Algebra Questions

5 20 of the books in a book shelf are mysteries 30 are science fiction and the rest are historical fiction If there are 10 mysteries on the shelf how many historical fiction books are there

3 If there are 20 students who are late to school on Monday 15 students who are late to school on Tuesday and 25 who are late to school on Wednesday what is the percent increase in tardiness from Tuesday to Wednesday

2 If there are 20 students who are late to school on Monday 15 students who are late to school on Tuesday and 25 who are late to school on Wednesday what percent of lateness oc curred on Tuesday

4 The average American family of 4 uses 400 gallons of water each day To try to save water the Smith family plans to only use 250 gallons of water a day By what percentage are they de creasing their water consumption

A single die is rolled twice The 36 equally likely outcomes are shown to the right Find the probability of getting two numbers whose sum is 8 First Roll The probability of getting two numbers whose sum is 8 is Type an integer or a simplified fraction Second Roll 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6

3 At a supermarket the hourly pay was 14 before increasing by 1 50 to 15 50 What is the percent increase in the amount of money that an employee at the supermarket would earn

Points 0 of 1 A fair coin is tossed 2 times in succession The set of equally likely outcomes is HH HT TH TT Find the probability of getting a head on the first toss The probability of getting a head on the first toss is Type an integer or a simplified fraction

Question 10 11 4 21 The probability of getting one tail is Type an integer or a simplified fraction Points 0 of 1 A fair coin is tossed three times in succession The set of equally likely outcomes is HHH HHT HTH THH HTT THT TTH TTT Find the probability of getting exactly one tail

0 of 20 points The probability that the pointer lands in a red region is Type an integer or a simplified fraction Use the spinner shown to answer the question Assume that it is equally probable that the pointer will land on any one of the colored regions If the pointer lands on a borderline spin again If the spinner is spun once find the probability that the pointer lands in a red region O Points 0 of 1 br red yellow blue brown red Save red blua low brown

Points 0 of 1 Use the spinner shown to answer the question Assume that it is equally probable that the pointer will land on any one of the colored regions If the pointer lands on a borderline spin again If the spinner is spun once find the probability that the pointer lands in a blue region The probability that the pointer lands in a blue region is Type an integer or a simplified fraction green red yellow Save yellow red green

A single die is rolled twice The 36 equally likely outcomes are shown to the right Find the probability of getting two numbers whose sum exceeds 18 First Roll Second Roll 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 The probability of getting two numbers whose sum exceeds 18 is Type an integer or a simplified fraction

A 10 sided die is rolled Find the probability of rolling an odd number The set of equally likely outcomes is shown below 1 2 3 4 5 6 7 8 9 10 The probability of rolling an odd number on a 10 sided die is Type an integer or a simplified fraction

A 12 sided die is rolled The set of equally likely outcomes is 1 2 3 4 5 6 7 8 9 10 11 12 Find the probability of rolling a 7 The probability of rolling a 7 is Type an integer or a simplified fraction

Use the graph of the function f to solve the inequality a f x 0 b f x 0 X x 2 Q G C a The solution set for f x 0 is 1 0 U 2 00 Type your answer in interval notation b The solution set for f x 0 is Type your answer in interval notation

Determine where the graph of f is on or below the graph of g by solving the inequality f x g x Graph fa together f x x 1 g x 8x 8 The graph of f is on or below the graph of g over Type your answer in interval notation

Solve the inequality algebraically x 6 X 3 The solution is

Solve the following inequality 3 x 11x 0

Solve the inequality R x 0 where R x using the graph of the function X 4 0 Q x 3 by x x 4 The solution set for R x 0 is Type your answer in interval notation

Solve the inequality f x 0 where f x x x 2 by using the graph of the function N Q The solution set for f x 0 is Type your answer in interval notation

Use the graph of the function f to solve the inequality a f x 0 b f x 0 X x 2 a The solution set for f x 0 is Type your answer in interval notation

Determine whether the following statement makes sense or does not make sense and explain the reasoning 1 I find it easier to multiply and than to add them 5 3 4 Choose the correct answer below SOA 3 The statement does not make sense Adding and only requires adding the numerators and denominators Multiplying requires rewriting the numbers with the least common denominator 1 5 4 O B The statement does not make sense The fractions cannot be added because they have different denominators 1 3 OC The statement makes sense Multiplying and only requires multiplying the numerators and denominators Adding requires rewriting the fractions with the least common denominator 5 4 OD The statement makes sense The fractions cannot be added because they have different denominators

