Math 115 MET *** SAMPLE*** The actual test will have 25 questions (At least 20 will be multiple choice similar to below) Updated Summer 2014
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1 Math 11 MET *** SAMPLE*** The actual test will have 2 questions (At least 20 will be multiple choice similar to below) Updated Summer 201 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Linear 1) Evaluate: -7-2 (-) - (-) A) 10 B) -6 C) 6 D) - 2) Simplif: 2 - (3 + ) A) 2-1 B) 3-1 C) -3-1 D) - 2 3) Simplif: (r + s + 1) - (r - s) + (s + ) A) -r + s + B) -r + s + C) -r + 6s + D) -6r + 6s + ) Write the equation in slope-intercept form = 37 A) = B) = C) = D) = Solve the equation. The solution is between which pair of numbers? ) 36 = 9-9 A) 0 and 3 B) -6 and - C) 7 and 9 D) and 6 6) Solve the equation. 8w - 1 = 9-10w A) 9 B) 9 C) - 9 D) - 1 7) Solve: the equation. The solution is between which pair of numbers? (-3 - ) = -8 - A) 3 and B) 6 and 9 C) - and -1 D) 0 and 2 8) Determine the number of solutions there are when solving the equation: - = + 3 A) No solutions B) Infinitel man C) One solution Write the phrase as a mathematical epression. Use to represent the number. 9) Five times a number, added to the sum of the number and si. A) + 6 B) 6 C) 11 D) ( + 6) + 10) Solve the inequalit: -2a - 19 > -3 A) a > -8 B) a -8 C) a < -8 D) a -8 1
2 11) Graph the inequalit on a number line: a < -6 A) B) C) D) ) The temperature, t, in degrees Fahrenheit, of water being heated is F = m where m is the number of minutes since heating began. How long will it take for the temperature of the water to reach 70 degrees Fahrenheit? A) 9 minutes B) 6 minutes C) 2 minutes D) 12 minutes 13) The trout population in Clear Lake is decreasing about 60 fish per ear. This ear there are about 30 fish in the lake. Write an epression for the number of trout in the lake t ears from now. A) 30-60t B) 60t = 30 C) t = D) 370t 1) Pat weighs 20 pounds and decides to go on a diet. Pat loses 3 pounds per week. What is the equation for Patʹs weight, W, in terms of the number of weeks, t, since going on the diet? A) W = t B) W = -3t C) W = 3-20t D) W = 20-3t Find the linear equation for the data. 1) A) = - 6 B) = -3-6 C) = + 6 D) = Find the slope of the line. 16) A) 1 3 B) -3 C) D) 3 2
3 17) Find the slope of the line joining (1, ) and (-6, -2) A) B) - 2 C) 6 7 D) ) The cost of housing and tuition at State Universit is given b C = u, where u is the number of units ou take. What does the slope of the graph tell ou? A) Housing costs $200. B) Tuition at State Universit is increasing. C) How man units ou are taking. D) Tuition costs $2 per unit. Use the graph to solve the problem. 19) Find the rate of change of the temperature of the water being heated Minutes since heating started (marked in 1 minute increments) A) 1 degree per minute B) 1 minutes per degree C) 2. degrees per minute D) 2. minutes per degree 20) Gregor purchased a treadmill on a monthl installment plan. After t months, Gregor still owes a balance of B dollars. (See graph below) What does the slope mean in the contet of the problem? 00 B t A) He pas $8 each month B) He is paing off his purchase at a rate of $0 per month C) It took 0 months to pa off loan D) He owes $00 3
4 21) Find the intercepts of the graph: 2-30 = 1200 A) (2, 0), (0, -0) B) (8, 0), (0, -0) C) (8, 0), (-0, 0) D) (8, -0), (12000, 0) Graph the equation. 22) 3-9 = 18 A) B) C) D) ) Gregor purchased a treadmill on a monthl installment plan. After t months, Gregor still owes a balance of B dollars. (See graph below) What does the horizontal and vertical intercepts mean in the contet of the problem? B t A) He is paing of his purchase at a rate of $0 per month B) He is paing $00 ever ear C) Gregor will pa off his loan in 00 months and he purchased the treadmill for $8. D) Gregor will pa off his loan in 8 months and he purchased the treadmill for $00.
