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1 Answer Key - Weekly Math Homework Q3:1 Write the equation of a line in slope intercept form that has a slope of 3 and has a y- 5 intercept of ½. yy = 3 5 xx Write the exponential function that matches the table. xx Write the equation of the line in slope intercept form. y = 3x 1 Write an exponential function yy = aabb xx whose graph passes through the points (4, 486) and (6, 4374) yy = yy = 6 3 xx Use the recursive Convert the following geometric rule to find the recursive geometric rule to first four terms: an explicit rule: aa nn = 4 aa nn 1 aa nn = 10 aa nn 1 aa 1 = 2 aa 1 = 9 2, 8, 32, 128 aa nn = 9 10 xx 1 1. Which graph has the greatest minimum value? A 2. Which graph has the greatest y-intercept? B A. B. The cost of apples in Draw a box-and-whisker plot for October can be modeled by the following set of data. the function yy = 1.29xx. 23, 10, 30, 8, 13, 26, 18, 25 x probably stand for? Pounds of apples of the coefficient of x? Cost per pound 3. What does the absence constant tell us? No additional cost What % of everybody that was surveyed were Girls? 55% How many people chose waffle as their favorite? 80 How many more girls liked pancakes than girls who liked biscuits? 8 Find the mean absolute deviation for the table below: What percentage of the boys liked pancakes? 36.5% What percentage of the people who liked pancakes were boys? 47.7% Write the equation of a line in slope intercept form of a line that has a slope of 4 and contains (0, 8). yy = 4xx 8 Write the equation of a line in slope intercept form that contains the points (0,2) and (3, 4). yy = 2 3 xx + 2 The rate at which caffeine is eliminated from the bloodstream is about 15% per hour. Jim drinks a caffeine soda, and the caffeine in his bloodstream reaches a peak level of 30 milligrams. Write an equation that will model this. yy = xx Use the arithmetic recursive rule to find the first five terms: aa nn = aa nn aa 1 = 3 3, 10, 23, 36, 49 Determine which function has the highest average rate of change over the interval x = 1 to x = 2. The value of a new iphone can be modeled by ff(xx) = xx. x probably stand for? # of years since purchase of the 0.91? 9% depreciation each year 3. What does the 600 tell us? Initial cost Convert the arithmetic recursive rule into an explicit rule. aa nn = aa nn aa 1 = 2 aa nn = 2 + (nn 1) 5 ff(xx) = 3xx + 2 Use the box-and-whisker plot to answer the question below. What is the interquartile range? 6 Andrea s math test scores were 76, 88, 82, 94, and 88. Find the mean A survey of 450 high school students asked if they preferred Valentine s Day or the 4 th of July as their favorite holiday. 180 of the people surveyed were girls. The results found that only a third of the boys preferred Valentine s Day while the girls split their votes with half preferring Valentine s Day and half preferring the 4 th of July. Draw a two way frequency table that represents this survey

2 Answer Key - Weekly Math Homework Q3:2 Write the exponential function that matches the table. yy = 5 2 xx Use the recursive geometric rule to find the first four terms: aa nn = 1 aa nn 1 aa 1 = 4 4, 4, 4, 4 Write an exponential function yy = aabb xx whose graph passes through the points (1, 6) and (3, 54) yy = 2 3 xx Use the arithmetic rule to find the first five terms: aa nn = 9 + (nn 1) 2 9,11,13,15,17 Which an exponential function that contains the points (1, 2) and (2, 8)? yy = 4 xx yy = 2 xx yy = 1 2 (4)xx yy = 2(2) xx Convert the following explicit geometric rule into a recursive rule: aa nn = 6 7 nn 1 aa nn = 7 aa nn 1 aaaaaa aa 1 = 6 If an exponential model has a 27% growth rate, what multiplier would be used in the