Quadratic equations Questions and Answers

Complete the sentence If the solution to a system of two linear equations containing two unknowns is x 3 y 2 then the lines intersecta If the solution to a system of two linear equations containing two unknowns is x 3 y 2 then the lines intersecta

Solve the system of equations If the system has no solution say that it is inconsistent 4x 5y 19 5 x y 2 Select the correct choice below and if necessary fill in any answer boxes within your choice OA The solution of the system is x OC and y Type integers or simplified fractions OB There are infinitely many solutions Using ordered pairs the solution can be written as x y x Simplify your answer Type an expression using y as the variable as needed The system is inconsistent y any real num

Determine if the values of the variables listed are solutions of the system of equations 2x 2y 4z 8 x y z 0 3y 5z 14 x 1 y 1 z 2 1 1 2 Is 1 1 2 a solution of the system of equations O No OYes

Solve the system of equations If the system has no solution say that it is inconsistent x 3y 9 3x 9y 27 Select the correct choice below and if necessary fill in any answer boxes within your choice OA The solution is x and y Type integers or simplified fractions OB There are infinitely many solutions Using ordered pairs they can be expressed as x y x Simplify your answer Type an expression using y as the variable as needed OC The system is inconsistent y any real numb

Solve the system of equations If the system has no solution say that it is inconsistent Graph the lines of the system 5x 10y 5 16x 8y 6 Select the correct choice below and if necessary fill in any answer boxes within your choice OA The solution is x and y Type integers or simplified fractions OB There are infinitely many solutions Using ordered pairs they can be expressed as x y x y is any real number Simplify your answer Type an expression using y as the variable as needed OC The system is inconsistent

Determine if the values of the variables listed are solutions of the system of equations 4x y 11 6x 2y 7 x 2 y 3 2 3 Is 2 3 a solution of the system of equations No Yes

LLL 4 11 11 1111 LLLLLLL 1111111 11 11 AVTTTTIVIT 11111111 10 VA I L I Y J A 1111111 11111 1111111 1111 111 1 0 17 4 111 On a print out of this slope field sketch the solutions that pass through the points 1 0 0 2 3 1 3 1 0 om you sketch what is the equation of the solution to the differential equation that passes through 1 0 y

Use the box method to distribute and simplify 6x 2 x 2 Drag and drop the terms to the correct locations of the table 6x 2 x 2

If B x 7x 4 and C x 9 find an expression that equals B 20 in standard form

Determine the domain and range of the function using the graph below 15 Domain Range x Sus 1 14 13 12 10 9 8 7 6 5 4 3 2 H 12 W A 46 6 7

If A 2p 7 and B p 3p 5 find an expression that equals A 3B in standard form

If A m standard form 9m and B 1 9m find an expression that equals 2A Bin

Given the function below evaluate f f x 6 5 4x 5 44

For the equation f x x 2 a Complete the table f x x 0 1 4

Select 5 4 3 2 0 5 4 3 2 5 4 3 2 2 4 3 NO 123 2 4 S 5 4 3 2 1 2 23 3 7 S 123 1 2 3 a

Use synthetic division to find the result when a 3x 11x 14x 7 is divided by a 1 If there is a remainder express the result in the form q x r x b x

Use the graph below to fill in the missing values 4 3 2 1 1 1 f x 2 0 f x 0 x f 0 3 f r 0 x 4

Write an expression for the apparent nth term a n of the sequence 1 2 1 4 1 8 1 16 dots

An experiment is given together with an event Find the modeled probability of each event assuming that the dice are distinguishable and fair and that what is observed are the numbers uppermost 2 36 Two dice are rolled the numbers add to 13 X

1 point Find y as a function of t if 50y 6y 2y 0 y 0 2 y 0 3 y t Note This problem cannot interpret complex numbers You may need to simplify your answer before submitting it

Each circle counts as one whole Write a mixed number giving the amount shaded Then write this amount as an improper fraction a Mixed number b Improper fraction 0 0 8 08 X S

