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I’ll use <= and >= instead of writing the single symbol… I write my fractions like this 3/8… that means 3 over 8. 1- Media services charges$ 40 for a phone and $ 30/ month for its economy plan. The equation c = 30 t + 40 describes the total cost,c,of operating a Media Services phone for t months The total costs for 3 months of services is $ 130 If a costumer has only $ 110 available, how many months of services can she recieve? c) 2 1/3 Graph the equation of c = 30t + 40 It should look similar to this: 2- Solve. 8x- (3x+ 5) = 20. The solution x = 5 3- On three consecutive passes, a footbal team gains 7 yards, losses 19 yards,and gains 42 yards. What number represnets the total net yardage? The the total net yardage is 30 yards 4-Graph. m=( 3,-3 ) 2 NOT SURE what’s going on here… 5-Find the indicated outputs for f(x) = 5x - 3x Please confirm that it is 5x^2, not 5x… f (0) =0 f(-1) =8 f(2) =14 6-Graph the inaquality on a plane. 4x+ 5y < 20 7- Solve -0.8x< - 32 The solution is {xl___} ( type an inequality) X > 40 8- Find the slop if it exisits x = -2 m = N (slope is undefined) ( simplfy your answer. Type an interger or a fraction. type N if the slope is undefiend) 9-Graph the equation. y=8 horizontal line at y = 8 10- Solve using the addiction and multiplication priciples 1+ 6x < 55 The solution set is { xlx __ __ } ( Type an inequality symbol then type an integer or fraction) X<9 11- Graph the equation. x + 2y = 4 12-Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling 80 miles per hour. Train B is traveling 84 miles an hour. Train A passes a station at 12:20 pm. If train B passes the same station at 12:50 pm, at what time will train B catch up with train A ? When will train B catch up with train A _:_ A.M. or P.M. 80(t+0.5) = 84t 80t + 40 = 84t 4t = 40 T = 10 12:50 pm + 10 hours = 10:50 am 13- 50 % of what munber is 45 The answer is ______ 90 15- Find the domain of the function. g(x) = 7____ 6 - 7x Check the correct domain below X =/ 6/7 (x not equal to 6/7) 16- Solve 0.5x+7< 1.3x -4 The solution set is { xlx __ __ } ( Simplifly your answer.Type an inequality symbol then type an integer or fraction) X >= 13.75 17- Evaluate. r + s for r = 38 and s = 7 9 r + s = ___ ( smplify your answer) 9 =5 18- Solve then graph y-1 > - 17 The solution {yly > } y > -16 -18 -17 -16 -15 -14 (------------ 19- Graph the tline containing the givin pair of points and find the slope (1,2), ( -2,-5) Find the slope of the line m = ( Simplifly your answer.Type an inequality symbol then type an integer or fraction. Type N if the slope is undefind) Slope = rise/run (-5-2)/(-2-1) = -7/-3 = 7/3 20-Determine weather ( 3,6) is a solution of 6x - 4y = 10 Is (3,6) a solution to the equation yes or no ? 6*3 – 4*6 does NOT equal 10 NO 22- solve by the substitution method 3x+ 7y = 26 x = 32 - 7y What is the solution of the system (-3, 5) ( Type an ordered pair. Type an N if there is no solution) 23- Solve -8 < 3x-3 < -2 -5 <= 3x <= 1 -5/3 <= x <= 1/3 the solution {xl_ < x < __ } ( Type integer or fraction) 24The equation y = 1777x + 27,153 can be used to predict the number y of gun death un the USA x years after 2000, that is, x = 0 corresponds to 2000, x = 2 corresponds to x = 2002, x = 4 corresponds to 2004 and so on. Predict the number of gun deaths in 2004 and 2009. In what year will the number of gun deaths be 9383 The predicted gun deaths in 2004 will be 20045 The predicted gun deaths in 2009 will be 20045 The predicted gun deaths will be 9383 in the year 2010 25- Solve by the elimination method. 3r - 2s = 0 2r + 3s = 13 Whats is the solution of the of the system (2, 3) ( Type an ordered pair. Type an interger or a fraction. type N if their is no solution. Type I if there is infinitely many solutions) 26-Solve using the multiplication mehtod. -7x > 1 15 X < -1/105 The solution set is {xlx ___ __ } (Type an inequality symbol and a fraction) 27- The width of a rectangle is fixed at 27 cm. what lenths will make the perimiter greater than 98 cm. The lenth must be greater than 22 cm. 28- Use the destributor property to help you solve the equation. 