function model? Convert the explicit arithmetic formula aa nn = 6 + (nn 1)4 into a recursive format. aa nn = aa nn aaaaaa aa 1 = 6 1. Which function is growing faster? B 2. Which table as the biggest y-intercept? B Both the table and the graph represent a savings plan. Which plan is saving faster? A. B. The function ff(xx) = 1.75xx models the amount of gallons of water in a swimming pool every minute the hose is on. x stand for? Minutes of the coefficient of x? Increase of 1.75 gallons per minute 3. What does the constant tell us? Starting amount of water in the pool By visual inspection, whose class will have the higher mean? Mr. Kim s Whose class will have the greater interquartile range? Mr. Kim s Table Research shows that mosquito population can be modeled by ff(xx) = 125, xx each week since the start of summer. x stand for? # of weeks of the 1.012? 12% increase in mosquitos 3. What does the 125,000 tell us? Initial amount Determine the following for the data set: 2, 2, 2, 4, 4, 5, 5, 5, 7, 7, 15, 17 Mean = 6.25 Median = 5 Mode = 2,5 Range = 15 What is the best measure of the center? Median What percentage of people who liked sports were men? 62.5% Determine the value of A, B and C that completes the twoway frequency table above. A=16 B=14 C=34 Sketch a line of best fit and estimate how the y-value when x = 9. y=8.5 Which of the flowing best describes a negative correlation? A) The length of a person s hair after a haircut. B) The depth of a pool as it drains over time. C) The amount of time you travel as compared to the distance from where you left. D) The cost of an ice cream cone and the number of toppings you put on it. What percentage of men like sports?_50% Is the correlation positive or negative? Estimate the y-value at an x-value of 55. y=1 Estimate the outlier point for this data set.(39,2) Is the correlation positive or negative?

3 Answer Key - Weekly Math Homework Q3:3 Use the arithmetic recursive rule to find the first five terms: aa nn = aa nn 1 9 aa 1 = 0 0, 9, 18, 27, 36 Which function has the greater y-intercept? B. A. yy = 2 2 xx The function ff(xx) = 8.25xx models the amount of money that Jim earns for each hour of work. x stand for? Hours worked of the coefficient of x? Hourly wage 3. What does the lack of a constant tell us? He doesn t start out with any money Which situation is not a representation of the equation: yy = 1 xx? 3 A) Jon bought 3 soda for a dollar B) Jan uses 5 gallons of paint to cover 15 walls. C) Jim got 18 mouse traps for just 6 dollars. D) 21 fish where caught at 7 o clock at night. Anthony keeps track of the hours he has driven and total miles he has traveled in the table. Anthony thinks that the equation y = 42.5x + 45 is a good estimate for the data. Interpret what the 42.5 means. The amount of miles he drives Convert the following recursive geometric rule to an explicit rule: aa nn = 8 aa nn 1 aa 1 = 1 aa nn = ( 8) nn 1 Jamal and Tim s mile times are in the box plots below: 1.Who has the faster median time? Tim 2.Who has the slowest time? Jamal 3. Overall, who is the faster runner? Tim 4.Who has the widest range of times? Tim Make a scatter plot of the data table. Sketch best fit curve. coefficient in the problem above and describe it as strong positive, weak positive, strong negative, weak negative or no correlation In the problem to the left, interpret that the 45 means in the equation that Anthony comes up with. The # of miles the car initially had on it. Use the explicit geometric rule to find the first four terms: aa nn = 1 2 (4)nn 1 1, 2, 8, 32 2 Rental Store A charges $10 to rent a power tool plus $2 per hour. Store B charges by the function ff(xx) = xx Which store has the largest charge per hour? Caffeine is metabolized by your body by the model ff(xx) = II 0.85 xx each hour after consumption. I stand for? Initial amount of the 0.85? 