Algebra Questions

What is the equation of the function shown in the graph given that the equation of the parent function is f x g x 2 g x 3 o g x 3 ar 4 FP ER y 4 g x 1 3 3 2 n E Ba 50 SPE h 0 3 2 3

Which graph represents f x 5 3 2 1 6 5 4 3 2 1 1 2 1 2 3 4 5 67 6 5 4 3 X

Which graph represents the function f x 3 O 5 y 4 3 2 1 5 4 3 2 1 1 2 3 4 5 1 2 3 4 5 X

What is the asymptote of the graph of g x 3 6 O y 3 O y 4 O y 5 O y 6

13 11 11

3 x 3x 2 0 5 0

3 1 pt Suppose a bag contains equal numbers of red marbles and red cubes and twice as many blue marbles as red marbles You reach in with your eyes closed and take out one item Which of these best describes the probability of getting a blue marble likely unlikely or roughly even chance Justify your answer with an example or an explanation

201 12 A C 201 nm 8m 15 1 M B D A 12 12 271 27 A 4x 2 C 8x B DI an

Lesson Quiz A 1 Factor each of the following polynomials 5 points 9n 49 c 729

7 7 A C m 2mn 1 32mm B 8n13 D m n 8 A m 2pm 2m n B 8m n D 32m n 12

2 What is the remainder if f x x 5x 6x 10 is divided by x 4 Remainder 2 pts

A screwdriver is dropped from the top of an elevator shaft Exactly 5 0 seconds later the sound of the screwdriver hitting bottom is heard How deep is the shaft The shaft is approximately Round to the nearest tenth feet deep 5 Hint The distance that a dropped object falls in t seconds is representee the formula s 16t2 The speed of sound is 1100 ft sec

The profit of a company in dollars is the difference between the company s revenue and cost The cost C x and revenue R x are functions for a particular company x represents the number of items produced and sold to distributors C x 2100 60x R x 860x a Determine the maximum profit of the company The maximum profit of the company is

Aki s Bicycle Designs has determined that when x hundred bicycles are built the average cost per bicycle is given by C x 0 5x 0 8x 1 812 where C x is in hundreds dollars How many bicycles should the shop build to minimize the average cost per bicycle The shop should build bicycles

a 1 0 0 0 1 0 0 0 a the following values can Ax attain for appropriate choices of a Select all that are correct Given the matrix A Cannot be determined from the information given 14 983 0 598 where a R which of

17 Find all roots of the equations a z4 222 4 0 b w w 1 0 c z 1 0 d z 22 522 8 4 0 e 3 12z 10 0

Solve the following system y 1 2 x 6 x 5 y x 1 5 Show Your Work

EXTRA CREDIT SUM 2 Q2 Sketch the graph of each linear inequality 1 3x y 2 A B C D 6 4 4 2 Y 2 2 4 X 6 x 6 x x 2 2 x 2y 0 A B C D 43 1 4 2 2 16 4 2 V A x X X

Sketch the graph of each linear inequality 1 3x y 2 A B C D 14 4y y X 2

11 6mn 3m n 8m n 5m n 5m n 6m n 5m n 6m n 3m n A 6m n 10m n 5m n 9m n 6m n 6mn B 6m n 10m n 5m n 9m n 5m n 6mn 4 C 6m n 11m n 5m n 9m n 6m n 6mn 4 D 6m n 11m n 5m n 9m n 2m n 6mn

Refer to the three images below to complete the problems that follow Check your answers using the link at the bottom of the page f x x 3 1 Find 3 Find the value for x when 2 For how many values of x does 4 Evaluate 5 Evaluate 6 Evaluate X 2 7 Is Explain 0 1 2 g x 5 52 2 1 2 25 32 h x

2 12 6u y 7v 2uv 4u v u v 8u 5u v 6v 4 3v 1 A 4u v 6v4 4v 2uv 8u B 4u v 5v4 4v 2uv 8u C 4u v 3v4 4v 2uv 8u D 4u v 5v4 4v 2uv 5u