Multiply 192 90 0 192 90 0

1 12 1 12 4 69 4 Simplify your answer Type a whole number or a fraction

Click here to watch the video Subtract the fractions 7 88 78 Enter your answer as a fraction 85 45 4 5 Simplify your answer

Subtract and simplify 7 8 7 8 5 8 5 8 Simplify your answer Type a fraction

11 HW When the student wrote Determine whether the following statement makes sense or does not make sense and explain the reasoning 5 5 2 10 E 6 6 2 12 Choose the correct answer below Question 7 R2 2 117 fff9 the student is not changing the value of because the student is multiplying by 1 GREEN OA The statement does not make sense because the numerators of 12 5 6 10 and are greater than 1 HW Score 0 O Points 0 of 1 OB The statement makes sense because the student multiplied the numerator and denominator of 5 6 by the same nonzero number 2 5 10 and are less than the denominators 12 6 OC The statement makes sense because the numerators of OD The statement does not make sense because 5 10 and 6 12

Find the product and write it in lowest terms 6 5 7 4

Perform the indicated operation If possible reduce the answer to its lowest terms 3 7 4 11 3 4 7 11 Simplify your answer Type a whole number fraction or mixed number III Next que

Click here to watch the video Multiply the fractions and reduce to lowest terms 4 4 9 9 X Enter your answer in lowest terms 18 16 18 16 Simplify your answer

Write the fraction in simplest form 180 210 180 210 Type a whole number or a simplified fraction

Partner Practice 1 The price of an item was 500 one week and then decreases to 350 What was the percent decrease 500 350 C X X 100 X C 500

Analyze the graph of the function 4 2 R x X X 8 2 x 49 a What is the domain of R x O A xlx 7 and x 7 O B x x 0 O C xlx 0 and x 7 and x 7 O D All real numbers b What is the equation of the vertical asymptote s of R x Select the correct choice below and fill in any answer boxe A x 7 7 Use a comma to separate answers as needed Type an integer or a fraction B There is no vertical asymptote

Analyze the graph of the function 2 x X 12 R x 2 x x 6 B There is no horizontal or oblique asymptote d Choose the correct graph for R x below O A 8 6 4 3 2 Q B 8 6 4 22 3 2 Q O C 8 6 13 2 Q Ly O D E

2x 7x 3 x 9 defining the rational function R using the following piecewise defined function Use this approach as a model to redefine the rational functions in parts a and b The graph of the rational function R x R x 2x 7x 3 x 9 5 6 R x if x 3 if x 3 a Redefine the function R x x 3x 18 x 6 x 3x 18 X X 6 3 37 Therefore the graph of R is discontinuous at has a hole at the point C so that the discontinuity at x 3 is removed This discontinuity could be removed

Which rational function has the given graph A O C R x R x x 2 X 2 x 9 x 2 X 2 X 9 NA O B O D R x 2 2 x 9 R x 2 x 2 X 9

Analyze the graph of the function 4 2 X x 8 R x 2 x 49 200 16 1 16 OB There is no horizontal or oblique asymptote d Which graph shown below is the correct graph for R x O A O B Q j 16 400 16 Q O C 16 I I 200 1 16 Q O D 160 x 7 16

Suppose you attend a fundraiser where each person in attendance is given a ball each with a different number The balls are numbered 1 through x Each person in attendance 1 places his or her ball in an urn After dinner a ball is chosen at random from the urn The probability that your ball is selected is Therefore the probability that your ball is not X 1 chosen is 1 Graph 1 X A 1 Graph P x 1 P x 0 0 20 40 60 Q 1 using transformations 1 AY 0 20 40 60 Q 1 Ay 0 20 40 60 1 0 0 20 40 60 Comment on the likelihood of your ball not being chosen as x increases Choose the correct answer below O A The likelihood of your ball not being chosen decreases very quickly and approaches 0 as the number of attendees x increases O B The likelihood of your ball not being chosen increases very quickly and approaches 1 as the number of attendees x increases OC The likelihood of your ball not being chosen increases very quickly and approaches above 1 as the number of attendees x increases The lib ll Q

Analyze the graph of the function R x OC 24x 35x 49 2 3x 25x 42 xXx 0 X 7 x 7 and x 6 0 OD All real numbers A b What is the equation of the vertical asymptote s of R x Select the correct answer boxes within your choice X Use a comma to separate answers as needed Type an integer or a frac OB There is no vertical asymptote

