Algebra Questions

Identify all possible quadrants of an angle 0 that satisfies the given conditions tan 0 0 cos 0 0 Select all possible quadrants below A Quadrant I B Quadrant IV C Quadrant II D Quadrant III

5 ka a a Find a A a a 9 a a B a 1 D a a

11 12 13 14 Identify the domain and range of each 9 y 2 x 10 y 4 x 16 Detais 26 Demais All real murders Range All real mambers

Identify the quadrant s of an angle 0 that satisfies the given conditions sin 0 0 csc 0 0 Choose the correct answer below O A II OB II and III OC III and IV OD II and IV

Question 10 1 4 15 Use the appropriate reciprocal identity to find the exact value of cot 0 for the given value of tan 8 tan 0 4 cot 8 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

9 B a 964 m 36 20

sin 20 cos20 1 Is the statement possible or impossible OA The statement is impossible because sin 20 cos20 1 is an identity B The statement is possible because sin 0 cos 0 1 is an identity OC The statement is possible because sin 20 cos20 1 is an identity D The statement is impossible because sin 20 cos 20 and sin 021

Question 1 1 4 3 Select the correct choices that complete the sentence below For an angle 8 measuring 105 the trigonometric functions tan 8 and HW Score 0 0 of 25 points O Points 0 of 1 are positive and the remaining trigonometric functions are negative

Decide whether the statement is possible or impossible sin 0 0 and csc 0 0 Is the statement possible or impossible OA The statement is possible because sin 0 is always positive OB The statement is impossible because csc is always negative O c The statement is impossible because sine and cosecant always have opposite signs OD The statement is impossible because sin 0 is always negative O E The statement is possible because csc 0 is always positive OF The statement is possible because sine and cosecant always have the same sign

Decide whether the statement is possible or impossible tan 0 8 and cot0 8 Is the statement possible or impossible OA The statement is possible because tan 0 cot 0 1 cot 0 OB The statement is impossible because tan 0 O c The statement is impossible because tan 0 cote OD The statement is possible because tan 0 1 cot 0

sin a whether the statement is possible or impossib 1 IN 2 and csca 2 Is the statement possible or impossible O Possible O Impossible

Choose the correct graph below A Sketch an angle 0 in standard position such that has the least possible positive measure and the point 5 12 is on the terminal side of 8 Then find functions for 0 8 X 18 Part 2 of 7 E OB 18 1 3 17 A sin 0 Simplify your answer Type an integer or a fraction OB The function is undefined 9 K 16 G 18 x 4 G Select the correct choice below and if necessary fill in the answer box to complete your choice HW Score 84 92 15 29 of O Points 0 of 1 OC 18 99H

11 M n Houn sait od mod odi dip P mbbelo olg EL s P 51 20 124 m

27 a 13 m c 22 m

9 cot 183 48

19 cot 90 4 72 9 cot 90

27 9 cot 0 1 257551e

According to her doctor Mrs Brooks s cholesterol level is higher than only 15 of the females aged 50 and over The cholesterol levels among females aged 50 and over are approximately normally distributed with a mean of 240 mg dL and a standard deviation of 20 mg dL What is Mrs Brooks s cholesterol level Carry your intermediate computations to at least four decimal places Round your answer to one decimal place mg dL X E O

A local real estate company has 5 real estate agents The number of houses that each agent sold last year is shown in the bar graph below Using this bar graph answer the questions Number of Houses Sold 12 10 8 6 4 2 Maria Ari Bob Agent a Which agent sold the most houses O Maria Nadya O Ari How many houses did that agent sell house s b How many more houses did Maria sell than Ari more house s O Bob Liz Nadya c How many agents from the company sold at least 12 houses agent s O Liz

31 cos 0 0 70058013

an 1 47397 8

13 csc 317 36

5 sin 38 42

Ryan has scored 95 67 and 66 on his previous three tests What score does he need on his next test so that his average mean is 79 0