10 8x4y 6x 4xy4 6x4 5x y4 6x y 2x 2x y 2x A 6x y 5x y 4 6x y 4xy4 4x 4x B 5x y 5x y4 6x y 4xy 4x 4x C 5x4y4 2x y4 8x y 4xy 4x 4x D 5xy 2x y 6x y 4xy 4x 4x

9 1 2x y4 8x 8xy 5 4x y 6xy 8x4y x4 A 5x y 9x 10xy 4 B 2xy 9x 10xy 4 C 5x y 9x 10xy 10 D 2xy 9x 14xy 4

Simplify 1 8 6 40 2 18 3 24 7 45 8 54 12 72 13 68 14 4 27 9 49 15 2 5 32 10 56 16 11 44 17

Write each expression in radical form Skip this section 13 5x 4 14 5x 3 15 10n 16 as

Polynomial Addition Simplify each sum 1 3n 8n2n n A 5n4 8n C 7n 8n 3 3x 8 2x 8 A 2x C 4x B 7n D 7n 5n B 5x D 2x 6 5 4u8u y 3u v 2u A 5u y u4 B 8u y u C 5u y 2u4 D 5u v 7 8y 3x 2x 3y A x 4y C x 3y B x 11y D x 9y 2 4 6 8 2 2n6n 5n 3n A 6n 5n4 C 3n 2n 4 4p 8 7 3p A 4p 3p 1 B 2p 4p 1 C 2p 4p 4 D 2p 3p 1 6 4m n m 7m2m n A 7m n 8m B 16m n 8m C 6m n 8m D 8m n 8m 8 56 8 5 5b4 A 3 C 3 B 3n 3n D 5n 2n B 1 D 5

Polynomial Addition Simplify each sum 1 3n 8n2n n A 5n4 8n C 7n 8n 3 3x 8 2x 8 A 2x C 4x B 7n D 7n 5n B 5x D 2x 6 5 4u8u y 3u v 2u A 5u y u4 B 8u y u C 5u y 2u4 D 5u v 7 8y 3x 2x 3y A x 4y C x 3y B x 11y D x 9y 2 4 6 8 2 2n6n 5n 3n A 6n 5n4 C 3n 2n 4 4p 8 7 3p A 4p 3p 1 B 2p 4p 1 C 2p 4p 4 D 2p 3p 1 6 4m n m 7m2m n A 7m n 8m B 16m n 8m C 6m n 8m D 8m n 8m 8 56 8 5 5b4 A 3 C 3 B 3n 3n D 5n 2n B 1 D 5

Polynomial Addition Simplify each sum 1 3n 8n2n n A 5n4 8n C 7n 8n 3 3x 8 2x 8 A 2x C 4x B 7n D 7n 5n B 5x D 2x 6 5 4u8u y 3u v 2u A 5u y u4 B 8u y u C 5u y 2u4 D 5u v 7 8y 3x 2x 3y A x 4y C x 3y B x 11y D x 9y 2 4 6 8 2 2n6n 5n 3n A 6n 5n4 C 3n 2n 4 4p 8 7 3p A 4p 3p 1 B 2p 4p 1 C 2p 4p 4 D 2p 3p 1 6 4m n m 7m2m n A 7m n 8m B 16m n 8m C 6m n 8m D 8m n 8m 8 56 8 5 5b4 A 3 C 3 B 3n 3n D 5n 2n B 1 D 5