5 Find the equation of the line in slope-intercept form. 2) A) = -2-1 B) = C) = + 2 D) = 1/ ) Which of these graphs below is the graph of a line through the point (0, ) with slope - 1 A) B) C) D)
6 Solve the problem. 26) Bets doesnʹt trust banks, so her savings are hidden under her mattress. Hsien-Ta has his savings in an investment at simple interest. In approimatel what ear did the have the same amount? A) 1986 B) 1989 C) 1988 D) ) Solve the sstem of equations: 3 + = = 6 A) (12, -6) B) (-, 6) C) = D) None of these 28) What is the -value of the solution to the sstem? -7 + = + 3 = 3 A) =0 B) =-1 C) =2 D) No solutions 29) The perimeter of a rectangle is 22 cm. The length is 7 cm longer than the width. Write an equation where w is the width that ou would use to find the length and width of the rectangle. A) w+w+7=22 B) w(w+7)=22 C) 2w+2(w-7)=22 D) 2w+2(w+7)=22 30) There were 60 people at a pla. The admission price was $2 for adults and $1 for children. The admission receipts were $970. How man adults and how man children attended? A) 16 adults and 8 children B) 320 adults and 330 children C) 330 adults and 320 children D) 22 adults and 08 children 31) A chemist needs 70 milliliters of a 0% solution but has onl 32% and 60% solutions available. How man milliliters of each should be mied to get the desired solution. A) 10 ml of 32%; 60 ml of 60% B) 60 ml of 32%; 10 ml of 60% C) 0 ml of 32%; 20 ml of 60% D) 20 ml of 32%; 0 ml of 60% 32) How much pure acid (100%) should be mied with 6 gallons of a 0% acid solution in order to get an 80% acid solution? A) 2 B) 9 C) 3 D) 1 6
7 33) Aleander and Jud are 32 miles apart on a calm lake paddling toward each other. Aleander paddles at miles per hour, while Jud paddles at 8 miles per hour. How long will it take them to meet? A) hrs B) hrs C) 19 hrs D) hrs 3) Julie and Eric row their boat (at a constant speed) 63 miles downstream for 7 hours, helped b the current. Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the current. A) 0. mph B) 1 mph C) 2 mph D) 8 mph Quadratic 3) Multipl: (7 + m)(7 - m) A) 9-1 m - m2 B) m - m2 C) 1 - m2 D) 9 - m2 36) Multipl: ( + 2)(3 + 9) A) B) C) D) ) Factor: A) ( - 6)( - ) B) ( + 6)( + ) C) ( - 6)( + ) D) ( - 30)( - 1) 38) Factor: 2-2 A) ( - )2 B) ( + )2 C) ( - )( + ) D) Not possible 39) For the equation =2+- find the coordinate when the coordinate is A) 19 B) - C) 27 D) 3 7
8 Graph the equation. 0) = 2 - A) B) C) D) ) Solve: = 0 A) = 8 3, = -1 B) = 3 8, = -1 C) = 3 8, = 0 D) = 3 8, = 1 2) Solve: 2-3 = 2 A) -3 ± 1 8 B) 3 ± 23 8 C) -33 ± 23 8 D) 3 ± 1 8 3) Solve: 2 = -6-1 A) -6 ± B) -3 ± 8 C) -3 ± D) -3 ± 13 Solve the problem. ) A ball is dropped from a cliff that is 176 feet high. As it is falling, its height is given b the formula h = t2. How man seconds (in tenths) will it take for the ball to hit the ground (h = 0)? A) 1936 sec B) 13.3 sec C) 3.3 sec D) 12.6 sec 8
9 Laws of Eponents Provide an appropriate response. ) Identif the base and eponent in the Epression -32 A) Base: 2, eponent: B) Base: -3, eponent: 2 C) Base: 2, eponent: -3 D) Base:, eponent: 2 6) Simplif.: m m9 m8 A) m22 B) m66 C) (3m)22 D) m360 7) Simplif.: (-3 2 ) 2 A) B) none of these C) D) Convert to standard notation. 8) A) 323. B) 6,700 C) 67,000 D) 6,70,000 Simplif. Do not use negative eponents in our answer. 9) (-79)(--) A) 3 B) 11 C) 11 D) ) Multip and Simplif: 3p - 3 p 3p2 p - A) 9p 3-9p2 p2 - p B) 12p 2 + 2p p3 C) 9p D) 9p 1) Divide and Simplif: A) 2 + B) C) 2 D) 1 2 2) Add: 7 m m m + 7 A) 1 B) m C) 7m m + 7 D) 7 9
10 3) Subtract: A) B) 2( - 1) 102 C) D) ) Subtract: + 2 A) B) - 2 C) D) ) Solve: - 7 = 2 A) 1 B) 6 3 C) 8 D) 28 6) Solve: = 3-2 A) 7 B) C) 1 D) 2 Solve the formula for the specified letter. A 7) P = 1 + rt for r A) r = P - ta B) r = A - P Pt C) r = P - 1 At D) r = P - A 1 + t Write a proportion that models the situation described. 8) is to 12, as 3 is to A) 12 = 3 B) 1 12 = 3 C) 12 = 3 D) = ) Solve the proportion. 2 9 = A) = 10 B) = C) = D) = 60) A recipe calls for 38 grams of flour and 220 grams of sugar. Write an equation to find how much sugar ou should use with 30 grams of flour. A) = 30 + B) = 30 C) = 38 D) = 30 10
