Algebra Questions

5 1 point Solve the quadratic equation x 10x 3 Leave your answers in exact form 0000 x 5 3 x 5 2 7 10 2 7 x 5 7 3

13 1 point Solve the quadratic equation Give your answer s in exact form 2x 8x 5 0 O x 2 104 x 2 6 x frac 4 pm sqrt 26 2 x 4 4 26

14 1 point Solve the quadratic equation y 3y 1 y 3 13 y 3 13 2 Previous 3 7 2 y y 3 5 2

10 1 point Solve the equation 9 10r T 9 or T 10 r 5 14 or r 5 14 T 9 or r r 1 or r 1 00 r 9 9 Previous

1 point The length of a rectangle is 8cm greater than twice its width Find the dimensions if the area is 42cm 3cm x 11cm 21cm x 2cm 6cm x 7 cm 14cm x 3 cm

11 1 point Solve the equation 4y 7 19 write your answer in exact form 000 y 3 y 3 y 6 y 4

1 point The length of a rectangle is 8cm greater than its width Find the dimensions of the rectangle if its area is 105cm 5cm by 21cm 7cm by 15 cm 15cm by 23cm 8cm by 16cm

3 1 point Factor the quadratic expression completely 3x 15x 18 3 x 3 x 2 3 x 6 x 1 3 x 3 x 2 3x 9 x 2

Factor completely x 16 prime x 2 x 2 x 4 x 4 x 4 x 2 x 2

6 1 point Factor completely 49 7 x x x 7 prime 7 x 7 x

1 point Factor completely 3m 82 5 prime w 3x 5 3x 5 x 1 3 x 5 x 1

1 point Fill in the blank 2x 3 x 1 2x x 3 5 5 o wir

1 point Factor the quadratic expression completely 3x 15x 3x 5x 3x x 5 3 2 5 can not be factored

Movie genre Number of participants Comedy 21 245 Action 13 441 Horror 8093 Romance 4553 Thriller 3541 Animation 3180 Drama 2746 Mystery 2385 Fantasy 1951 Western 1518 of participants rounded 29 4 18 6 11 2 6 3 4 9 4 4 3 8 3 3 2 7 2 1 a Give the set of movie genres that were named by 3 to 4 of the participants Use roster form for your set 0 b Give the set of movie genres that were named by more than 8000 participants Use roster form for your set Comedy Romance Thriller Drama Action Western Mystery

1 1 point Is the expression below quadratic 5x 5c2 18 True False

se the Distributive Property to remove the parentheses in the following expression 7 m 5 m 5 Simplify your answer Goods

Give the numerical coefficient of the term 9

Determine the coefficient of the term 6x The coefficient is

Identify the terms in the following algebraic expression 8ab 7bc 2ac ac Which of the following are the terms of the expression O 8ab 7bc 2ac ac O 8ab 7bc 2ac ac O 8ab 7bc 2ac ac OO O 8ab 7bc 2ac ac

Equation y 50x 200 Y Constant Ratio Difference X 0 1 2 3 4 y 200 150 100 50 0 Exponential or Linear 456 1 50

In the order of the data given in the following table write a system of linear equations in terms of C and D Ex 1 2 C Ex 5 C C C D D D D 3 21 24 4 y 105 6 265 8 292 8 125 4

doso wor 1000 101 aquis2 siulquos wod2 sanojensvoo c 3 3 exact x 36 97 15dmonton 0 00359

Solve and graph the solution set 8x 3 5x 9 The solution set is x

Find the zero of the linear function f x x 6 The zero of the function is

3 Write the equation for the graph The correct equation is 6

Students were asked to simplify the expression sece cose Two students work is given sece Student A Step 1 sece cose Step 2 sece sece Step 1 cos8 1 1 cos8 Step 3 1 cos20 Student B Step 4 sin2e Step 2 Step 3 1 Cose sece cos 8 1 cos e cose sece sin e cos e Step 4 tan 8 All changes Part A Which student simplified the expression incorrectly Explain the errors that were made or the formulas that were misused 5 points Part B Complete the student s solution correctly beginning with the location of the error 5 points

Find the equation for the circle with a diameter whose endpoints are 4 3 and 5 1 Write the standard equation for the circle Use integers or fractions for any numbers in the equation