Polynomial Addition Simplify each sum 1 3n 8n2n n A 5n4 8n C 7n 8n 3 3x 8 2x 8 A 2x C 4x B 7n D 7n 5n B 5x D 2x 6 5 4u8u y 3u v 2u A 5u y u4 B 8u y u C 5u y 2u4 D 5u v 7 8y 3x 2x 3y A x 4y C x 3y B x 11y D x 9y 2 4 6 8 2 2n6n 5n 3n A 6n 5n4 C 3n 2n 4 4p 8 7 3p A 4p 3p 1 B 2p 4p 1 C 2p 4p 4 D 2p 3p 1 6 4m n m 7m2m n A 7m n 8m B 16m n 8m C 6m n 8m D 8m n 8m 8 56 8 5 5b4 A 3 C 3 B 3n 3n D 5n 2n B 1 D 5

Write each expression in radical form 1 7 2 2 3 2 2 3 5 6 2 4 6

Polynomial Addition Simplify each sum 1 3n 8n2n n A 5n4 8n C 7n 8n 3 3x 8 2x 8 A 2x C 4x B 7n D 7n 5n B 5x D 2x 6 5 4u8u y 3u v 2u A 5u y u4 B 8u y u C 5u y 2u4 D 5u v 7 8y 3x 2x 3y A x 4y C x 3y B x 11y D x 9y 2 4 6 8 2 2n6n 5n 3n A 6n 5n4 C 3n 2n 4 4p 8 7 3p A 4p 3p 1 B 2p 4p 1 C 2p 4p 4 D 2p 3p 1 6 4m n m 7m2m n A 7m n 8m B 16m n 8m C 6m n 8m D 8m n 8m 8 56 8 5 5b4 A 3 C 3 B 3n 3n D 5n 2n B 1 D 5

Polynomial Addition Simplify each sum 1 3n 8n2n n A 5n4 8n C 7n 8n 3 3x 8 2x 8 A 2x C 4x B 7n D 7n 5n B 5x D 2x 6 5 4u8u y 3u v 2u A 5u y u4 B 8u y u C 5u y 2u4 D 5u v 7 8y 3x 2x 3y A x 4y C x 3y B x 11y D x 9y 2 4 6 8 2 2n6n 5n 3n A 6n 5n4 C 3n 2n 4 4p 8 7 3p A 4p 3p 1 B 2p 4p 1 C 2p 4p 4 D 2p 3p 1 6 4m n m 7m2m n A 7m n 8m B 16m n 8m C 6m n 8m D 8m n 8m 8 56 8 5 5b4 A 3 C 3 B 3n 3n D 5n 2n B 1 D 5

Polynomial Addition Simplify each sum 1 3n 8n2n n A 5n4 8n C 7n 8n 3 3x 8 2x 8 A 2x C 4x B 7n D 7n 5n B 5x D 2x 6 5 4u8u y 3u v 2u A 5u y u4 B 8u y u C 5u y 2u4 D 5u v 7 8y 3x 2x 3y A x 4y C x 3y B x 11y D x 9y 2 4 6 8 2 2n6n 5n 3n A 6n 5n4 C 3n 2n 4 4p 8 7 3p A 4p 3p 1 B 2p 4p 1 C 2p 4p 4 D 2p 3p 1 6 4m n m 7m2m n A 7m n 8m B 16m n 8m C 6m n 8m D 8m n 8m 8 56 8 5 5b4 A 3 C 3 B 3n 3n D 5n 2n B 1 D 5

Polynomial Addition Simplify each sum 1 3n 8n2n n A 5n4 8n C 7n 8n 3 3x 8 2x 8 A 2x C 4x B 7n D 7n 5n B 5x D 2x 6 5 4u8u y 3u v 2u A 5u y u4 B 8u y u C 5u y 2u4 D 5u v 7 8y 3x 2x 3y A x 4y C x 3y B x 11y D x 9y 2 4 6 8 2 2n6n 5n 3n A 6n 5n4 C 3n 2n 4 4p 8 7 3p A 4p 3p 1 B 2p 4p 1 C 2p 4p 4 D 2p 3p 1 6 4m n m 7m2m n A 7m n 8m B 16m n 8m C 6m n 8m D 8m n 8m 8 56 8 5 5b4 A 3 C 3 B 3n 3n D 5n 2n B 1 D 5

