# Algebra Questions

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Algebra

Quadratic equationsSimplify completely x 2 X 9 x 10X 24 x 3x 108 X 2 x 9 x 2 X 9 x 12 X 9 X 2 OX 2 x 2 x 9 X 9 y 9 y 12 and find the restrictions on the variable

Algebra

Permutations and CombinationsSimplify completely 12 X 7 O 12 X 7 x 7 x 3 O X 3 X 7 X 7 x 3 12x 36 x 4x 21 X 7 and find the restrictions on the variable

Algebra

Complex numbersMultiply Simplify the Rational Expressions x 49 6x3 8x2 x 7x 2 a b ab a4b a b ab

Algebra

Permutations and CombinationsEvaluate each expression using the graphs of y f x and y g x shown below a gof 1 b gof 0 c fog 1 d fog 4 a gof 1 Simplify your answer y g x 6 d 13 y f x 8 10

Algebra

Quadratic equationsWhich function below has an asymptote at y b f x a b c g x c b a Oh x b a c k x a c b

Algebra

Complex numbersThe function f x 2x 3 is graphed at the right Determine the y intercept for the function f x which is shown O 1 5 0 O 2 0 0 3 0 2 6 5 4 3 f x 2x 3 2 1 S 3 2 1 F 1 n 2 Asymptote y 3

Algebra

Complex numbersGiven the function f x 3 1 determine the average rate of change from x 0 to x 2 O 2 9 9 2 4 14

Algebra

Complex numbersConsider the function w x 3x 2 As x determine w x i e As x approaches w x w x co Ow x 2 w x 3 negative infinity what does w x approach

Algebra

Quadratic equationsnger 1 Should a golfer try to hit the ball long or hit it straight off the tee Recent golfers have been able to hit the ball thanks to better equipment However this extra distance can come at the price of not being as accurate as to where the ball lands Below is data for ten golfers average driving distance yards and driving accuracy Percent where driving distance impacts the driving accuracy 260 163 Driving Distance Driving Accuracy 246 82 Miles 22 Price 266 72 XMonth January Feb Precip 4 45 254 4 01 76 Missing 0 1 Grade 90 91 March 3 26 264 1 96 71 44 14 600 a Write the linear regression equation of your line b Use your equation to predict the price for a car driven 40 thousand miles a Write the linear regression equation of your line g x 0 53 210 30 x b Use your equation to predict the driving accuracy for an average driving distance of 260 yards 8 260 2 Is there an association between the price of a used car and the number of miles it has been driven The table shows the number of miles driven 1 000 s and price for a sample of Honda CR V s 40 40 43 36 38 30 18 000 16 500 15 000 14 000 2 85 p 40 3 The table shows the monthly normal precipitation P in inches for San Francisco CA April May 1 17 256 3 83 73 0 38 268 50 15 000 6 89 66 June 0 11 270 65 July 0 03 248 75 8 13 83 76 54 56 70 70 14 500 12 000 13 600 14 600 p x 85 90x 18777 98X August Sept 0 07 0 20 Oct 14 79 1 40 248 81 Let x represent the month with x 1 corresponding to January Find an appropriate quadratic regression model for the data 3 4 Do students with more missing assignments have lower grades in math Below is data for an Algebra 1 class showing how many missing assignments the student has and their grade in the class 7 18 68 64 53 246 Nov a Write the linear regression equation of your line g x b Use your equation to predict the grade for a student who has ten missing assignments g 10 77 2 49 86 11 000 Dec 2 89 20 25 25 28 32 33 55 52 46 51

Algebra

Complex numbers13 In the from Find expansion of x a X3 constant the beginning the value of a the 7th tem term 10

Algebra

Complex numbers3 In In the the exponsion Ax yY terms IS of x y 3 Find 1 ore of the the value of A 3 8 A 5

Algebra

Matrices & DeterminantsFind QR R Q 5 S Write your answer as an integer or as a decimal rounded to the nearest tenth QR

Algebra

Sequences & Series5 In the expavion Coefficient is C 1 of 2x ay 4 Find 64 sum of the the value of a a 3

Algebra

Quadratic equationsBe sure to fully justify your responses when appropriate Round percentages proportions to 4 decimal places and values of confidence interval bounds to 2 decimal places Don t forget Units anytime you give a non probability number and use complete sentences when asked to interpret your confidence intervals 1 4 pts If we are given the confidence interval 36 1 39 5 estimating the average number of credits earned by students in their third term of school What are the sample mean and margin of error for this confidence interval

Algebra

Complex numbersSolve the right triangle Q R 66 Write your answers as integers or as decimals rounded to the nearest tenth PR PQ m P P O

Algebra

Complex numbersWrite the coordinates of the vertices after a dilation with a scale factor of 4 centered at the origin 10 8 d M 2 L 104 8 6 4 2 2 4 8 N 2 4 6 8 X 10

Algebra

Complex numbersListen Find the area of the given triangle Round numbers to the nearest tenth where appropriat b 12 cm c 13 cm O a 5 cm 32 5 cm 30 cm none of these 28 5 cm

Algebra

Quadratic equationsThe given equation represents a conic section nondegenerative case a Use rotation of axes to eliminate the xy term to write the equation in the form A x2 C y2 D x E y F 0 b Write the equation in standard form and sketch the graph x 6xy 9y 9 10x 17 10y 90 0

Algebra

Quadratic equations3 Solve the equation 9x 116 3 DC 3 13 0 13 13 13 0 13 3 O 13 13 11 53Enter all real soluti

Algebra

Complex numbers3x 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

Algebra

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

Algebra

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

Algebra

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

Algebra

Complex numbersSolve 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

Algebra

Complex numbersConsider 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

Algebra

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

Algebra

Complex numbersGiven 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

Algebra

Complex numbersConsider 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

Algebra

Quadratic equationsFind 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

Algebra

Complex numbersReview 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

Algebra

Sequences & SeriesFind 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