Algebra Questions

11 x y zEN x y z x 2y 3z 28 t min x y A 20 B 19 C 18 D 1

3 Solve the equation 9x 116 3 DC 3 13 0 13 13 13 0 13 3 O 13 13 11 53Enter all real soluti

15 24 12 X 16 2x 3

9 2 x 4 6 11 10 3x 1 10 6 10 x 12 2 10 4x

3x 5 12 J15 45 5 3 2a 10 20 10 10 0 Solve the following equations showing all work 2 4 2s 12 4 X 5 8 4 10 3x 4 3x 4 70

Find an equation of the circle that has center 6 2 and passes through 3 6 3 0 0

13 3 4 4 36 15 24 12 14 3 x 9 16 2x 5 13

12 4 2z 6 20

40 Extension 4 X 2 4 X d 2 2 16 12

Find an equation of the circle whose diameter has endpoints 5 3 and 3 3 0 X 8 S

Find an equation of the circle that has center 6 2 and passes through 2 6 0 0 3 X 0 0

Solve the equation in degrees for all exact solutions where appropriate Round approximate answers in degrees to the nearest tenth Write answers using the least possible nonnegativ measures 3 sin 0 3 cos 20 What is the solution set OA 30 360 n 120 360 n 270 360 n where n is any integer B 0 360 n 150 360 n 240 360 n where n is any iteger c 30 360 n 150 360 n 270 360 n where n is any integer O D 0 180 n 120 180 n 240 180 n where n is any integer

Consider the first six terms of this sequence 2 7 12 17 22 27 What is the common difference in this sequence 02 3 5 5 7

Find an equation of the circle whose diameter has endpoints 5 1 and 2 3 0 1 8 0 0 6

Given that the sequence is arithmetic a31 126 i e the 31st term is 126 and the common difference is 4 find a i e the 1st term 09 2 091 4 091 6 a 12

Consider the recurrence relation a 4 a 1 Which table of values could represent a partial sequence described by the relation 1 5 9 13 17 21 4 16 64 256 1024 4 10 17 25 34

Find the unknown angles in triangle ABC for each triangle that exists B 155 9 c 8 7 b 15 4 Select the correct choice below and if necessary fill in the answer boxes to complete your choice OA There are two possible sets of remaining angles The measurements for when A is larger are A and C The measurements for when A is smaller are A Round to the nearest tenth as needed OB There is only one possible set of remaining angles The measurements for the remaining angles are A Round to the nearest tenth as needed OC No such triangle exists and C 0

Review What could be the next step in solving the following equation for x 3x 4 5x 2 x Subtract an x from each side of the equation Add 2 to both sides of the equation Combine the like terms 5x and x on the right side Subtract 4 from both sides

5 10 2 X 2 x 2 7 3 11x 19 6 5 3 2x 8 10 5x 15

Find the unknown angles in triangle ABC for the following triangle if it exists A 27 7 b 43 7 ft a 27 7 ft SLEE Select the correct choice below and if necessary fill in the answer boxes to complete your choice Round to the nearest tenth as needed O A There are two possible sets of remaining angles The measurements for when B is smaller are B C OB There is only one possible set of remaining angles The measurements for the remaining angles are B OC No such triangle exists and C The measurements for when B is larger are B and C 0

Review What would be the next step in solving the following equation for x 2x 3 6 Divide both sides of the equation by 2 Multiply both sides of the equation by 2 Add 3 to both sides of the equation Subtract 3 from both sides of the equation

1 X 2 10 4 3 2 4x 10 Independent Practice 2 2x3 5 4 4 x 5 11

3 x 4 10 12 4 10 x 2 1

Extension 4 x 2

Which graph shows all of the values of x that make the following statement true 4 64 O 3 3

1 X 1 4 2 Partner Practice Solve for the unknown in the following equations 2 2 4 X 3

Solve the following equation for x 3 10 71 O Ox 2 x 4 X 1 x 8

Solve the following equation for x 3 243 In the blank list only the solution just the number only

An exponential function is of the form f x a c which is shown in the graph Which of the following must be true of the parameter c c 0 Oc o Occo 0 Oc 1 asymptote f x