Simplify 1 25 92 27 10000006 29 49 2 1 31 64n 2 26 343 3 AIDA 28 36 30 9 1 32 81m

12 x y 4 2 y A 4x8y 2 C 136 8x6 B D 8p6 y 1 8ry6

Write each expression in exponential form 7 10 9 2 11 8 2 10 5 12 10

Match each of the following graphs with the correct function by placing the letter of the graph on the line provided Each letter can only be used once Do not use a calculator or desmos to draw the grap J H 3 100 2 1 X 2 F 12 1 1 1 1 0 a 1a E 41 2 1 B 5 10 272x 1 q 1 x 1 x 1 2 C 1 G 6 f x x 2 fi x x 1 7 f x x 3x 2 9 1 b 1 CHO 9 1 a l 1 2 x 3 1 100 201 2 0 c 2 8 f x x 2x 10 D 9 f x 2 2 x 1 1 1 2 1 3 X 1 F 0 1 1 2 1 1 2 1 10 f x x 2x x 1 x 2 To H 1 1

provided Each letter can only be used once Do not use a calculator or desmos to draw the graph llowing graphs with the correct function by placing the letter of the graph on the line H 3 f x x 1 E 4 f x x 1 B 5 f 5 f x x 2x 1 q 1 x 1 x 1 b 2 C 1 G 6 f x x 2x 1 x 1 x 1 7 f x x 2x 2 9 1 b 1 C O c 2 8 f x x 2x x b 2 f 1 1 1 1 12 2a 2 1 0 12 x 12 a l 6 2 x 2 a 1 1 1 2 1 2 0 10 f x x 2x 2 x 1 x 2 1 0 x b 2 a x 2 a 22 2 1 1 2 1 3 C O D 9 f x x 2x 20 2 1 f 1 1 1 2 1 1 1 1 1 0 2 0 1 1 1 3 x 1 1

Use the vectors in the figure at the right to graph the following vector 2v u 2w Select the figure with a vector that is equivalent to 2v u 2w O A Q G OB Q www O C Q O D G G

An engineer is reviewing the layout of a solar farm The solar farm shown has 4 small panels 33 medium panels and 32 large panels 6 What expression models the difference between the total area of the large solar panels and the total area of the small solar panels

One root of the quartic equation 3z 4 14z 3 48z 2 3OZ 13 0 is a complex number 2 3i Show that when plotted on an Agrand Diagram the roots of the quartic equation form the vertices of a trapezium and calculate the exact area of the

y 605 622 627 664 650 616 Jse exponential regression to find an exponential equation that best fits this data Give both a and b rounded o at least 4 decimal places Use linear regression to find an linear equation that best fits this data Give both m and b rounded to at least wo decimal places of these two which equation best fits the data Exponential

x y z 0 Submit Question Question 7 0 2 pts 54 Det Find the least squares regression line for the following set of points in R 1 1 6 1 and 1 6 Let the regression line be given by y mx b Enter the values for m and b below

Which of the following is equivalent to the expression below Select all that apply 27y zu log3 3 log y 4log z 4 log u log 27y log zu 3 logg y loga z 4log u log 27y 4 log zu 3 logg y log3 z 4log u

a Evaluate log4 256 without a calculator b Which of the following is equivalent to log4 256 using the change of base property Select all that apply In 4 In 256 log 4 log 256 log 256 log 4 log256 4 In 256 In 4 c Use a calculator on your correct answers from part b Are the answers from part a and part b equivalent O Yes

Let x y z be non zero vectors and suppose w 18x18y 4z If z 3x 3y then w Using the calculation above mark the statements below that must be true A Span w x y Span y z B Span w z Span w x C Span w x Span w y D Span w x y Span w z r 6 x 6 y

Rewrite the following logarithmic expression as one logarithm 9 ln x ln y 16 ln z

Simplify each expression a log a b blog 2 c eln 7 d 10log 3