15% depreciation each hour 3. What does the f(x) tell us? Total amount of caffeine in the body How many people make more than $60,000? 652 What percentage of all police officers make less than $40k? 20% What does the correlation coefficient measure? A. How steep the pattern of dots is in the scatter plot. B. The amount of dots there are in the scatter plot. C. The strength of the correlation of the variables in the scatter plot. D. The level at which the dots form an exponential function. Convert the arithmetic recursive rule into an explicit rule. aa nn = aa nn 1 12 aa 1 = 15 aa nn = 15 + (nn 1) ( 12) Which statement is true about the equation y = 5 x? a) y is a multiple of 5 b) y is always a positive number c) y = 0 only one time d) It has a slope of 5 In the bar graph below, which measure of central tendency would be most affected with the inclusion of two workers who work 6 shifts Mean What percent of the entire population make between 40k and 60k? 57.7% How many people make less than $40k? 407 Describe the correlation coefficient of the scatterplot. A. Strong Positive B. Weak Positive C. Strong Negative D. Weak Negative

4 Answer Key - Weekly Math Homework Q3:4 Write the equation of a line in slope intercept form that contains (1, 2) and (3, 2). yy = 2xx 4 The function ff(xx) = 6xx + 20 models the height of a newborn, in inches, for the 1 st four years of lfe. x stand for? Years old of the coefficient of x? 6 inch growth per year 3. What does the constant tell us? Length of baby at birth What % of boys can t bike? 36.3% How many more girls are there than boys? 8 What % of the people surveyed were girls? 63.3% Describe a situation that could produce this scatter plot. Ans Vary coefficient for the scatter plot A. rr = B. rr = A or B? Which function has the smallest minimum value? Neither Which function has the largest average rate of change from x= -1 to x=2 A Create a dot plot of the given table. Is the data symmetric, skewed left, or skewed right? Matching: A. The cost of your steak vs. the size of your steak Left B. The # of questions you get wrong vs. study time Right C. The color or your shirt vs. how much sleep Middle If mm = 5, nn = 8, pp = 2, 3mm + 2nn = 31 mm 2pp = 5 4 4nnnn 10nn = 80 pp mm = 32 C.rr = D. rr = Explain why the formula for the area of the shape below could be AA = llll(rrrrrrrrrrrrrrrrrr) + 1 bbbb(tttttttttttttttt)? 2 A. B. A small rural school system is losing teachers and is modeled by ff(xx) = 13, xx with x being the number of decades since f(x) stand for? The # of teachers after x years of the 0.92? 8% depreciation 3. What does the 13,800 tell us? Initial amount of teachers 40% of the 50 people were surveyed were girls. Half of the boys and half of everybody took Spanish. Only 3 girls took German, while 2 boys took French. Complete the table with this data. If xx = 6, yy = 4, zz = 3, 3zz + 23 = 32 xx yyyy = 1 2 xxxxxx = 72 2xx 5yy = 32 Are there any outliers in the data set shown below? No Lucy and Charley are bowling. Charley bowled already and had a M.A.D. of 7. Lucy bowls and gets the following scores: 115, 110, 123, 118, 120 Who is a more consistent bowler? Lucy A doctor develops the model y = 36.57x + 4 for the number of words a toddler can speak (x) versus the months that have passed since they started speaking (y). Interpret what the and the 4 means in the context of the problem : # of words added per month 4: Starting amount of words. Explain why the formula for the area of the shape below could be AA = ππ ww 2 2 (cccccccccccc) + llll(rrrrrrrrrrrrrrrrrr)?

