(60)A sequence is defined recursively using the equation f(n + 1) = f(n) - 8. If f(1)  = 100, what is f(6)?
(a)Shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. Which formula could represent her sequence?
(c)Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.
(a,b,d)Which sequences are geometric? Check all that apply.
(a)A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?
(a)What is the common difference between successive terms in the sequence?
(a)Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?
(c)Which best describes the relationship between the successive terms in the sequence shown? 2.4, -4.8, 9.6, -19.2
(c)A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
(c)The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?
(a)The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the number of pages in an album. Which statement describes another point on the graph of this function?
(a)A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served. If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
(b)What is the constant of variation, k, of the direct variation, y = kx, through (-3, 2)?
(d)What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)?
(c)The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?
(d)Which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10?
(b)How many solutions does this linear system have? y = 2x - 5 -8x - 4y = -20
(b)Which is the best approximate solution of the system of linear equations y = 1.5x - 1 and y = 1?
(c)Tomas wrote the equation y = 3x +. When Sandra wrote her equation, they discovered that her equation had all the same solutions as Tomas’s equation. Which equation could be Sandra’s?
(c)y = -x + 4 x + 2y = -8 How many solutions does this linear system have?
(a)A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
(b)A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?
(c)What value of b will cause the system to have an infinite number of solutions? y = 6x - b -3x + y = -3
(2)Which value of m will create a system of parallel lines with no solution? y = mx - 6 8x - 4y = 12
(c)y = -3x + 6 y = 9 What is the solution to the system of equations?
(b)y = x - 6 x = -4 What is the solution to the system of equations?
(b)y = -5x + 30 x = 10 What is the solution to the system of equations?
(b)What is the solution to the system of equations? y = x + 3 x = -2
(b)(7,13/3)Two linear equations are shown. What is the solution to the system of equations?
(b)What is the solution to the system of equations? y = -3x - 2 5x + 2y = 15
(a)Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x - 5 2y - 4x =
(a)y = 4x - 10 y = 2 What is the solution to the system of equations?
(b)A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test?
(a,b,c,d)Which values, when placed in the box, would result in a system of equations with no solution? Check all that apply. y = -2x + 4 6x + 3y =
(d)Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.
(c)Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to find the number of quarters, q, and the number of dimes, d, she has is shown.
(c)Two systems of equations are shown below. The first equation in System B is the original equation in system A. The second equation in System B is the sum of that equation and a multiple of the second equation in System A.
(b)What is the solution to this system of linear equations? 7x - 2y = -6 8x + y = 3
(d)The system of equations can be solved using linear combination to eliminate one of the variables. 2x − y = −4 → 10x − 5y = −20 3x + 5y = 59 → 3x + 5y = 59 13x = 39 Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?
(c)What is the solution to this system of linear equations? x + y = 4 x − y = 6
(c)Solve the system of linear equations using linear combination. 3a + 6b = 45 2a - 2b = -12 Which is the solution to the system?
(b)A soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.
(b)What is the solution to this system of linear equations? 12q + 3r = 15 -4q - 4r = -44
(a)What is the solution to this system of linear equations? 2x + y = 1 3x - y = -6
(c)Which statement describes the graph of the system of equations below?
(a)To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied? First equation: 4x − 3y = 34 Second equation: 3x + 2y = 17
(b 0 = 26)The system of equations below has no solution. Which equation could represent a linear combination of the system?
(d 9,3)The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) → x + 2y = 15 (4x - 8y = 12) → x - 2y = 3 2x = 18 What is the solution of the system of equations?
(c)Mr. Brown is creating examples of systems of equations. He wants to have a system of equations with infinite solutions that includes the equation 5x + 2y = 8. Which equation could Mr. Brown use to complete the system so that it has infinite solutions?
(a)Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian spent a total of $26.50. The book costs can be represented by the system of equations below.
(0.5)A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange.
(a)Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar per loaf of bread and 0.75 cup of sugar per batch of muffins. Helena has 17 cups of flour and 4.5 cups of sugar available for baking.
(a)The system of equations is solved using the linear combination method. What does 0 = −12 mean regarding the solution to the system?
(a)Melinda and Paul shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paul shoveled for 25 minutes to complete 345 square feet of driveway.
(c)Which is the graph of linear inequality 2y > x - 2?
(c)The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?
(d)The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?
(b)The solutions to the inequality y ≤ −x + 1 are shaded on the graph. Which point is a solution?
(c)Which is the graph of the linear inequality 2x - 3y < 12?
(a)Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training times this week?
(c)Last year, Jess saw x dramas and y comedies at the movie theater. If she went to the theater no more than 8 times, which inequality best represents the number of movies she saw?
