Algebra Questions

Simplify completely O x 23 Ox 23 Ox 8 Ox 8 x 15x 56 X 7

Simplify 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

Simplify 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

Simplify completely OX 3 5 OX 12 5 O xX 6 5 x 18 x 15x 36 5 60

Simplify completely Ox O 3x O X 6 6 O X 18 6 3x 18 18

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

x 4 x 4x 9x 36x 4 x 4 a 9ab 20b a 8ab 7b a 7b a 8ab 16b

x 5x 24 x 6x 9 8x 8x 12 a4 64 a a b a 2ab b 3

25 x 5x4 x 5 x4 5x 10 2b 9a 81a 2 4b 1 9a b

2x 200 4x 40x 1 7x 21 x 7x 30 6 10 3a a 60b 75b5 5a b 10a

6x5 x 11x 18 15x x 7x 18 8 a ab 12b 2a 7ab 3 16a 8b 12

Evaluate 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

Which 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

The 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

Given 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

Consider 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

nger 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

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

3 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

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

6 9 11 13 31 A 288 B 272 C 260 D 256 E 240

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

Be 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

Let 21 O a 5 cos i sin z2 4 cos isin and w 2 22 Find Arg 3w 4T

Solve 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

Find mZX X Y mZX 2 3

Find m2B D 4 C m B 11 Lear

Write 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

Listen 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

The 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

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