Algebra Questions

termine the slope of the line containing the given ints Graph the line 2 4 4 2 hat is the slope of the line containing the points 2 4 d 4 2 Select the correct choice below and fill in any swer boxes within your choice A The slope is Type an integer or a simplified fraction B The slope is undefined

Find the quotient by performing long division 3x 10x 12 x 2 3x 10x 12 x 2 11 rem Simplify your answer If there is a remainder type your answer in the form quotient

ity the following expression 3 7 Simplify your answer Type exponential notation with positive exponents Use integers or fractions for

Use the Quotient Rule to simplify All variables are nonzero 4z7w5 2z4w 4z7w5 2 4 3 11

Find the quotient 50n5 60n 30n 10n 50n5 60n 30n 3

Simplify the following expression 4a 5 b 4a 6 3 65 3

Use the quotient rule to simplify 7 8 60x w 36x5w5 7 8 60x w

Click here to watch the video What is the equation of a vertical line that goes through the point 4 0 The equation is Type an equation

4 Find the slope and the y intercept of the line given by equation y 1 x 6 The slope of the line is Type an integer or a simplified fraction The y intercept of the line is Type an integer or a simplified fraction

Find an equation of the line L 10 8 61 40 Q

Graph the line that contains the point P 2 2 and has slope m 0 Find the slope intercept form of the equation of the line Use the graphing tool to graph the line Use the given point to graph the line Click to enlarge graph Write the slope intercept form of the equation of the line that contains the point P 2 2 and has slope m 0 7 Type your answer in slope intercept form 6 104 8 16 14 12 2 14 2 6 18 Pl 40

The slope and a point on a line are given Use this information to locate three additional points on the line Slope 2 point 8 1 Determine three points on the line with slope 2 and passing through 8 1 O A 6 0 10 2 12 3 O B 9 3 7 1 6 3 OC 3 9 1 7 3 6 O D 0 6 2 10 3 12

Simplify each expression a 18b b 18b c 18b a 18b 0 b 18b c 18b 11 Simplify your answer Type an integer or a fracti Simplify your answer Type an integer or a fractio Simplify your answer Type an integer or a fra

Find the quotient and remainder using long division x 4x 32 X X 4 ran TOY x 4x 32 X 4

Find the quotient 22n4 16n 9 2n 22n4 16n 9

Graphing Many years ago a cowboy named Juan Viborin owned a ranch in Northern Mexico This is a very difficult area to live in because the semi desert biome makes up a large portion of this area It is a very dry hot and harsh ecosystem consisting mostly of cacti and desert grasses The types of animals in the food chain here are the kangaroo mouse which eats desert grasses the sidewinder snake which eats the kangaroo mouse and the road runner bird which eats the sidewinder snake This was a very balanced food chain all the organisms had enough room to live and enough to eat Draw one graph of the following information of the animal population over a time period of 10 years You will need to have multiple y axies and be sure to do a line graph and not a bar graph Remember to include the title the labels for the axies and the legend This must be done without a computer on the attached graph paper Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 of Kangaroo Mice 8000 8500 9000 9500 10 000 10 500 11 000 11 500 12 000 12 500 of Sidewinder Snake 11 1500 1400 1300 1200 1100 1000 900 800 700 600 of Road Runner Bird 1024 512 256 128 64 32 16 3 Are the graphs of the population changes linear or exponential 4 2 Questions 1 Why is it necessary to have different y axies for the different populations 2 Discuss why you think the kangaroo mouse population might be increasing md ca P Ha

Simplify the following expression m 5 75 Type your answer using exponential nota

Simplify the expression 4p 4p Simplify your answer Type your answer using exponential

Multiply 2w w 3w 3 2w w 3w 3 Simplify your answer

Multiply 4a b 3a b 8ab 4ab 4a b 3a b 8ab 4ab Simplif

Simplify the expression b 3 b 3b 9 h 3 h 3h 9

Find the product 4x 4x 4 4x 6 Type an expression using x as the variable Simplify your a

Multiply and simplify 6x6y7 8x y 6x6y7 8x y

Simplify the following expression 4 C C

Simplify the expression 3m n 8 3m n 8

Multiply and simplify y8 y6

If u v 0 and v w 0 does that imply that u w 0 Prove or disprove Hint if a claim is true it needs to be proved in general that is for all possible cases But if it is false it can be disproved merely by putting forward a single counterexample

5 m 6 7 8 Registered 9 Not registered Television 38 10 37 11 A sample of 252 adults is selected The adults are classified according to voter registration status registered or not registered They are also classified according to preferred source of current events information television newspapers radio or internet sites The results are given in the contingency table below Newspapers 21 42 12 Radio 21 13 27 Internet sites 24 14 42 15 What is the relative frequency of adults in the sample who are registered to vote and prefer to obtain their information through newspapers Round your answer to two decimal places 16 Charlie Espa ol 17

Amy bought 3 lbs 7 oz of turkey cold cuts and 3 lbs 15 oz of ham cold cuts How much did she buy total You should convert any ounces over 15 into pounds pounds ounces

2 An injection contains 2 mg of medication in each milliliter mL If a physic prescribes a dose of 0 5 mg to be administered to a hospital patient three tin daily how many milliliters of injection will be required over a 5 day period