11 61) Solve = 3 A) 11 B) 1 3 C) 8 D).36 62) Which table shows proportional variables A) B) C) D) Square Roots 63) Simplif the epression A) - 3 B) -1. C) -3 D) - 3 6) Multipl: 0 2 A) 10 B) 100 C) 2 D) 6) Julie runs diagonall across a rectangular field that measures 0 feet b 120 feet. How far does she run? A) 130 feet B) 170 feet C) 30 feet D) 6000 feet 66) Simplif the epression A) 9 1 B) 2 1 C) 2 2 D) ) Divide: 2 A) B) 3 C) 2 D) 22 11
12 WORKOUT. Show all work and our answer in the space provided on the answer sheet. 68) Lauren bought a new car in the ear After ears, the car is worth Y dollars Y (a) What is the slope? Eplain what the slope means in the contet of this problem. Write our answer in a complete sentence. (b) What is the -intercept? Eplain what the -intercept means in the contet of this problem. Write our answer in a complete sentence. (c) Eplain what the point (, 12000) means in the contet of this problem. Write our answer in a complete sentance. 69) The Olmpus Health Club charges an initial fee of $230, plus $1 monthl dues. a) Write an equation for the total cost of belonging to Olmpus Health Club, C, for months. (b) If Roger belonged to the health club for one ear, how much did it cost Roger? (c) If Rogerʹs total cost was $36, how long was he a member of the health club? 70) Three pounds of nuts and 2 pounds of raisins cost $19. Two pounds of nuts and pounds of raisins cost $20. Let n represent the cost of one pound of nuts and r represent the cost of one pound of raisins. a) Write a sstem of equations to find the cost of one pound of nuts and one pound of raisins. (b) Solve the sstem of equations in part (a) (c) Find the cost of each. Write our answer in a complete sentence. 71) A college student earned $100 during summer vacation working as a waiter in a popular restaurant. The student invested part of the mone at 8% and the rest at 6%. The student received a total of $380 in interest at the end of the ear. (a) Write the equation(s) to find the amount that was invested at 8%. Be sure to state what our variable(s) represent. (b) Solve the equation(s) in part (a). (c) Find the amount that was invested at 8%. Write our answer in a complete sentence. 72) How man liters (L) of a 10% silver iodide solution must be mied with 20L of a % silver iodide solution to get a 6% solution? (a) Write a nequation that modesl the problem. (b) Solve the squation in part (a) (c) Answer the question. Write our answer in a complete sentence. 12
13 Answer Ke Testname: MET11SAMPLESUMMER 1 1) C 2) C 3) C ) C ) D 6) B 7) D 8) A 9) D 10) C 11) D 12) D 13) A 1) D 1) D 16) B 17) C 18) D 19) C 20) B 21) B 22) A 23) D 2) B 2) B 26) B 27) B 28) A 29) D 30) B 31) C 32) B 33) A 3) B 3) D 36) A 37) A 38) C 39) C 0) B 1) A 2) D 3) C ) C ) D 6) A 7) D 8) C 9) B 0) D 13
14 Answer Ke Testname: MET11SAMPLESUMMER 1 1) C 2) A 3) B ) A ) B 6) C 7) B 8) B 9) B 60) D 61) A 62) B 63) C 6) A 6) A 66) D 67) A 68) a) Laurenʹs car is depreciating at a rate of $1200 per ear. b) (0, 18000) Lauren purchased the car for $18000 c) After ears the cost is $12,000 69) a) C = b) Rogerʹs cost after one ear is $10 c) After 9 months 70) a) 3n + 2r = 19 2n + r = 20 b) n= and r=2 c) The cost of one pound of nuts is $ and the cost of one pound of raisins is $2. 71) (a) Let = amount invested in 8% account and = amount invested in 6% account + = = 380 (b) (3700, 100) (c) The student borrowed $3700 from the 8% account 72) (a) Let = the number of liters in the 10% solution (20) = (20+).06 (b) = 10 (c) There were 10L in the 10% silver iodide solution. 1
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