Algebra Questions

Lucas is walking on a circular path modeled by the equation x 6 2 y 5 2 36 and Neal is walking on another circular path modeled by the equation x 9 2 y 5 81 where their distances are given in meters What is the maximum distance between the walkers at any given time O 15 meters 20 meters 25 meters O 30 meters

Not yet answered Marked out of 1 50 4 Find Ay reaction A O a 2 KN O b 0 KN O c 4 KN O d 1 KN 2 m 4 kN 2 m B 2 m 2 kN

Consider the expression 7 31 Which statement below is true about the expression A The expression 7 31 is an imaginary number B The expression 7 3i is a complex number where 7 is the real part and 31 is the imaginary part of the expression C The expression 7 31 is a complex number where 3i is the real part and 7 is the imaginary part of the expression D The expression 7 3i is not a number in the set complex numbers

4 Factor the trinomial x x 72 A X 8 x 9 B x 9 x 8 C x 2 x 36 D x 36 x 2

32 Use the table below to evaluate i A 1 B 1 C i D I P 1 P A P i 1 f 1

QUESTION 1 The function f x x 3 0000 is a power function is not a power function O is a polynomial O is not a polynomial

5 Factor 4x 81 A 4 x 9 x 9 B 4x x 81 C 2x 9 D 2x 9 2x 9 Recall a b a b a b

2 Which of the following numeric expressions is a complex number A 2 B 41 C 5 21 D All of the above

4 3 1 5 4 3 2 3 4 The function graphed above is Increasing on the interval s Decreasing on the interval s

Plot the set in the complex plane z z 1 2i 5

5 Diagonalize the matrix below Describe the eigenspace of each eigenvalue 3 2 4 1 2 2 7 1 3

How many distinct four digit numbers can be formed by the digits 1 2 3 4 5 5 5 8 6 Select one DOO a 560 b 840 C 360 d 606 e 280 f 486 9 650

The Median of the following data is 16 5 Marks Frequency 1 8 9 16 6 17 24 2 25 32 7 33 40 1 Total 20 4 Select one True False n

Arithmetic mean of the following frequency distribution is 5 find the value of X Variable frequency 6 DO X 1 X 1 X 1 2X 5 Select one O X 1 O b No enough information to compute value of x X 4 d X 3 e X 2

if a sample space for a random experiment is given by Q a 9 93 and P is the probability function such that P a P az P a P a 3 P a find P as Select one 5

for the following 15 13 6 5 12 50 22 70 18 Q3 36 Select one O True False

if X 30 100 j 1 then the sample mean will be Select one a 40 b 60 0000 c 30 d 50

The value of Correlation Coefficient od values 5 Select one O a 0 80 b 0 92 d 0 904 3 14

if the following table is the probability distribution of random variable X X 0 1 P X X 0 1 Then the mean of X i e E X is Select one 2 0 4 b 4 75 C 1 85 3 0 25 4 0 05

Assuming the Sample of 1000 student assuming the following mark quartile Q1 9 83 Q2 15 22 Q3 27 93 Then Interquartile Range IOR is Select one a 1000 b 15 22 C 18 1 d 75

Assuming the linear regression equation is V 4 5 0 35 x Then the regression estimate at x 6 Select one O O T b 2 1 c 6 6

n 14n 45 2

Y 3 357x 41 44 0 2230x 66 21

y mx b Each table represents a linear function Find the slope and the y intercept Write the slope as a proper or improper fraction in simplest form or an integer Then write the equation in slope intercept form 1 3 5 x 0 1 2 3 X 0 1 2 X 6 3 3 0 y 6 9 12 15 y 4 1 2 5 y 8 3 2 7 slope y intercept equation slope y intercept equation slope y intercept equation 2 4 6 x 6 4 2 0 X 4 6 0 2 s 0 2 3 1 y 15 14 12 13 29 39 7 y 6 8 9 19 5 y Where m is the slop slope y intercept equation slope y intercept equation slope y intercept equation

8 m 8m 20

9 7 WRITE A LINEAR EQUATION FROM THE SLOPE AND A POIN Keep going In each problem you ve been given the slope of a line and a point on that line slope and point to write the equation of the line in slope intercept form 3 5 Equation Slope 5 Point 6 23 Equation Equation Slope Point 4 1 Equation Slope 9 Point 2 15 Slope Point 5 10 8 10 6 4 Equation Equation Date Slope 4 Point 3 16 Slope Point 18 17 Equation Slope Point 9 7 Equation Slope Point 6 7

10 m 14m 45

1 n n 12

3 x 17x 72 2

2 x 6x 40 2

6 x 16x 60

7 v 2v 3

0 12r 32

5 96 36 2

p 11p 24 2

2 5b 44b 60 2

8 10n 19n 15

D 10r 3r 18

96 7 8n 45n 18

9 9r 7r 2

6 7n 48 7

4 9p 92p 20

3 8m 9m 14

1 7x 71x 10

glass has circular cross sections that taper linearly from a radius of 4 cm at the top of the glass to a radius of 3 cm at the bottom The glass is 15 cm high and full of orange juice How much work is equired to drink all the juice through a straw if your mouth is 6 cm above the top of the glass Use 1000 kg m for the density of orange juice and 9 8 m s for the acceleration due to gravity Find the cross sectional area A y of a horizontal slice at y Use the center of the bottom of the glass as the origin in your coordinate system Choose the correct answer below OA A y y 0 45 B A y x y 0 45 15 OC A y y 0 45 OD A y x y 0 45 15 Set up the integral that gives the work required Use the center of the bottom of the glass as the origin Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choice Type exact answers OA SO OB JO CE dy dx

A phone company charges its customers 50 or the first 500 minutes used each month For any additional minutes used over the 500 the customer is charged an additional 10 per minute Find the piecewise function that describes this situation O 50 1m m 500 m 500 O f x f x f x 50 f x 50 50 1m 50 50 m 500 m 500 50 1 m500 f50 1 m 500 m 500 m 500 m 500 m 500

1 What is an Assimilation 2 Who are some famous people throughout history who were assimilationists 3 What is Nationalism 4 Who were some people throughout history who were Nationalists 5 Which one assimilationist Nationalist Ideology do you agree with Why 6 What are the benefits if any of Nationalism List some explain 7 What are the benefits if any of assimilation 8 What are the benefits of the American dream Problems Work cannot be Private co Add comment

c In ADEF find the measure of all missing sides if ZD 63 ZE 47 and d 8 cm

1 Ethan throws a toy soldier with a parachute into the air from a balcony The path of the soldier can be modelled by h t 5 7t 18 where the height h t is in metres and the time t is in seconds a When will the soldier hit the ground 2 marks b How long will the soldier be above 15 m 2 Given f x 5x 3 and g x x 5 a Evaluate f 1 b Evaluate g 4 c Evaluate f 1 g 4 2 marks 1 mark 1 mark 1 mark

Given that g x a g 8 X 5 X 8 find each of the following b g 5 c g 8 d g 17 75 e g x h