Questions

A manager is comparing the cost of buying baseball caps from two different companies Company X charges a 50 fee plus 7 per baseball cap Company Y charges a 30 fee plus 9 per baseball cap For what number of baseball caps will the cost be the same at both companies and how much will it cost Write the two equations It will cost for

A total of 330 children and adults attended a school play There were 21 times as many children in attendance as there were adults How many children and adults attended Write the Equations Find the number of adults Find the number of children

For the holiday season Brookfield Zoo will be setting up for Holiday Magic its annual lights festival Bob s job is to set up lights on various bushes and trees On Monday Bob used 44 strands of light to decorate 2 bushes and 3 trees On Tuesday Bob used 56 strands of lights to decorate 5 bushes and 3 trees Assuming all bushes and all trees are decorated with the same amount of lights how many strands of light did Bob use on each Let x strands of lights on bushes Let y strands of lights on trees a Create Equation 1 which represents the amount of lights used on Monday Equation 1 b Create Equation 2 which represents the amount of lights used on Tuesday Equation 2 c Solve for x X d Use your x value to solve for y y e Bob used strands of lights for each bush and strands of lights

2 1 2 1 2 3 4 3 2 1 0 1 2 1 2 3 10 0 O 1 2 2 3 3 4 4 4 5 5 6 6 7 DRAG DROP THE ANSWER 2 1 6 1 No Solution 0 3 Infinite Solutions 2 3

12 The basketball team sold t shirts and hats as a fund raiser They sold a total of 23 items and made a profit of 246 They made a profit of 10 for every t shirt they sold and 12 for every hat they sold Determine the number of t shirts and the number of hats the basketball team sold Enter the number of t shirts in the first response box Enter the number of hats in the second response box

What two numbers have a sum of 217 and a difference of 85 Note Write you answer in order from highest to lowest Ex 10 and 8 and

Which graph represents the system of inequalities y 2x 1 y 3x 5 2 2 3 3 5 2 4 S N 2 3 4

Two times Antonio s age plus three times Sarah s age equals 34 Sarah s age is also five times Antonio s age How old is Sarah and Antonio Sarah is years old and Antonio is years old 3

Solve by substitution or elimination by subtraction or addition 4x 15y 17 4x 20y 52

What is the solution to the system of equations below Hint Solve using substitution 5x y 5 I 7y 1

Directions Solve the system X y 2x 3y 1 y x 1

What is the probability that person chosen at random prefers math and econ Math Econ 130 100 90 A 0 889 B 100 0 278 D 0 611 40

An equilateral triangle and an isosceles triangle share a common side What is the measure of ZABC The measure of ZABC is B A 70 D C

Find the values of m and n The value of mis 7 mo 122

stem of inequalities linear inequalities 8 6 B C 4 A 7z 14y 0 8 6 0 61 8 2 is graphed Which region below represents the solution to the system of 4 D 6 M 8

Which choice shows a set of data that could be represented by the box plot shown below 0 5 10 A 1 3 5 6 6 8 13 14 19 20 B 1 2 3 5 7 8 8 13 19 20 1 5 5 6 6 6 8 13 19 20 15 20

3 If ax y and y 28 when x 2 what is the value of y when x 3 given that a is a constant 4 If y ax 5 a is a constant and y 15 when x 2 what is the value of x when y 40

The box plot shows the heights of grade 7 students in two random samples from two different schools The sample item from each school is 30 of the student population School A School B B Heights of Grade 7 Students 4 Based on the box plot which comparison is true Grade 7 students from School A are typically shorter than grade 7 students from School B because of the difference in the interquartile ranges of grade 7 student heights at the schools D 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 Height inches Grade 7 students from School A are typically shorter than grade 7 students from School B because of the difference in t medians of grade 7 student heights at the schools Grade 7 students from School A are typically taller than grade 7 students from School B because of the difference in th interquartile ranges of grade 7 student heights at the schools Grade 7 students from School A are typically taller than grade 7 students from School B because of the difference in medians of grade 7 student heights at the schools

27 Which choice shows a set of data that could be represented by the box plot shown below 0 5 10 A 1 3 5 6 6 8 13 14 19 20 B 1 2 3 5 7 8 8 13 19 20 1 5 5 6 6 6 8 13 19 20 13567 7 8 13 10 20 15 20

1 A drawer contains 3 black socks 6 white socks 1 green sock and 10 blue socks Determine the probability of randomly selecting a sock that is not green

The dot plot shows the Each dot represents 1 country 7 8 B 18 1 14 19 23 9 What is the mean number of public holidays A 20 17 10 15 11 12 13 Number of Public Holidays 17 18 16 14

7 The dot plot shows the number of public Each dot represents 1 country 7 8 B 18 1 c 14 19 9 What is the mean number of public holidays A 20 17 D 23 10 11 12 13 14 Number of Public Holidays 15 16 DO 17 18