At a price of 2 21 per bushel the supply of a certain grain is 7300 million bushels and the demand is 7500 million bushels At a price of 2 26 per bushel the supply is 7700 milion demand is 7400 million bushels A Find a price supply equation of the form p mxb where p is the price in dollars and x is the supply in millions of bushels B Find a price demand equation of the form p mx b where p is the price in dollars and x is the demand in millions of bushels C Find the equilibrium point D Graph the price supply equation price demand equation and equilibrium point in the same coordinate system A The price supply equation is p 0 000125x 12975 Type an exact answer Use integers or decimals for any numbers in the equation 6 The price demand equation is p 0 0005 5 96 Type an exact answer Use integers or decimals for any numbers in the equation C The equilibrium point is 7460223 Type an ordered par Type an exact answer Use integers or decimals for any numbers in the expression D Choose the correct graph below 1000 CH 2000 OC 7000

na poll students were asked to choose which of six colors was their favorite The circle graph shows how the students answered If 6000 students participate the poll how many chose Purple Green 7 Red 10 Blue 13 Orange 21 Pink 10 Purple 39 00 X

9 cot 90 4 72

2 cot 183 48

I X 1059 CX b B and c method 2 b 5 a 3 b 5 and 8 59 Degrees a 5 b 3 Assume the missing angle to be 3 Solve for the missing c and values in three different methods don t be afraid to include drawings a B and c method 1 a 3 Teelb

A large multiplex movie house has many theaters The largest theater has 49 rows There are 19 seats in the first row Each row has three seats more than the previous row How many total seats are there in this theater There are seats in the theater

12 The shaded region represents the number of pounds of peanuts x and pounds of pecans y that a company plans to use in their trail mix List three combinations of peanuts and pecans that they can use in their recipe and three combinations that they cannot use Lesson 1 09 CAN USE CANNOT USE 40 35 30 25 5 20 15 10 5 0 o S 10 15 20 25 30 35 40 45 50 55

Solve graphically 1 x 4 1 x Graph y1 4 and y2 1 x using the graphing Click to enlarge

Solve graphically x 2 2x 4 Graph y x 2 and 2 2x 4 using the graphing tool Click to larg

Graph the system of inequalities Show at least two points for each inequality Lesson 1 08 y 2 5x y x 4 y s 3 x 10 8 6 4 2 10 CO 6 4 2 2 4 6 8 10 NI and and and 4 6 8 10

7 Graph the inequality Label at least two points and Lesson 1 07 6x 2y 8 10 8 6 4 2 10 8 6 4 2 2 4 6 8 10 2 4 LO 6 8 10

A stack of logs has 17 logs on the bottom layer Each subsequent layer has 3 fewer logs than the previous layer If the top layer has two logs how many total logs are there in the pile How many logs are in the pile

10 Graph the system of inequalities Show at least two points for each inequality Lesson 1 08 y 4x 8 and and 1 y 322x 10 8 6 4 2 4 6 8 2 O 10 8 10 6 4 2 4 6 8 10

2 Camila has 7 less than 4 times Mateo s number of Pok mon Trading cards The sum of their Pok mon Trading cards is greater than 51 What is the least number of Pok mon Trading cards Mateo can have Round to the nearest whole number Lesson 1 02

6 Solve for x Lesson 1 06 1 6x 10 8 or 3x 6 12

Modern car company has come out with a new car model Market analysts predict that 4 300 cars will be sold in the first month and that sales will drop by 90 cars per month after that during the first year Write out the first five terms of the sequence and find the number of sold cars predicted for the twelfth month Find the total predicted number of sold cars for the first year a The first five terms of the sequence are Use a comma to separate answers

3 Write the interval notation for this compound inequality Explain why parenthesis brackets etc Lesson 1 05 x 4 or x 8

5 Solve for x Lesson 1 06 4 2x 6 12

A stack of logs has 52 logs on the bottom layer Each subsequent layer has 10 fewer logs than the previous layer If the top layer has two logs how many total logs are there in the pile How many loy the pile

1 What is the solution to the system of linear equations Lesson 1 02 6x y 14 2x y 2

Find three consecutive integers whose sum is 585 Hint if n represents the smallest of the three integers n 1 and n 2 represent the other two numbers Answer How to enter your answer opens in new window Keypad Keyboard Shortcu

Find the indicated 14 14 i 4 6 41 i 4 6 4 Simplify your answer

Find the indicated sum 10 6j 4 j 1 10 6j 4 j 1 Simplify your answer

Solve the equation below by graphing Find all of the solutions Try it with your graphing calculator and also try to graph by hand z 51 x 3 X X

E Solve the following formula for the indicated variable 11 8 V X A a v vo 2ax solve for a

State the interval over which function is increasing and interval of which function is decreasing 7 y x 2 4 48 16 14 2 2 M W 6 X 9 10 8 y 3 x 1 8 6 4 22 4x ZOC