(c)Which shows the graph of the solution set of x + 2y > 4?
(c)Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s purchase?
(c)A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?
(b)Which shows the graph of the solution set of y > x - 3?
(d)It takes Dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. He has been making bracelets for longer than 120 minutes. If x represents the number of simple bracelets that he has made and y represents the number of deluxe bracelets he has made, the inequality 9x + 20y > 120 represents the scenario. Which is a possible combination of bracelets that Dimitri may have made?
(b)At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?
(b)A grocery bag contains x apples, each weighing  of a pound, and y pounds of grapes. The total weight of the grocery bag is less than 5 pounds. Which graph represents the possible numbers of apples and pounds of grapes that can be in the bag?
(c)Which shows the graph of the solution set of y < x - 2?
(b)Solve the system of inequalities by graphing. 649-02-07-00-00_files/i0070000.jpg
(a)Find the maximum value of the function for the polygonal convex set determined by the given system of inequalities. 649-02-07-00-00_files/i0140000.jpg 649-02-07-00-00_files/i0140001.jpg a. The maximum is at 649-02-07-00-00_files/i0140002.jpg. c. The maximum is at 649-02-07-00-00_files/i0140003.jpg b. The maximum is at 649-02-07-00-00_files/i0140004.jpg d. The maximum is at 649-02-07-00-00_files/i0140005.jpg
(b)Find the maximum value of the function for the polygonal convex set determined by the given system of inequalities. 649-02-07-00-00_files/i0150000.jpg 649-02-07-00-00_files/i0150001.jpg a. The maximum is at 649-02-07-00-00_files/i0150002.jpg c. The maximum is at 649-02-07-00-00_files/i0150003.jpg b. The maximum is at 649-02-07-00-00_files/i0150004.jpg. d. The maximum is at 649-02-07-00-00_files/i0150005.jpg
(b)Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities. 649-02-07-00-00_files/i0100000.jpg 649-02-07-00-00_files/i0100001.jpg a. The minimum is at 649-02-07-00-00_files/i0100002.jpg c. The minimum is at 649-02-07-00-00_files/i0100003.jpg b. The minimum is at 649-02-07-00-00_files/i0100004.jpg. d. The minimum is at 649--07-00-00_files/i0100005.jpg
(c)Gina Chuez has considered starting her own custom greeting card business.  With an initial start up cost of $1500, she figures it will cost $0.45 to produce each card.  In order to remain competitive with the larger greeting card companies, Gina must sell her cards for no more than $1.70 each.  To make a profit, her income must exceed her costs.  How many cards must she sell before making a profit?
(d)Solve the system of inequalities by graphing. 649-02-07-00-00_files/i0080000.jpg
(c)Which inequality is NOT part of the system of inequalities that defines a polygonal convex set that includes all points in the interior of a square whose vertices are:  A(4, 4), B(4, -4), C(-4, -4) and D(-4, 4)?
(true)Marcel says there is only one vertex that will yield a maximum for any given function.  Tomas says that if the numbers are correct, there could be two vertices that yield the same maximum. Tomas is correct.  There are functions in which the coordinates of more than one vertex will yield the same value for the function.
(d)Solve the system of inequalities by graphing. 649-02-07-00-00_files/i0020000.jpg
(c)Christine's Butter Cookies sells large tins of butter cookies and small tins of butter cookies.  The factory can prepare at most 200 tins of cookies a day.  Each large tin of cookies requires 2 pounds of butter, and each small tin requires 1 pound of butter, with a maximum of 300 pounds of butter available each day.  The profit from each day's cookie production can be estimated by the function 649-02-07-00-00_files/i0180000.jpg, where x represents the number of large tins sold and y the number of small tins sold.
(d)A piecewise function f(x) is defined as shown. f(x) = Which table could be used to graph a piece of the function?
(c)The piecewise function h(x) is shown on the graph. What is the value of h(3)?
(b)The piecewise function h(x) is shown on the graph. What is the value of x when h(x) = −3?
(c)Which value is in the domain of f(x)? f(x) =
(b,d)The graph of g(x) is shown. Which statements describe the domain and range of g(x)? Check all that apply.
(b)The function f(x) is to be graphed on a coordinate plane. f(x) = At what point should an open circle be drawn?
(c)The piecewise function h(x) is shown on the graph. What is the value of h(2)? −2 −1
(b,d,e)The distance traveled, in miles, as a function of time, in hours, is defined by D(t). D(t) = Which times and distances are represented by the function? Check all that apply.
(b)A function, h(x), is defined as shown. h(x) = Which graph represents h(x)?
(b)The graph of the piecewise function is shown. What is the range of f(x)?