5 Answer Key - Weekly Math Homework Q3:5 The function ff(h) = 8.5h models the amount of money Amy has in her savings after each hour of work. h stand for? # of hours worked of the coefficient of h? Pay per hour 3. What does the constant tell us? Starting amount in her account Use a graphing utility to find the line of best fit for this data: yy = 0.13xx Using your answer from the problem above, predict the value of y when x = 5. y = 3.63 Predict the value of x when y = 6. x = Below a student made a histogram for the data. What mistake the student make? The bar is too high Convert the 2-way frequency table to a relative (%) frequency table The amount of debt on Jon s credit card, if left unpaid, can be modeled by ff(xx) = 17, xx with each ensuing year. x stand for? # of years of the 1.212? 21.2% interest rate 3. What does the 17,500 tell us? Starting balance 1000 people were asked if they liked their math teacher.10% said yes. 80 of those that said yes were boys. 380 of those that were surveyed were girls. Complete the table to display this data. Determine the mean number of book read over the summer. 1.3 Make a scatter plot of the data table. Sketch a line of best fit. A researcher is researching the number of minutes waiting in line (x) versus the number of people ahead of you in line (y) at a local amusement part. She derives the equation y=4.36x to model this relationship. What does the and the 4.36 mean in the context of the problem? 11.49: average # of people in line to start off with 4.36: The number of people ahead of you per minute that you wait. Using the problem above, create a relative frequency table. coefficient in the problem above and describe it as strong positive, weak positive, strong negative, weak negative or no correlation If aa = 9, bb = 2, cc = 0, 2aa + 2cc = 18 bb + aa cc = 3 The formula for the area for a triangle is ½bh. The formula for the area of a rectangle is bh. Explain how these are related. Draw a picture to the right to support your answer. A triangle is half a rectangle If ff = 1, gg = 10, h = 1, gg h ff = 11 gg h ff = 5 18bb bb = 2bb(9bb + 5) 9xx 2 + 9xx 3 + 6xx 11 = 3xx 2 (3 + 3xx + 2xx 9 ) 8cc 3 4cc = 4cc(2cc 2 1) 2xx 2 yy 6xx 4 yy + 10xx 10 yy 3 = 2xx 2 yy(1 3xx 2 + 5xx 8 yy 2 ) bb 2 4 = (bb + 2)(bb 2) 25 xx 2 = (5 + xx)(5 xx) 2xx 2 50 = 2(xx + 5)(xx 5) gg 2 = ( gg)(12 11gg) 10mm 4 nn 6mmmm = 2mmmm(5mm 3 2) xx 5 + 4xx 2 + 6xx = xx(xx 4 + 4xx + 6) 20h 4bb = 4(5h bb) 5xx 8 15xx 6 + 3xx 2 = xx 2 (5xx 6 15xx 4 + 3) 36mm 2 49nn 2 = (6mm + 7nn)(6mm 7nn) 100 9ww 2 = (10 + 3ww)(10 3ww) kk = (kk )(kk 3 20) 27 3ff 2 = 3(3 + ff)(3 ff)