Find the exact value of the expression tan arcsin Jestion 7 of 20 mus po This question 5 point s in Type an exact answer using radicals tan arcsin

A exponential function shown below is of the form d x b c 5 4 Lop d x 2 1 3 1 122 2 to 1 2 3 4 5 Which of the following is true about the parameters of d x b c The parameter b must be 2 b 2 The parameter b must be 1 b 1 The parameter c must be 2 c 2 The parameter c must be 1 c 1

Which function is modeled in the table f x 1000 800 640 512 X 1 2 3 4 f x 1000 0 80x 1000 0 20x 1000 0 80 X 1 1000 0 20 X 1 O

What is the y intercept of the function f x 2 3 Oy 2 Oy 3 Oy 4 Oy 5

the values of 0 for which 2 sec Ocos 20 is defined 2 sec Acos 2A

31 1 i Find the quotient 31 and express it in rectangular form by first converting the numerator and the denominator to trigonometric form Type your answer in the form a bi Use integers or fractions for any numbers in the expression

If log 3 19 and log 2 12 then evaluate the following expression In 9 In 16 In b In b 07 037 0 10 086 05

A WLAN is required to have the minimum Eb NO of 10 dB in an indoor offi c environment The background noise at 2 4 GHz is 120 dBM If the transmit power is 20 mW and there is no line of sight NLOS between the AP and mobile terminals what is the coverage of the AP Assume a data rate of 1 Mbps and channel bandwidth of 0 5 MHz Use the joint technical commitee JTC path loss model in which for NLOS conditions in the indoor offi ce environment path loss at the first meter A is 37 7 dB and path loss exponent is 3 3 Assume power loss from the fl oors to be 1 dB and a shadow effect of 10 dB

6 Solve the system of equations 3x 2y z 4 10 x 3y 4z 7 a 2x y 2z b

1 Solve for x and simplify the answer a 6x 2x 3 0 b

8 When you fold a piece of paper in half once you have 2 regions If you fold a paper in half twice you have 4 regions a Explain in words what happens to the number of regions each time you fold the paper in half b How many times do you have to fold a piece of paper in half to get 64 regions c Write an equation for r the number of regions if you fold a paper in half k times d Write an equation for k the number of times you must fold a paper in half to get r regions e Which of your two equations could you use to figure out the answer in part b

discuter en fonction des param tres ventuels 2x b y z x 2a y z x 6a b y 6a b z

A red cross helicopter takes off from headquarters and flies 75 km at 55 degrees south of west There it drops off some relief supplies then flies 80 km at 25 degrees west of north to pick up three medics If the helicoper then heads directly back to headquarters find the distance and direction it should fly Give your answers rounded to one decimal place Distance 77 7 Direction 81 8 x km x degrees North of West

An elm tree that is 6 meters tall casts a shadow 8 meters long If a nearby redwood tree is 12 meters tall how long will the redwood tree s shadow be Write your answer as a whole number or a decimal Do not round

The function graphed on this coordinate grid shows f x the height of a dropped ba in feet after its xth bounce bounce 1 bounce 2 Height of Ball feet hounce 3 f x 25 20 15 10 5 Number of Bounces On which bounce was the height of the ball 10 feet 2 X

The credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes The remainin credit after 22 minutes of calls is 26 92 and the remaining credit after 48 minutes of calls is 23 28 What is the remaining credit after 57 minutes of calls

Solve the system by substitution 4x 7y 3 9y 27 2x O A OB O C O D 57 81 3 3 25 25 81 25 81 25 33 50 297 50 81 57 25 25 25

1 9 16 x y 36 OA G OB quantes Q G O C O D

Graph the solution set of the system of inequalities x 2y22 x y 0 O A O LY OB Q 5 O C Q Ly OD E E P

4x 52 5x 3 OA 8 00 4 13 12 OC 4 11 10 6 9 5 100 7 92 9 2 OB 8 13 12 11 OD 4 00 9 8 10 9 6 5 8 7 64 6 2 5

Graph the circle x y 6 4 O A O G O B 10 Q O C 10 Q X Q O D IKD X