High School Algebra Questions

8 1 point If point x y is reflected over the line y x the resulting point is y x True False

x 45 10 Explain why it does not matter which point you choose when writing the equation of the line in point slope form given two points

A line passes through 1 3 and has slope 2 Find an equation of the line Explain your steps Step y y m x x y 3 2 x 1 y 3 2 x 1 Written Explanation Use the point slope form Substitute 1 for x 3 for y and 2 for m Simplify inside grouping symbols

TN Write an equation in point slope form of the line that passes through the given points 7 4 0 and 2 1 4 0 24 6 x 4 8 3 2 and 5 3 9 5 1 and 3 4 not matter which point you choose when writing the

Write the equation in point slope form of the line that passes through the given point with the given slope 4 2 1 m 3 6 4 11 m 2 5 3 5 m 2

Houghton Mifflin Harcourt Publishing Company 1 Which statement correctly identifies the end behavior of the graph 2 10 8 6 10 8 6 8 X As x approaches co y approaches o and as x approaches 00 y approaches 0 As x approaches y approaches 0 and as x approaches o y approaches 0 As x approaches 0 y approaches and as x approaches 00 y approaches o As x approaches y approaches o and as x approaches o y approaches o 437 A translation 8 units up translation left 8 units translation right 8 units translation 8 units down The function f x x is transformed to obtain the graph of the related function g x x 8 Which of these correctly describes the transformation to g x 3 The graph of function f x is shown 8 5 20 X B 10 8 6144 10 3 5 81 6 4 6 8 10 Which statement correctly describes the domain and range of the function xx E R f x f x 7 xx E R f x f x 7 x x 7 f x f x R D x x 7 f x f x R 4 6 8 10 8 6 4 The function f x x is transformed to obtain the graph of the related function g x using a vertical stretch by a factor of 9 Graph the function g x 10 8 6 4 20 2 43 x 6 8 10 What transformation occur here Make a table with original fix values and X new X g x valves

10 5 10 1 0 5 10 5 What is the excluded value for this function X 10

10 5 5 0 5 10 S X 10 What is the equation of the horizontal asymptote

Which inequality represents the solution set shown on the given number line 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Ox 8 0x 8 Ox 8 C 00

Each of Jimmy s kittens weighs less than 10 7 ounces at birth If k represents the weight of a kitten would the following inequality be true or false regarding this situation 10 7 k O True O False

Which of the following is a solution to the inequality 3 5y 21 09 06

Admission to the town festival is 5 Each activity costs 2 Rema has 21 to spend at the festival She writes the inequality 5 2a 21 to represent how many activity tickets a she can purchase at the festival Which value is a solution to this inequality 08 O 10 O 12 13

Which of the following would be a solution to the inequality x 1 5 04 05

Small moving containers can hold no more than 25 pounds If w represents the weight of the container which inequality shows the weight that a small moving container can hold w 25 Ow 25 w 25 Ow 25

1 point The mean of a set of normally distributed data is 600 with a standard deviation of 20 What percent of the data is between 580 and 620 50 34 68 95

1 point The number of hours that college students sleep on a week night is approximated by a normal curve with a mean of 7 hours and a standard deviation of 1 7 hours Answer the question below using a z table About what proportion of students sleep less than 5 hours on a week night round to whole number About 16 About 32 About 24 About 12 Ne

n 3 2 2 2 Additional Practice Point Slope Form Graph the line that represents each linear equation 1 y 2 2 x 3 2 y 3 2 x 1 7 4 0 and 2 1 170 1 6 Write the equation in point slope form of the line that passes through the given point with the given slope 4 2 1 m 3 6 4 11 m 3 5 3 5 m 2 2 4 Y 0 x x enVision HW Write an equation in point slope form of the line that passes through the given points 8 3 2 and 5 3 3 y 1 x 5 9 5 1 and 3 4 10 Explain why it does not matter which point you choose when writing the equation of the line in point slope form given two points 11 Members of the student council are conducting a fundraiser by selling school calendars After selling 80 calendars they had a loss of 360 After selling 200 calendars they had a profit of 600 Write an equation that describes the relation between y the profit or loss and x the number of calendars sold How much profit did they make from selling each calendar How much would they have lost if they had sold no calendars

Point Slope Form Point slope form y y m x x An equation of a line can be written in point slope form given any point on the line and the slope of the line Support Problem A line passes through 1 3 and has slope 2 Find an equation of the line Explain your steps Step y y m x x y 3 2 x 1 y 3 2 x 1 Step y y m x x y 4 x 3 y 4 x 3 Written Explanation Use the point slope form Substitute 1 for x 3 for y and 2 for m Simplify inside grouping symbols Exercises A line passes through 3 4 and has slope 1 Find an equation of the line Explain your steps Written Explanation

4 1 point What is the range of this data set 18 20 22 11 19 18 18 12 10 18 11 Previous

3 1 point What is the interquartile range of the data set 456 234 567 123 345 567 890 567 234 277 5 289 5 567 Previou

7 1 point What is the median of the stem and leaf plot shown Stem Leaf 3 4566 4 5688 5 234 6 0234 52 48 46