6 Answer Key - Weekly Math Homework Q3:6 What percent of the numbers are located between 5 and 14? 75% What percent of the data is either less than 5 or greater than 9? 50% Who is the most consistent golfer? David Who is the best golfer on average? Conner Of the 68 males that were surveyed, 63 of them were right handed. Only 12 of the 109 total people surveyed were left handed. Complete the table below to represent this. Johnny determines a line of best fit for the data in the table to be y = 42x 55. What y-value would you predict to correspond with an x-value of 14? 533 How about an x-value of 25? 995 What line could be the line of best fit for the scatter plot? yy = 1 xx + 7 yy = 1 xx yy = 2 xx + 2 yy = 3 xx Convert the 2-way frequency table to a relative (%) frequency table. After a study was done, it was determined that there was a strong positive correlation between the # of students graduating HS per year and the cost of gasoline. Does this have a cause and effect relationship? No If kk = 7, ll = 3, mm = 3, 3mm + 10mm = 39 kkkk 2ll = 7 2 coefficient in the problem above and describe it as strong positive, weak positive, strong negative, weak negative or no correlation Explain why the following expression would represent the volume of the shaded region to the left: Volume of Big Cone Volume of Small Cone Answers will vary What is the best value of r for each graph? (- 1, -0.5, 0, 0.5, 1) 1, -0.5 If rr = 11, tt = 3, ss = 9, 8rr 10ss = 2 ss tt rr = dd 2 15dd = dd(11dd 15) ww = (ww + 13)(ww 13) 64 16zz 2 = 16(2 + zz)(2 zz) 8xx 2 20xx xx 10 = 4xx 2 (2 5xx 3 + 6xx 8 ) 10aabb aaaa = 10aaaa(bb + 1) 4bb 8 9 = (2bb 4 3)(2bb 4 + 3) 75 3xx 2 = 3(5 + xx)(5 xx) xx 2 yy 2 + 6xx 3 yy 2 + 3xx 4 = xx 2 (yy 2 + 6xxyy 2 + 3xx 2 ) xx 2 14xx + 45 = (xx 5)(xx 9) nn 2 + 4nn 32 = (nn + 8)(nn 4) kk 2 2kk 48 = (kk 8)(kk + 6) 3nn 2 21nn + 18 = 3(nn 6)(nn 1) 3kk 2 13kk + 14 = (3kk 7)(kk 2) 2aa aa + 56 = (2aa + 7)(aa + 8) uu 4 5uu 2 14 = (uu 2 7)(uu 2 + 2) mm 4 mm 2 20 = (mm 2 5)(mm 2 + 4) xx xx + 40 = (xx + 4)(xx + 10) nn 2 nn 20 = (nn 5)(nn + 4) nn 2 17nn + 72 = (nn 9)(nn 8) 5xx 2 30xx 35 = 5(xx 7)(xx + 1) 7kk 2 + 4kk 20 = (7kk 10)(kk + 2) 5xx xx 42 = (5xx 6)(xx + 7) xx 4 12xx = (xx 2 8)(xx + 2)(xx 2) pp 4 pp 2 6 = (pp 2 3)(pp 2 + 2)

7 Answer Key - Weekly Math Homework Q3:7 Find the value of A, B, C, and D that completes the two-way relative frequency table above. A=35%, B=20%, C=45%, D=30% Matching: A. The temperature of boiling water after it is taken off the burner A B 500 freshmen were asked if their parents allowed dating. 40% said yes. 120 of those that said yes were boys. 260 of those that were surveyed were girls. Complete the table to display this data. Use a graphing utility to find the line of best fit for this data: yy = 0.71xx Use a graphing utility to find the line of best fit for this data: yy = 0.48xx 5.09 B. The year a car was made and the total mileage on it. In the problem above, A or B, which situation would have the strongest correlation coefficient based off their graph? B coefficient in the problem to the right and describe it as strong positive, weak positive, strong negative, weak negative or no correlation. r= Using your answer from the problem above, predict the value of y when x = Predict the value of x when y= Using your answer from the problem above, predict the value of y when x = Predict the value of x when y= If mm = 0, nn = 2, pp = 8, nnnn = 4 mm 2pp = 0 In the shape to