x 3 B No 10 A Yes 10 2m 5m 30m 12 6 m A No B Yes

2 13

8 Software LLC REVIEW REVIEW Divide 8 11x 57x 21x 27 11x 9 A x 6x 3 B x 6x 5 1 11x 9 C x 6x 4 D x 6x 6 5 11x 9 Find each product 10 3p p 8 4p 7p 5 A 12p 17p 54p 51p 40 B 12p 25p 40p 2 61p 40 C 12p 17p 54p 51p 40 D 12p 7p 40 All rights reserved 9 9 8x 57x 33x 5 8x 1 A x 7x 5 B x 5x 3 C x 7x 8 D x 5x 2 1 8x 1 4 8x1 ZOC

1 3 Divide 1 3 2v 2 v 6 A 2 v 3 2 v 4 2 v B v C v 3 3 D 1 2 v 4 3 3n n n 5 2 n A n n 3 1 B n 2 C n 2 D n 1 2 11 2 2 n 3 2 n 5 2 n 4 2 2 2n 3n 2 n 1 A 2n n 1 B 2n n 2 C 2n n 3 D 2n n 3 3 n 1 3 n 1 3 1 1 4 8 2v 11 10v 2 v A 8 5 2v 1 B 8v 5v 2 C 8v 5 2v 5 1 2 v D 8v 5v 4 2 v 4 2 1 2 v

5 5 32x x 30 x 18x x 6 A x 5x 2x 5 B x 5x 4x 3 C x 5x 2x 6 6 D x 5x 4x 3 B 41m n 2 1 71 n 54 C 41m 5 x 6 6 X 6 7 41n 2214n 71 54 76 A 41m n 1 54 70 54 D 41m 1 71 54 X 6 x 6 8 6 6 36 3 b 3 A b b B b b 2 C b b 3 3 D b b 3 b 3 2 b 3 7 b 3 8 66x 2912x x 3036 96 x 41 A x 30x 29 B x 30x 35 C x 30x 33 D x 30x 32 96 X 39 96 x 37 ZOO 96 X 36 96 x

4 6 Simplify each sum 4 2x 5 6 2x A 1 C 1 5x 6 A Simplify Your answer should contain only positive exponents a b 2a b 2a 7 2a b C 266 1 16a 10 B B 1 x D 3 5x D b 16a lo 64a12 b 1971 00 LLC K 5 AIL 5 2x 6x 3x x A 7x x C 8x x 7 2a bab ab C 64a 4 14 B D B 15x x D 14x 8b 16b 20 Maki 3

10 Find each product 10 3p p 8 4p 7p 5 A 12p 17p 54p 51p 40 B 12p 25p 40p 61p 40 C 12p 17p 54p 51p 40 D 12p 7p 40 State if the given binomial is a factor of the given polynomial 11 11 4x5 24x 5x 27 x 6 12 A No B Yes 12 x 8 7x 7 x A Yes B No

3 3 3n n n 5 2 n A n n 3 B n 2 C n 2 1 D n 1 2 n 2 2 n 2 n 5 2 n 2022 Cara Sefware LLC All rig 4 4 8 2v 11 10v 2 v A 8 5 2v 1 7 2 v 4 2 v B 8 5 2 C 8v 5v 2v 2v 5 D 8v 5 4 2 2 v 2 v Made with infinite Alethra 2

REVIEW REVIEW Simplify each difference 2 3n 6 3n 4n 7 7n A n 4n 12 6n B n 4n 14 6n C n 4n 12 13 D n All rights reserved 3 3 6n 5 2n 4n 5 8n A 10n 7n 5 B 10n 8n 5 C 10n 2n 5 D 10n 2n 2

x 1 x 15 2x zoom in 3x 2 1 What is the expression that represen the area of the shaded part of the figure Type a response

Synthetic Division Divide 11 3 2v 2 v A v 3 B 2 v 3 C v v 3 3 D 2 1 6 2 v 4 2 v 2 2 2n 3n 2 n 1 A 2n n 1 B 2n n 2 C 2n n 3 D 2n n 3 n 1 3 n 1 3 n 1 3 n 1

Use the parent function f x b and transformation techniques to graph h z 5 1 Also indicate which transformation s is are applied Determine the domain range and horizontal asymptote of h Select all transformations that apply Reflect the graph of f about the y axis Shift the graph of f1 unit to the right Reflect the graph of f about the x axis Shift the graph of f 1 unit down Horizontally compress the graph of f by a factor of 1 Vertically stretch the graph of f by a factor of 1 Vertically compress the graph of f by a factor of 1 Shift the graph of f 1 unit to the left Shift the graph of f 1 unit up Horizontally stretch the graph of f by a factor of 1