Corinne is planning a beach vacation in July and is analyzing the daily high temperatures for her potential destination She would like to choose a destination with a high median temperature and a small interquartile range She constructed box plots shown in the diagram below Ocean Beach Serene Shores Whispering Palms 70 75 80 85 90 95 100 70 75 80 85 90 95 100 Which destination has a median temperature above 80 degrees and the smallest interquartile range A Pelican Beach B Ocean Beach D Whispering Palms Pelican Beach Serene Shores

line plots below to compare the quiz scores for her first period math class and her second period math class She gave the same quiz to each class B QUIZ SCORES First Period Class X X X X X X AHH 0 1 2 3 4 5 6 7 8 9 10 Points X X Second Period Class X X X X X X X X X X X X X X 0 1 2 3 X X 4 5 6 Points 7 8 9 10 What conclusion can Ms Andrews make about the performance of her first and second period classes A The second period class scores had a higher mean than the first period class scores The first period class had a higher median score than the second period class

B The students in a study group each measured the thickness of their math notebooks The results are shown in the lineplot below A 1 inches 8 1 B 2 inches 2 2 8 7 C 2 inches 8 3 8 Thickness of Notebook inches 3 D 2 inches 8 4 8 If the students stack their notebooks one on top the other what will be the total thickness of the stack 5 8 68

A B D 9 Amounts of Trall Mix 15 2 XXXXX 1 4 How much total trail mix in cups did Elijah eat 15 4 Xx Cup xx 3 4

There is a spinner with 18 equal areas number 1 18 If the spinner is spun one time what is the probability that the result is a multiple of 2 or a multiple of 5 P multiple of 2 or multiple of 5

20 The principal of the school is looking over grade reports specifically scores on math quizzes This box and whisker plot shows the results Find median and range in the given box plot Math quiz scores 50 Median 60 70 80 and Range 90

A bag contains flavored lollipops A lollipop will be randomly selected from the bag 17 lollipops are grape flavored 8 lollipops are cherry flavored 14 lollipops are watermelon flavored 16 lollipops are strawberry flavored What is the probability in decimal form that the selected lollipop will be either cherry flavored or watermelon flavored

5 The test scores of the students in Mr Duffy s class are shown on the line plot below MR DUFFY S CLASS x XX XXX X X X X x X X X X X A 60 65 70 75 80 85 90 95 100 Most of the students in Ms Guzman s class scored higher than most of the students in Mr Duffy s class on the same test Which line plot could represent the test scores of the students in Ms Guzman s class MS GUZMAN S CLASS A x x B X X X X 4 1 X X X 60 65 70 75 80 85 90 95 100 MS GUZMAN S CLASS X X X X X X X X X X X X X X X X X X X X X X X X X X X X X 60 65 70 75 80 85 90 95 100

BOX PLOT The box and whisker plot describes the number of absences for Mr Fitz s students F 4 6 8 10 12 14 According to the plot what percent of the students were absent between 4 and 6 days A 100 B 50 25 D 75

A spinner with 6 equal sections is shown B C 6 23 5 1 What is the probability of spinning a number greater than 4 2 3

Use the box plot below to fill in the blanks to the five number summary below Cost of each lunch for the month in dollars H 4 5 Minimum Maximum Median First Quartile Third Quartile 6 7 8 H 9 10

Find UV 43 22 W Write your answer as an integer or as a decimal rounded to the nearest tenth UV Submit

Practice 1 If y 12x 10 what is the value of y when x is equal to 4

2 Given C 122 a 25 and c 18 use the Law of Sines to solve the triangle if possible for the value of b If two solutions exist find both Round answer to two decimal places b 13 97 O not possible O b 15 34 and 19 86 O b 8 72 and 12 09 b 9 65

triangle VX W 3 V Write your answers as integers or as decimals rounded to the nearest tenth

5 Given the equation 3x 4y 8x 2y what is the value of y when x 6 6 If three more than twice x is equal to 5 less than the product of four and y what is the value of x if y is equal to 10

Graph the image of square ABCD after a dilation with a scale factor of 3 centered at the origin 10 8 6 D 4 104 8 6 4 12 63

sing DeMoivre s theorem find 3 j 5 3 j 5 cos j sin Simplify your answers Round to two decimal places as needed Type any angle measures in degrees Use angle measures greater than or equal

D C 2 E Write your answer as an integer or as a decimal rounded to the nearest m C

3a n 2 7 3an 3a n 7 3an Simplify your answer Use positive exponents only Use integers or fractions for any numbers in the expression

XX Simplify your answer Type an integer or decimal rounded to four decimal places as needed

Extension 1 If y ax 4 and y 20 when x 8 what is the value of x when y 14 given that a is a constant 21fy ky and v 12 when y 4 what is the value of y when x 5 given that is a constant

Assume that ho radicands were formed by raising negative quantities to even powers 2x y5 48x 2x y5 48x Type an exact answer using radicals as needed

Add the numbers below Express the result in polar form 1 91 71 31 2 2 11 216 21 What is the sum Simplify your answers Round to one decimal place as needed Use angle measures greater than or equal to 0 and less than

7 If 2 3x 5 2y 4y 3z 10 what is the value of y if x 5 and z 2

6 Given AACD and AABE what is AB Christi et Min ml 15 212 B MILENIS 12 4 2 C

3 If 2 x 10 what is the value of 3x 5

Try It Again Problem If y 3 4x 6 3z what is the value of x if y 30 and z 4