4(w - 4) = 14 4w – 16 = 14 4w = 30 W = 30/4 W = 15/2 (please confirm that you have typed this question correct, since these usually come out to whole numbers) w = ___ 29- Solve. 5x+1x=5+x 8 16 16 Is this: 5/8 x + 1/16 x = 5/16 + x ??? If so: The solution x = -1 ( simplify your answer. Type intger or fraction) 30- Solve by the elimination method 2x + 3y = 5 4x + 6y = 10 What is the solution of the system. ( Type an ordered pair. Type an interger or a fraction. type N if their is no solution. Type I if there is infinitely many solutions) INFINITE solutions! 31- Solve. 5> 3x + 4 or 12 < - 3x + 5 1 > 3x or 7 <= -3x 1/3 > x or -7/3 >= x (please confirm that you typed this exactly as shown) Choice C: (-inf, -7/3] Choose the equation to the inequality. a) (-oo,- 7 ] u ( - 1 ,oo) b) ( - 1 ,oo) c) (-oo,- 7 ] d) (-oo,oo) 3333 32- Graph on a number line, where x is a real number -2< x < 2 -3 -2 -1 0 1 2 3 (---------] 33- Amy paid $ 64.31 for a pair of shoes during a 35 % off sale. What was the regular price? the regular price was $ 98.94 ( round to the nearest cent if necesary) 34-Graph the equation using the slope and the y interception. y=4x+6 3 35- In 1993, the life expectancy of males in a certain country was 68.8 years. In 1997, it was 70.9 years. Let E represent life expectancy in year t, and let t represent the numbers of years since 1993. The linear function E(t) that fits the data is E(t) = 0.5 t + 68.8 ( round to the nearest tenth) Use the funtion to predict the life expectanct of males in 2005 E(12) = 74.8 ( round to the nearest tenth) 36- Graph the equation x + 4y = 8 37- Find the slope ,if it exist, of the line containing the pair of points. (1,6) and ( 4,- 3 ) the slope m = -3 ( Simplifly your answer.Type an integer or fraction. Type N if the slope is undefind) 38- Decide weater the pair of lines is parallel, perpendicular, or neither. 4x + 3y = 9 4x + 3y = 8 The lines are: c- parallel 39-Translate to an algebraic expression The product of 11 % and some number The translation is 0.11n ( type the percentage as a decimal use n to represent some number) 40- The function H described by H(x) = 2.75x + 71.48 can be used to predict the height, in centimetros, of a woman whose humerus is x cm long. Predict the height of the woman whose humerous is 39 cm long. Predict the height of the woman whose humerous is 39 cm long is 178.73 cm. 41 Solve the following system of equations x + 4y = 9 (1) x = 2 - 4 y (2) What is the solution of the system N (there is no solution) ( type an ordered pair. Type N if there is no solution) 42- Soybean is 16 % protein: cornmeal 8 % protein. How many pounds of each shuld be mixed together in order to get 320 lbs mixture that is 14 % protein. How many lbs of cornmeal 80 How many lbs of soybean 240 43- Solve than graph he solution. 8x > 32 X >= 4 34567 [-------Choose the correct solution c) { xlx > 4 } 44- Graph the system of inequalities y > -2 x>5 45- Use < or > to make the statement true You wrote two different ones! -4 > - 7 -4 > -17 46- Find the domain of the function. 2 p(x) = x - 2x + 2 what is the domian of p ? b) { xlx is a real number} 47- Solve the indicated letter a = 2b, for b The solution is b = a/2 48- Solve using the multiplication principle. Dont forget to perforn a check. -1 x = - 7 28 Is the problem: -1/2 x = -7/8 The solution is 7/4 ( Simplify your answer. Type an intenger or a fraction) 49- Simplify 5 [ - 80- ( 2 - 17) ] = -325 50 Find the slope and the y interception. f(x) = - 10x - 6 The slope is -10 The y interception is (0, -6). 51- Collect like terms 17c +7d - 14 c- 9d 17c +7d - 14 c- 9d = 3c - 2d 52- Plot (0,5) on the cordinates axes Graph to plot the point (0,5) 53- solve using multiplication principle. Don't forget to perform a check. 9x = - 63 The solution x = -7 54-Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and independent or dependant. 5x - 7y = - 35 7y - 5x = 35 a) Infinitely many solutions Is the system consistent. Are the euquations dependant 55- Multiply 1 .( - 3 ) 72 1 .( - 3 ) = ____ (Type an integer or a simplifyed fraction. ) 72 Is this: 1/7 * (-3/2) = -3/14 56- Graph the equation and identify the y interception y + x = - 10 The y interception is (0, -10) ( type an ordered pair)