Question 8 of 17 Step 1 of 1 Identify the correct graph of th

find domain g x 2 O inf 2 O inf 2 and 2 inf O 2 inf O none of these answers Question 5

Question 52 of 60 4 Sam invests 1 600 in a bank The amount of money in his account increases at a constant rate each year The table below shows the amount in Sam s account after each year Which linear function best models the given data Ofix 1 800x 200 Ofix 200x 1 600 Of x 200x 1 600 Ofix 1 800x 200 Ofix 1 600x 200 1 2 3 4 5 6 Amount 1 800 2 000 2 200 2 400 2 600 2 8 Year

ACT PREP MATH PARI Question 50 of 60 A researcher surveyed 200 people from various age groups asking if they like action movies The results of the survey are shown in the table below What percentage of the people in the 31 40 age range responded yes O 44 O 60 O 67 O 40 O 11 Yes Responses No Responses Ages Ages Ages 10 20 21 30 31 40 31 16 23 17 21 14 Ages 41 50 24 20 Ages 51 12 22

Exercise 5 4A Algo Effect of inventory cost flow FIFO LIFO and weighted average on gross margin LO 5 1 The following information applies to the questions displayed below The following information pertains to Mason Company for Year 2 Beginning inventory Units purchased 100 units 22 326 units 33 Ending Inventory consisted of 34 units Mason sold 392 units at 66 each All purchases and sales were made with cash Operating expenses amounted to 3 075 Exercise 5 4A Algo Part b What is the amount of net Income using FIFO LIFO and weighted average Ignore Income tax considerations Round cost pe unit to 3 decimal places and other Intermediate answers and final answers to the nearest whole dollar amount Net Income

Anna Garden recently opened her own basketweaving studio She salls finished baskets in addition to selling the raw materials needed by customers to weave baskets of their own Unfortunately owing to space limitations Anna is unable to carry all varieties of kits originally assembled and must choose between two basic packages The Basic Kit includes undyed uncut reeds with dye included for weaving one basket This basic package costs Anna 18 and sells for 32 The second kit called Stage 2 includes cut reeds that have already been dyed With this kit the customer need only soak the reeds and weave the basket Anna produces the Stage 2 kit by using the materials included in the Basic Kit Because she is more efficient at cutting and dying reeds than her average customer Anna is able to produce two Stage 2 kits in one hour from one Basic Kit She values her time at 28 per hour The Stage 2 kit sells for 41 a1 Your answer is incorrect Prepare an incremental analysis for the Anna s basketweaving studio Enter negative amounts using either a negative sign preceding the number eg 45 or parentheses eg 45 Sales per unit Costs per unit Direct materials Direct labor Total S S Sell Basic Kit 12 0 11 Process Further Two Stage 2 Kits 22 8 Net Income Increase Decrease 1111

The movement of the progress bar may be uneven because questions can be worth more or less including zero depending on your answer The perimeter of a rectangle is given by the formula P 2w 21 where w is the width and I is the length Rearrange the formula for the length 7 1 1 P w 0 1 P w O 1 2P 2w 0 1 1 P

5 Solve each system of equation 72 7x 12y 180 7x 84 a b 16y 4x 4x 27y 11

Match each relationship on the right with the correct description on the left Direct variation Indirect variation Joint variation Clear The time it takes to complete a race decreases as the speed of the runner increases The cost of a bag of apples is based on the cost of one apple and the total number of apples in the bag The cost of a package of meat increases as the weight of the meat in the package increases Click and hold an item in one column then drag it to the matching item in the other column Be sure your cursor is over the target before releasing The target will highlight or the cursor will change Need help Watch this video

The movement of the progress bar may be uneven because questions can be worth more or less including zero depending on your answer The formula for the volume of a pyramid is V Bh where B is the area of the base and h is the height Rearrange the formula to solve for the area of the base B B B 3V h B h 3V 3h O B 3 V 3h Save and close