Solve the following initial value problem On what interval is the solution valid xy y 3 0 y 1 4

1522 customers at a major retailer were surveyed whether or not they made a purchase and were satisfied with the service they received The table below organizes the responses Satisfied with Service Not Satisfied with Service Total Made a Purchase Did Not Make a Purchase Total 130 715 845 Answer 1 pt 494 183 677 624 898 1522 1 c 2 pts What is the probability that a shopper selected at random was not satisfied with the service given that they made a purchase Write your answer as a fraction

Example Grace is making a model of a building that is shaped like a parallelogram The dimensions of the parallelogram in her model are shown What is the area of the parallelogram in Grace s model The segment labeled 4 in is perpendicular to the side labeled 18 in So the base of the parallelogram is 18 in and the height is 4 in You can use the formula for the area of a parallelogram A b h A 18 4 72 10 7 in The area of the parallelogram in Grace s model is 72 in 4 in 18 in Look at the parallelogram in the Example Describe a way to decompose the octangle

Write the following in terms of sin r and cos 2 and then simplify if possible Leave your answer in terms of sines and cosines only cot r tan r

For the following find the discriminant b 4ac and then determine whether one real number solution two different real number solutions or two different imaginary num solutions exist 21 5t 0 What is the discriminant b 4ac 25 Simplify your answer What is the nature of the solution s OA There are two different real number solutions OB There is one real number solution OC There are two different imaginary number solutions

or the following find the discriminant b 4ac and then determine whether one real number solution two different real number solutions or two different imaginary numb olutions exist x 3x 7 0 What is the discriminant b 4ac 19 Simplify your answer What is the nature of the solution s OA There are two different real number solutions OB There are two different imaginary number solutions OC There is one real number solution

Use the graph of f x to find the x intercepts of the graph and the zeros of the function The x intercepts are Type ordered pairs Use a comma to separate answers 10 8 8 Ay 20 16 12 B R

2 1522 customers at a major retailer were surveyed whether or not they made a purchase and were satisfied with the service they received The table below organizes the responses Satisfied with Service Not Satisfied with Service Total Made a Purchase Did Not Make a Purchase Total Answer 1 pt 130 715 845 Reasoning Explanation 1 pt 494 183 677 a 2 ts What is the probability that a shopper selected at random made a purchase given that they were not satisfied with the service Write your answer as a fraction 624 898 1522 b 1 pt What is the probability that a shopper selected at random made a purchase or was satisfied with the service they received Write your answer as a fraction

A car trip took 9 hours at an average speed of 52 mph Mentally compute the total number of miles traveled

Subtract Simplify by collecting like radical terms if possible assuming that all expressions under radicals represent non negative number 3 40x 3 5x4 3 40x 3 5x

f x 2 7x 3 OA for x 7 for x 27 Choose the correct graph below Q Q OB Q O C Q Q O D

Use the laws of exponents to simplify 3 3 3 1 10 3 1 35 3 10 Simplify your answer Type exponential notation with positive

Graph each quadratic equation and identify its sc 2 y x 2x 3 X y

Given that g x a g 8 x 6 find each of the following b g 7 c g 6 g x b in A g x h x h 6 Simplify your answer B g x h does not exist d g 18 75 OA 9 6 Simplify your answer B 9 6 does not exist Oc g 6 is not a real number d Select the correct choice below and if necessary fill in the answer box to complete your choice e g x h g 18 75 2 020 A Type an integer or decimal rounded to three decimal places as needed OB 9 18 75 does not exist Oc g 18 75 is not a real number e Select the correct choice below and if necessary fill in the answer box to complete your choice

5 y x 10x 21

1 The points at which a quadratic equation intersects the x axis are referred to as

Given that g x a g 8 X 7 x 6 A find each of the following b g 7 c g 6 d g 18 75 OA 9 6 Simplify your answer B g 6 does not exist Oc g 6 is not a real number d Select the correct choice below and if necessary fill in the answer box to complete your choice g 18 75 2 020 Type an integer or decimal rounded to three decimal places as needed O A g x h Simplify your answer B g x h does not exist e g x h OB 9 18 75 does not exist Oc g 18 75 is not a real number e Select the correct choice below and if necessary fill in the answer box to complete your choice

In triangle ABC sin 4 0 05 A 12 C OA 66 13 OB 23 87 OC 36 87 n O What is the approximate measure of angle B 52 199 C B

Given that g x a g 8 X 7 X 6 find each of the following O A b g 7 c g 6 d g 18 75 A g 7 0 Simplify your answer OB g 7 does not exist O c g 7 is not a real number c Select the correct choice below and if necessary fill in the answer box to complete your choice OA 9 6 Simplify your answer B 9 6 does not exist Oc g 6 is not a real number d Select the correct choice below and if necessary fill in the answer box to complete your choice OB g 18 75 does not exist e g x h g 18 75 Type an integer or decimal rounded to three decimal places as needed

HOW DO YOU SEE IT Describe the graph of g as a transformation of the graph of f x x 4 6 Ay 4 2 The graph of g is a translation 1 4 unit s down unit s left and of the graph of f