Analyze the graph of the function 2 x X 90 2 x x 72 R x OC xlx 0 x 10 x 9 and x 8 OD All real numbers b What is the equation of the vertical asymptote s of R x Select the correct choice below a answer boxes within your choice A x Use a comma to separate answers as needed Type an integer or a fraction

Analyze the graph of the function 3 x 27 H x 2 x 100 A x 10 10 Use a comma to separate answers as needed Type an integer or a fraction OB There is no vertical asymptote c What is the equation of the horizontal or oblique asymptote of H x Select the correct choice below any answer boxes within your choice O A y Simplify your answer OB There is no horizontal or oblique asymptote

Simplify the complex rational expression using Method I or Method II x 10 x 10 x 13 X 5 1 5 X 5 X 10 x 10 x 13 X 5 5 X 5 1

Simplify the complex rational expression using either Method I or Method II s 81 2 S s 9 2 s 81 2 S S 81 S S 9 1 s 9

1 Let f x 2x 1 and g x Find f g x f g x fg x and f g x Simplify your answer VEU x Give the domain of each

Simplify the complex rational expression using Method II X 1 X X 6 X 4 5 x 1 X 6 1 X x 4 5 X 6

Let f x 3x 4 and g x 2x 7 Find f g x f g x fg x and 6 f g x Simplify your answer x Give the domain of each

The light vehicle market share in percent in a particular country for pickup trucks is shown in the graph Let x 0 represent 1995 x 4 represent 1999 and so on a Use the points on the graph to write equations for the line segments in the intervals 0 4 and 4 8 b Define this graph as a piecewise defined function f x Percent Ay Pickup Truck Market Share 45 43 0 424 41 39 37 35 33 31 1995 1997 4 39 7 8 32 1 1999 2001 2003 Year Q a The equation for the line segment in the interval 0 4 is y 0 675x 42 4 Simplify your answer Use integers or decimals for any numbers in the expression The equation for the line segment in the interval 4 8 is y Simplify your answer Use integers or decimals for any numbers in the expression

If f x graph g x f x 3 5 Show ALL Intermediate graph s X Show your vertical and horizontal asymptotes utr 13 2 stat bet3 2 3 Domain Range 9 2 2413 15 K Complete the Chart for f x F x 18 10 1 XER 2 4 YEP Y 1 expe x 3 5 2 De Complete the Chart for g x f x 3 5 XER 2 2 1YER 38221 Domain Range Vert Asymptote

le write an inequality to represent the scenerio and solve Write a complete sentence to describe your solution 1 Keith has 500 in a savings account at the beginning of the summer He wants to have at least 200 at the end of the summer He withdraws 25 per week for food clothing and movie tickets How many weeks can Keith withdraw money from his account 2 A taxi charges a flat rate of 1 75 plus an additional 0 65 per mile If Erica has at most 10 to spend on the cab ride how far could she travel 2

Step 3 Defining your variables 2 pts Identify your independent and dependent variables using appropriate symbols to state them Let the independent variable represents the time in years and the dependent variable represents the cost in dollars variable T time years Independen Dependent variable P Dollars Step 4 Average rate of Change 4 pts Compute the average rate of change per year of the cost over each time period Just fill in the result don t show the calculation X Time Line Price dollars Y 1970 0 20 1980 0 50 2003 2 00 2009 2 25 2013 2 50 2015 2 75 2009 2013 10159 Average rate of change XXXXXXXXXXXXX t 0 0 03 0 06 5 00 4 6 0 12 Do these values suggest a linear trend Explain Yes because the table shows a Positive trend Over time as well as the rate of approximately the same slupe Change Step 5 Linear Modeling 6 pts Assuming that the trend is linear generate a linear model To make the calculation easier rescale the time values for 2009 through 2015 in the above table Let 2009 be the year 0 y axis X ans P dollars 2 25 2 50 2 75 S

Zemember A B 8123 C 0 6201 Football Team Points 337 44 7 8 7 4 7 8 Which data set below is represented by the stem and leaf plot Key 113 13 points 8 6 12 13 14 17 20 23 24 27 28 30 37 38 8 The Key for this stem and leaf plot tells you each stem represents the tens value and the leaves represent the ones value for each data value represented by the plot 6 12 13 14 17 20 23 24 24 27 28 28 28 30 37 38 0 1 2 3 6 2 3 4 7 0 3 4 4 7 8 8 8 0 7 8