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Equations and Inequalities: Functions: Problem 1 Problem 6 Problem 11 Problem 1 Problem 6 Problem 11 Problem 2 Problem 7 Problem 12 Problem 2 Problem 7 Problem 12 Problem 3 Problem 8 Problem 13 Problem 3 Problem 8 Problem 13 Problem 4 Problem 9 Problem 14 Problem 4 Problem 9 Problem 14 Problem 5 Problem 10 Problem 15 Problem 5 Problem 10 Problem 15 Statistics: Geometry: Problem 1 Problem 6 Problem 11 Problem 1 Problem 6 Problem 11 Problem 2 Problem 7 Problem 12 Problem 2 Problem 7 Problem 12 Problem 3 Problem 8 Problem 13 Problem 3 Problem 8 Problem 13 Problem 4 Problem 9 Problem 14 Problem 4 Problem 9 Problem 14 Problem 5 Problem 10 Problem 15 Problem 5 Problem 10 Problem 15 What equation shows 8(x – 3) = -4(y + 2) solved for y? Back What is the value of x in the equation 5 x 6 x ? 2 Back 7 11 Back Find three consecutive integers such that 4 less than triple the smallest integer is equal to 9 more than 2 times the largest integer. Back What equation shows 4n – nt = 2(t – 3) solved for t? Back Set up a system of inequalities to represent the situation. Back -f(x) is a linear function with the 1 equation f x = − + 4 2 -g(x) is a linear function with the 2 equation g x = − 2 3 What point represent where f(x)=g(x)? Back The following inequalities represent a linear programming problem. What are the vertices of the feasible region? Back Back Write the systems of inequalities that corresponds to the following graph. Back What is the equation of the line passing through the points (–2, 7) and (4, 3)? Back What is the solutions to the following system of equations? Back Katherine has $140 in the bank and is saving $6 per week. Abbie has $462 in the bank, but is spending at a rate of $10 per week. After how many weeks will they have the same amount of money? Back Your next math test is worth 111 points and contains 32 problems. Each problem is worth either 4 points or 3 points. How many 3 point problems are on the test? Back Back Back The first term in an arithmetic sequence is -5. The fifth term in an arithmetic sequence is 19. Write the recursive formula for the sequence. Back Which function is modeled in this table? x f(x) 1 2 3 4 Back 2 -3 -8 -13 2 If 4 = 4 − 2 4 + 2, what function gives f(x)? Back Back Back What function represents this sequence? n 1 an -20 -10 Back 2 3 4 5 … -5 -2.5 -1.25 … The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function. Write the equation that represents the function? Back A function g is an odd function. If g(–6) = -4, what two points must be on the function g? Back In 2007 the population of the town of Cartersville was 24,455. If the population is growing by 3% per year, what is the best prediction of the population in the year 2015? Back State the domain and range of the following function: −1 = −2 +4 Back Bigmart is having a sale. Every item in the store is 30% off. At the time of purchase, sales tax of 7% is added on to the discounted item. Write a function that would model the discounted cost of the item. Let C(x) represent discounted cost and x represent the original cost. Back The function = 4 is an exponential function. Find the average rate of change for the function over the interval 2 ≤ ≤ 6. Back If you know that the function = is a decreasing exponential function, what must be true about the value of b? Back Jeremy bought a new truck for $32,000. The value of the truck depreciates 20% per year. If Jeremy bought the truck in 2006, what was the value of the truck in 2010? Back This table shows the average low temperature, in ºF, recorded in Macon, GA, and Charlotte, NC, over a six-day period. Find the median and IQR for each city. DAY 1 2 3 4 5 6 Temperature in Macon, GA (in 71 72 66 69 71 73 F) Temperature in Charlotte, NC 69 64 68 74 71 75 (in F) Back Back A reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below. 44, 49, 39, 43, 59, 44, 45, 49, 50 Does the data set contain outliers? How do you know? Back Back Back Back If the correlation coefficient for a linear regression model is 0.523, what does that suggest about the data? Back The frequency distribution compares the gender of a surveyed individual to their geographic region. What percent of individuals surveyed were female from the west? Back The graph below displays the money made off of ice cream sales over the course of the year. If the owner expects sales in August to be 10% higher than July, how much should sales be in August? Back Four wrestlers make a pact to lose some weight before the competition. They lose an average of 7.4 pounds each over the course of 3 weeks. Carlos loses 6.2 pounds, Steve loses 3.4 pounds, and Greg loses 9.5 pounds. How many pounds does Wes lose? Back A small company did an analysis if their pay scale versus years of experience and found that the line of best fit was y = 2035.6x + 36,000. What does the 2035.6 mean in context of the problem? Back Find the mean absolute deviation for the following data set. 12, 16, 7, 10, 5 Back Victor, Vladimir, Venus, and Vivian each have a different set of data points. Each used the linear regression feature of his/her graphing calculator to find a linear function that models his/her data. The value of the correlation coefficient (r) associated with Victor’s function was –0.91, the value or r for Vladimir’s function was 0.73, the value of r for Venus’s function was –0.44, and the value of r for Vivian’s function was 0.88. Who has the BEST model for his or her data? Back The frequency distribution compares the gender of a surveyed individual to their favorite subject. What percent of male students surveyed responded with reading as their favorite subject? Back The graph shows a scatterplot, along with the best fit line. The points A, B, C, and D are not part of the set. Adding which point will most DECREASE the slope of the line? Explain. Back Back Points A and B are graphed on the coordinate plane below. Find the coordinate of a point C in the first quadrant that would make ∆ABC an isosceles right triangle. Back 1 An equation of line a is y x 2 2 Which is an equation of the line that is perpendicular to line a and passes through the point (–4, 0)? Back Back Parallelogram ABCD has vertices as shown. Find the area of ABCD. Back Triangle ABC has vertices as shown. What is the area of triangle ABC? Back A parallelogram has vertices at (0, 0), (0, 6), (4, 4), and (4, –2). Describe a single transformation that will map the parallelogram to itself. Back Line segment MN has endpoints M(-6, -5) and N(10, 1). Write the equation of the perpendicular bisector of MN. Back Given the points P(-5, 6) and Q(10, 1), what are the coordinates of the point on directed line segment PQ that partitions PQ in the ratio 2 3 Back Function f(x) is defined by the following ordered pairs: (-4, -6) (-3, 3) (2, 6) (5, -4) What would be the ordered pairs for the function g(x) = f(-2x) – 3? Back Triangle ABC has vertices A(-2, 10), B(2, -8), and C(4, 6). ABC is dilated by ½ about the point (-2, 0), rotated 90º, and reflected in the line y = x. What are the coordinates of the resulting image? Back Parallelogram ABCD has vertices as shown. Find the perimeter of ABCD. Round to the nearest tenth. Back Write an equation of the line that 1 is parallel to y = x + 3 and 2 passes through the point (10, -5). Back Triangle ABC has vertices as shown. What is the perimeter (to one decimal place) of triangle ABC? Back Function f(x) is defined by the following ordered pairs: (-4, -6) (-3, 3) (2, 6) (5, -4) What would be the ordered pairs for the function 1 g(x) = − f(x – 4)? 3 Back