14 1 point Identify a potential source of bias if any DA Using random digit dialing 1599 people were called and asked what obstacles such as childcare kept them from exercising Source Yankelovich Partners Inc for Shape Up America No source of bias Maybe they don t have children Not asking enough people Using the word obstacles

13 1 point What is the population of the following scenario Mrs Doe wants to determine if Coca Cola really fills its cans with 12 ounces of Coca Cola She randomly selects 100 cans of Coca Cola and measures the number of ounces in each can She finds the average of the 100 cans of Coca Cola to be 12 01 ounces 12 01 ounces in a can of Coca Cola 100 cans of Coca Cola All cans of Coca Cola 12 ounces in a can of Coca Cola Next

17 1 point What is the sample in the following scenario Mrs Doe wants to determine if Coca Cola really fills its cans with 12 ounces of Coca Cola She randomly selects 100 cans of Coca Cola and measures the number of ounces in each can She finds the average of the 100 cans of Coca Cola to be 12 01 ounces 12 ounces in a can of Coca Cola 12 01 ounces in a can of Coca Cola All cans of Coca Cola 100 cans of Coca Cola 000 0 Next

16 1 point Which type of study contains a treatment Sample Survey Observational Study Experiment Previous

3 3 4 5 6 7 18 15 1 point Which data is quantitative Ethnicity Length of employment Type of Pets owned Rent or own home Previous

11 1 point Normal distribution models what type of variable random continuous variable random variable Odiscrete random variable discrete continuous variable Previous

12 1 point The mean of a set of normally distributed data is 600 with a standard deviation of 20 What percent of the data is between 580 and 620 95 68 DED 50

8 1 point The finishing times of two runners for several one mile races in minutes are shown in the box and whisker plots Runner 1 65 75 is Runner 2 Based on the box plots runner 1 has a faster median time True False

10 1 point The total area under the normal distribution curve is equal to a probability of 99 8 Can t tell because it is infinite O O 0 100

5 1 point What is the range of the data set 97 85 92 86 7 O 12 Q 11 5

4 1 point What is the IQR of the set of the data below 95 92 96 93 94 95 93 2 94 5 4 Previous

6 1 point What is the interquartile range of the data set 456 234 567 123 345 567 890 567 567 289 5 277 5 234

3 1 point What is the mean of this data set 38 52 54 48 40 32 22 O O O 44 50 11 Previous

1 1 point What is the median of this set of data 65 84 73 45 56 55 49 88 92 55 61 121 60 5 60

2 1 point John has earned a 77 76 and 84 on his first three projects of the semester If he hopes to have an B quiz average 80 or above what is the lowest score John can make on his fourth and final project 90 0000 He cannot earn a B project average 86 83

11 3 2 m through the point 0 6

1 m 4 Y Y through the point 0 4 2 m Y Y Y Y M

Let f z 3x 5z 1 and g z 2r 1 f g f g fxg Type your answer without spaces Use for the exponents For example 72 22 7x 4 2x 3 Type your answer without spaces Use for the exponents For example 72 2x 7x 4 2x 3 Type your answer without spaces Use for the exponents For example 72 2r 7x 4 2x 3 What is the domain for all of these operations on functions POS Type your answer in interval notation without spaces use inf for infinity For example 2 inf

Which expression does NOT have a Greatest Common Factor 042 9 O 3x 12x 6 O2z 18 O 6x 22 5x

Factor Completely 42 6x 16x 24 O z 2i z 21 2x 3 0 2 z 2i z 21 2x 3 0 2 z 2i z 2i 2x 3 0 2 z 4 2z 3

Factor Completely 4x 6x 16x 24 O2 21 21 2x 3 02 2 4 2 3 O 21 21 2x 3 O2 x 21 21 2x 3

Factor Completely 31 75 O 3 x 5 x 5 03 x 5 x 5 03 x 5 5 03 2 25

Which expression does NOT have a Greatest Common Factor O 6x 222 5x O 3x 12 6 042 9 O 2 18

Factor Completely 6x 18 60 06 x 2 x 5 O 6x x 2 x 5 06 x 2 x 5 O x 2 x 5

Question 3 4 Ov NEXT y 3x 4x 3 y 2x 10 Match the system of equations below with the correct solution y 2x 4x 3 y x 10 y 2x 4 y 2x 4x 4 y x 2 2x 4 y 2x 8 y x x 12 y x 8x 16 BOOKMARK DRAG DROP THE ANSWER X No solutions Infinitely Many Solutions 1 9 3 5 13 5 4 0 Q 4 4 12 1 2 TUT

The following data were collected about a student s study time and the grades on their test 1 7 3 2 2 1 3 3 0 5 2 75 1 1 83 95 80 91 60 87 75 Hours Grade 2 3 85 4 25 93 B Quadratic 2 78 Does this data follow a linear or quadratic or exponential model A Linear

02 06 MC Show all work to solve 3x2 5x 2 0

Show all work to solve 3x 5x 2 0

A Include one expression that contains rational exponents that can be simplified further Provide the simplified form to your instru B Include one expression that contains radicals that can be simplified further Provide the simplified form to your instructor Question 2 Rewrite in simplest radical form 5 Question 3 Which of the following expressions are equivalent Justify your reasoning A B C X 10 XX 1 3 3 D XXX 1 1 3 2 Show each step of your process