the right, describe how you could find the volume of the entire figure. Do not find the actual volume. Add together the volume of each cylinder If xx = 4, yy = 9, zz = 2, 4xx zz = 8 yyyy xx = 9 2 8dd 7 10dd 3 = 2dd 3 (4dd 4 5) kk = (kk )(kk 2 10) 18 2h 2 = 2(3 + h)(3 h) 3xx 3 18xx xx 5 = 3xx 3 (1 6xx + 10xx 2 ) 5ggh 2 10ggh 12 = 5ggh 2 (1 2h 10 ) 25bb 2 36 = (5bb 6)(5bb + 6) 40 10xx 2 = 10(2 + xx)(2 xx) xx 6 yy 2 + 2xx 4 yy 2 xx 4 yy = xx 4 yy(xx 2 yy + 2yy 1) mm 2 + mm 30 = (mm + 6)(mm 5) aa aa + 16 = (aa + 2)(aa + 8) nn 2 + 4nn 60 = (nn + 10)(nn 4) 2xx 2 14xx + 24 = 2(xx 3)(xx 4) 5xx 2 29xx 42 = (5xx + 6)(xx 7) 2aa 2 + 9aa 35 = (2aa 5)(aa + 7) xx xx = (xx 2 + 4)(xx ) mm 4 10mm = (mm 2 3)(mm 2 7) Find the value of c that completes the square. xx xx + cc 196 xx xx + cc 25 Write each problem to the left in the form of (xx ± ) 2 (xx + 14) 2 (xx + 5) 2 xx 2 12xx + 11 (xx 6) 2 25 xx xx 70 (xx + 10) Find the value of c that completes the square. xx 2 26xx + cc 169 xx 2 + 7xx + cc 49 4 Write each problem to the left in the form of (xx ± ) 2 (xx 13 ) 2 (xx )2 xx 2 + 8xx + 19 (xx + 4) xx 2 16xx 40 (xx 8) 2 104

8 Answer Key - Weekly Math Homework Q3:8 Use a graphing utility to find the line of best fit for this data: yy = 0.78xx 4.5 Using your answer from the problem above, predict the value of y when x = Predict the value of x when y= If ff = 6, gg = 10, h = 12, 2ff + ffff = 72 h gg = 6 5 coefficient in the problem to the left and describe it as strong positive, weak positive, strong negative, weak negative or no correlation. r = 0.46 It was determined that there was a strong correlation between the amount of rainfall and the speed of vehicles on the road. Does this have a cause and effect relationship or is it just random correlation? Yes, causal In the shape to the right, describe how you could find the volume of the entire figure. Do not find the actual volume. Add volume of prism and cylinder together. The # of guests at a spa for the first ten weeks after opening is shown 1. Determine the equation for the line of best fit. yy = 7.07xx What is the correlation coefficient? Do you think that situation is a causal relationship? yes If aa = 5, bb = 10, cc = 1, 7aa 2bb + cc = 54 aaaaaa cc = 51 10dd 6 6dd 2 = 2dd 2 (5dd 4 3) mm 4 16 = (mm 2 + 4)(mm + 2)(mm 2) 98 2zz 2 = 2(7 + zz)(7 zz) 2xx 9 4xx xx 3 = 2xx 3 (xx 6 2xx 3 + 5) 7kk 14h 9 = 7(kk 2h 9 ) 20vv 2 45 = 5(2vv + 3)(2vv 3) 49 xx 2 = (7 + xx)(7 xx) xx 8 yy 6 8xx 3 yy 3 + xx 6 yy = xx 3 yy(xx 5 yy 5 8yy 2 + xx 3 ) vv 2 16vv + 60 = (vv 6)(vv 10) vv 2 + 3vv 70 = (vv 7)(vv + 10) nn 2 + 2nn 24 = (nn + 6)(nn 4) 4xx xx 40 = 4(xx 2)(xx + 5) 5xx 2 8xx 21 = (5xx + 7)(xx 3) 5xx 2 14xx + 8 = (5xx 4)(xx 2) uu 4 + 6uu 2 40 = (uu )(uu + 2)(uu 2) xx 4 4xx 2 60 = (xx 2 + 6)(xx 2 10) Find the value of c that completes the square. xx 2 24xx + cc 144 xx 2 + 9xx + cc 81 4 factoring or ). Write each problem to the left in the form of (xx ± ) 2 (xx 12) 2 (xx )2 factoring or ). xx xx 16 (xx + 5) 2 41 factoring or ). xx 2 6xx 38 (xx 3) 2 47 factoring or ). xx 2 + 2xx 3 = 0 x = -3,1 xx 2 8xx + 12 = 0 x = 6,2 factoring or ). 