Subtract State the difference in simplest form 7 4m O O 371 3 4m 3n 7m 3m 3mm 4mm an be worth more or less including zero depending on your ans 21 16m 12mm

Multiply State the product in simplest form a 3a 15g 10 9 20 3049 443 dress pricluding zeral depending on yo

ACT PREP MATH PART ACT Math Test 1 Edition Question 40 of 60 Gary is driving a car along a straight road at a uniform speed The following table shows the number of miles he travels every hour How many miles does Gary travel in one hour O 240 miles O360 miles O120 miles O 60 miles O480 miles Next Reset Hours Number of Miles Tr 2 120 4 240 6 360 8 480

A three digit number is selected at random What is the probability that the digit in the ones place is a 2 O O O O 100 25 50 200 10

Question 55 of 60 Consider the partitioned line segment below Which ratio of segment lengths is equivalent to the ratio 2 1 O QR RS O PS SU O ST TU O RS ST O PQ SU

If c d which of the expressions below is equivalent to Id cl O c d O d c O d c O c O d c

Question 51 of 60 What is the simplest form of the expression below O 384 O 284 2 O 192 2 O 192 3 O 180 2 D

hree consecutive even integers add up to 156 hich is the smallest of the three numbers 52 48 56 54 50

Question 53 of 60 The equations for two lines in the coordinate plane are 2dx y 4 and 6x y 3 where d represents an unknown value What value s of d would make these lines paralle Od 2 Od 4 Od 3 Od 3 Od 0

The following problem involves directions in the form of bearing which we defined in this section Remember that bearing is always measured bom a north south line A boat leaves the harbor entrance and traveis 29 miles in the direction N 42 E The captain then tums he boat 90 bost from the harber entrance and what is the bearing of the boat from the harber entrance see the figure below mi distance bearing N 29 mi 37 mi and travers another 17 miles in the direction that one now fw is the Round your answers to the nearest whole number

May be uneven because questions can be worth more or less including zeroj depending on your Rewrite log using the properties of logarithms log a 3 log c log b O3 log a 3 loge log b log a log c log b log a 3 log c log b

The equations for two lines in the coordinate plane are 7dx y 8 and 4x y 9 where d represents an unknown value What value s of d would make these lines perpendicular Od 28 O d 1 1 Odz 1 Od Od 0

Question 57 of 60 A line containing the points 9 3 and 21 p has a slope of What is the value of p 05 06 08 07 09

Mark can make 9 pancakes in 15 minutes and Charlotte can make 42 pancakes in 45 minutes Working together how many minutes would it take to make 138 pancakes

Question 58 of 60 4 The height of a plant is y centimeters after x days The data below shows this relationship Which grid has the best x axis and y axis scales to present this data O O 40 30 20 10 y 0 40 Y 30 20 10 0 10 20 30 40 Day 2 Heigh

Two trucks are being used to pull a stump out of the ground One truck pulls with a force of 2040 pounds and the truck pulls with a force of 3947 pounds The angle separating them is 22 What is the magnitude of the resulting force Round to the nearest pound Just find the magnitude not the direction

What is the surface area of the above composite object made out of a rectangular prism and a cube O 256 in O 512 in O 288 in O 192 in O384 in

Question 56 of 60 Consider square PQRS on the coordinate plane below What is the perimeter of square PQRS O 24 units 20 units O40 units O 16 units O 32 units 16 9 3 30

Solve each of the following equations using the Principle of Zero Products and match it to its correct pair of solutions on the right Each pair on the right will be used once 3x 2 2x 1 0 2x 3 3x 1 0 3x 2 2x 1 0 2x 3 3x 1 0 Clear or x X or x 1 orx 1 X X 1 x or x IN 1 3 Click and hold an item in one column then drag it to the matching item in the other column Be sure your cursor is over the target before releasing The target will highlight or the cursor will change Need help Watch this video