7 1 point When solving this quadratic equation 5m 8m 1 you would get m 4 II True False

1 point Originally a rectangle has dimensions 12in by 8in If both sides are increased by the same amount the area is doubled Find the new dimensions Hint Let x the amount your are increasing each side by 8 in by 24 in 14 in by 10 in 16 in by 12 in 4 in by 48 in

Solve the quadratic equation 36x 40 9 write your answer in exact form x 7 36 x 49 6 x 3 x 7 or x 6

1 point Solve the quadratic equation x 6x 6x 13 Write your answer in exact form a 3 2 22 no solution x 3 22 a 6 4 22 2 2

5 1 point Solve the quadratic equation 2 x 5 18 x 5 3 2 x 8 a 8 x 2 or or OT OT x 5 3 2 x 2 x 8 x 2

2 1 point Solve the quadratic equation 2 14x 48 0 O x 6 or x 8 a 12 or or x 3 a 7 4 3 or x 7 4 3 x 6 or x 8

1 5 1 point Solve the equation 7 9 10r r 9 07 r 9 or r 10 r 9 or 1 r 5 14 or r 5 14 r 1

10 1 point Factor completely 49 2 7 x 7 x 7 x x x 7 prime

8 1 point Factor completely 25x 4 prime 52 2 2 2 5 x 2 x 2 52 2 5

6 1 point Factor completely 4y y 3 4y y 3 y 1 4y 3 000 prime 4 y 3 y 1

2 1 point Is the expression below quadratic 3x 5y 2 True False Previous

7 1 point Fill in the blank 2x 3 x 1 2x 3 5 oc 0 5 3

5 1 point When factored 22 6x 5 becomes x 6 x 1 True False

Fill in the blank 2 15x 56 x 7 x 08 0 6 000 6 8

Factor the quadratic expression completely 3x 15x 3x 5x O can not be factored 3 z 5r 3x x 5

1 1 point Select all of the following that represent quadratic expressions 2x 5 3x 2x 000 x x 1 x 2 x 1

Americans trust in government and the media has generally been on a downward trend since pollsters first asked questions on these topics in the second half of the twentieth century Trust in government hit an all time low of 14 in 2014 while trust in the media bottomed out at 32 in 2016 The bar graph shows the percentage of Americans trusting in the government and the media for five selected years Use this information to answer parts a c SILE a Use the information in the graph to estimate the yearly loss in the percentage of people trusting in government The yearly loss in the percentage of people trusting in government is Round to the nearest tenth as needed The model predicts the percentage of people trusting in government will be in 2024 Type an integer or decimal rounded to the nearest tenth as needed Percentage 70 60 50 40 30 20 10 b Write a mathematical model that estimates the percentage P of people trusting in government x years after 2003 The mathematical model P estimates the percentage P of people trusting in government x years after 2003 Use integers or decimals for any numbers in the expression Use the answer from part a to answer this part c If the trend shown by the data continues use the mathematical model from part b to project the percentage of people trusting in government in 2024 Trust in media Trust in Goverment 55 35 31 47 44 19 18 40 41 16 2003 2007 2011 2015 2019 Q Q 5

Use the distributive property to remove the parentheses 8 5x 6y 8 5x 6y

You may wish to write code to answer these questions If p is a prime and g is an integer from the set 1 2 p 1 we say that g is a companion of p when ga mod pa e Z and 1 a p 1 2 p 1 1 Find all of the companions of 11 Justify your answer 2 Describe how you would go about proving or disproving the following statement 104651 is prime and 24578 is a companion of 104651 3 Let s be an integer such that 1 s 104651 and 24578 mod 104651 3190

Identify the type of fallacy in this statement The game has not even started and I already know our team will lose Select the correct answer below O ad hominem O genetic fallacy hasty generalization

x 3 3 for x 1 for for f x x 3 4 Find f 3 1 x 2 x 2

2 SALES A street vendor is selling T shirts outside of a concert arena The colors and sizes of the available T shirts are shown in the table The vendor selects a T shirt that is blue or large

point et a 5a and find the values below 1 f 2a 10a 5 2 2f a 10a 5 3 f a 25a 10 4 f a 25a 10