5xx xx = 0 x = 0,-3 12xx xx = 0 x = 0,2 25xx 2 = 1 xx = ± 1 5 xx 2 4xx = 4 x = 2 factoring or ). 5 = 4x + xx 2 x = -5, 1 xx 2 = 49 xx = ±7 (xx 3) 2 = 16 x = 7, -1 20xx = 4xx xx = 5 2 The area of this rectangle is 80 ft 2. What is the length and width? 4, 20 36xx 2 9 = 0 xx = ± 1 2 xx 2 10xx + 25 = 0 x = 5 Determine the x-intercepts of the function: ff(xx) = 2xx xx + 28 (0, -2), (0, -7)

9 Answer Key - Weekly Math Homework Q3:9 Gretchen says that a countries economic wellbeing & employment levels have a negative correlation since as the economy gets worse as the level of employment goes down. A. Correct since that is the definition of negative correlation. B. Incorrect it is positive since the variables decrease together. C. Incorrect both variables are decreasing so there would be no correlation. D. Gretchen s claim cannot be evaluated since the variables are not numerical. If pp = 6, qq = 9, rr = 3, qqqq 2 = 5 pppp qq = 2 Write a simplified expression for the area of the shaded region to the right. xx 2 7xx 13 If ww = 1, xx = 10, yy = 0, ww + yy + xx = 11 ww xx + 3yy = 9 The table below shows students absences and their average.. 1. Describe the correlation as positive or negative. 2. Is there likely a causal relationship between absences and average? yes 5ff 6 7ff 4 = ff 4 (5ff 2 7) mm = (mm 5 + 8)(mm 5 8) 300 3pp 2 = 3(10 + pp)(10 pp) 6xx 5 4xx xx 2 = 2xx 2 (3xx 3 2xx 2 + 6) 4ww 16ww 3 = 4ww(1 + 2ww)(1 2ww) 24gg 2 36 = 6(4gg 2 6) 144 nn 2 = (12 + nn)(12 nn) xx 6 yy 5 zz 2xx 2 yy 4 zz = xx 2 yy 4 zz(xx 4 yy 2) mm 2 + mm 72 = (mm + 9)(mm 8) vv 2 13vv + 42 = (vv 7)(vv 6) nn 2 3nn 70 = (nn 10)(nn + 7) 2xx xx 24 = 2(xx 3)(xx 4) 2mm mm + 12 = (2mm + 3)(mm + 4) 7xx xx 12 = (7xx 2)(xx + 6) kk 4 19kk = (kk 2 10)(kk 3)(kk + 3) xx 4 + xx 2 72 = (xx 2 + 9)(xx 2 8) Find the value of c that completes the square. xx xx + cc 49 xx 2 3xx + cc 9 4 Write each problem to the left in the form of (xx ± ) 2 (xx + 7) 2 (xx 3 2 )2 Solve each quadratic (square roots, factoring or completing the square). xx xx 100 (xx + 11) Solve each quadratic (square roots, factoring or completing the square). xx 2 8xx + 2 (xx 4) 2 14 Determine the x-intercepts of the function: Solve each quadratic (square roots, factoring or completing the square). 25xx 2 = 144 xx = ± 12 5 xx 2 = 41xx x = 0,41 Rearrange the equation below to identify the variables a, b and c. 9xx xx 12 = 0 15xx = 12 9xx 2 a = 9, b = 15, c = -12 though could be 3,5,4 if reduced xx 2 + 5xx + 6 = 0 x = -2,-3 xx 2 + 5xx = 24 x = -8,3 xx 2 7xx 8 = 0 x = 8,-1 Rearrange the equation below to identify the variables a, b and c. 4xx 2 + xx + 7 = 0 xx + 4xx 2 = 7 a = 4, b = 1, c = 7 2xx 2 + 8xx 24 = 0 x = -6, 2 6xx xx = 0 x = 0, -2 5xx 2 20xx + 17 = 2 x = 3, 1 3xx 2 + 5xx + 1 = 0 5 ± xx 2 xx + 3 = 0 1 ± 23ii 4 ff(xx) = 2xx 2 + 8xx + 6 (-3,0),(-1,0) xx xx + 2 = 0 5 ± 23 Derive the quadratic formula: Too much to fit here easily located online. One place can be found at /modules/sqrquad2.htm