The formula S SA 6 gives the length of the side s of a cube with a surface area SA How much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters 30 2 5 meters 30 2 5 meters 8 5 meters 5 6 2 5 meters

5 3 3 5 3 A 12 2 15 B 12 C 8 2 15

Multiply 5 4 3 10 A 2 3 2 B C D 4 5 15 2 30 2 3 3 2 2

62 of the freshmen like both rap and classical but don t like jazz 29 of the freshmen like both rap and jazz but don t like classical 56 of the freshmen like classical but like neither rap nor jazz 117 of the freshmen like jazz but like neither rap nor classical 47 of the freshmen like rap but like neither classical nor jazz 572 of the freshmen like at least one of these three types of music rap classical jazz Construct a Venn diagram illustrating these results Then answer the question All freshmen in the survey Like rap 297 7 Like classical How many of the freshmen don t like jazz freshmen X 3

State Cayley Hamilton theorem and use it to find A 1 and A4 Where A 1 2 3 2 1 4 L3 1 1

The population of Fort Pierce can be modeled by the function P 45481e0 008266t where t is the number of years since 2020 Use the above function to answer the following questions What was the population of Fort Pierce in 2020 In what year is the population of Fort Pierce projected to reach 74 589 Round the solution to the ne whole number

State if the given binomial is a factor of the given polynomial 9 x 3x 8 x 3 A Yes B No 10 10 2m 5m 30m 12 6 m A No B Yes

Synthetic Division Divide 1 3 2 1 v 2 v 6 2 v A v v 3 4 2 v B v v C v v 3 3 D 2 v 3 3n n n 5 2 n A n n 3 B n 2 C n 2 D n 1 1 2 n 2 2 n 3 2 n 5 2 n 2 4 2 2n 3n 2 n 1 A 2n n 1 B 2n 2n 2 n 1 3 n 3 n 1 3 C 2n n 3 D 2n n n 1 3 n 1 4 8v5 2v 11v4 10v 2 v 7 A 8v4 5v 2v 1 2 v B 8v4 5v 2 C 8v4 5v 2v 5 D 8v4 5v 4 2 2 v 4 2 v 1 2 v

7 41n 2214n 71 n 54 76 A 41n n 1 2 B 41n n 2 C 41n 71 n 54 D 41n 1 n 54 70 n 54 71 n 54 8 8 66x 2912x x 3036 96 x 41 A x 30x 29 B x 30x 35 C x 30x 33 D x 30x 32 96 x 39 96 x 37 96 x 36 96 x

5 32x x 30 x4 18x x 6 6 6 5 x 6 6 A x 5x 2x 5 B x 5x 4x 3 x 6 6 C x 5x 2x 6 D x 5x 4x 3 x 6 1 x 6 6 b 3b 3 b 3 1 A b b b 3 B b b 2 C b b 3 3 b 3 D 6 2 b 3 7 b 3

Synthetic Division Divide 1 3 2v v 2 v 6 A v v 3 2 v 4 2 v B v v C v v 3 3 D v 2 v 2 2 2n 3n 2 n 1 1 A 2n n 1 n 1 3 B 2n n 2 C 2n n n 3 D 2n n 3 n 1 3 n 1 3 n 1

A graphing calculator is recommended In this problem you are asked to find a function that models a real life situation and then use the model to answer questions about the situation Use the guidelines on page 217 to hell A rancher with 700 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle see the figure a Find a function A that models the total area of the four pens Use w to represent the width of the field A W x b Find the largest possible total area of the four pens Xtt Wholes

Synthetic Division Divide 1 3 2v v 2 v 6 A v 3 2 v 4 2 v B v v C v v 3 3 D v 2 v

2 v Using Cayley Hamilton theorem find A for A 2 et A be any non zero vector square in ma Said

Teo has x wooden beads at 0 50 each and 6 glass beads at 1 25 each The average cost of the beads is 0 75 Which equation models the situation

i 7

5x 5 2 6 16

2 3

That is the simplified form of the expression 180

0 16

6 IP Ka

5r2 8 43

CAJ N

On the moon the distance d in feet that an object falls in time t in seconds is modeled by the function d t t Suppose an astronaut on the moon drops a tool How long does it take the tool to fall 4 feet 000