*** SAMPLE*** The actual test will have 25 questions (At least 20 will be multiple choice similar to below)
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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) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate. 1) -7-2 (-) - (-) ) Simplif. 3) 2 - (3 + ) Solve. ) 8w - 1 = 9 - w ) (-3 - ) = ) Determine the number of solutions there are when solving the equation: - = + 3 No solutions Infinitel man One solution 7) Solve the inequalit: -2a - 19 > -3 a > -8 a -8 a < -8 a -8 8) Graph the inequalit on a number line: a < Write the phrase as a mathematical epression. Use to represent the number. Combine like terms if possible. 9) Five times a number, added to the sum of the number and si ( + 6) + 1
2 ) 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? 9 minutes 6 minutes 2 minutes 12 minutes 11) The trout population in Clear Lake is decreasing be about 60 fish per ear. This ear there are about 30 fish in the lake. Write an epression fro the number of trout in the lake t ears from now t 60t = 30 t = t 12) Pat weighs 20 pounds and decides to go on a diet. Pat looses 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? W = t W = -3t W = 3-20t W = 20-3t 13) Which table could be described b a linear equation? Find the linear equation for the data. 1) = - 6 = -3-6 = + 6 = Determine whether the ordered pair is a solution for the given equation. 1) = 9 -, (, ) Yes No 16) Find the intercepts of the graph: 2-30 = 1200 (2, 0), (0, -0) (8, 0), (-0, 0) (8, -0), (12000, 0) (8, 0), (0, -0) 2
3 Use the graph to solve the problem. 17) Find the rate of change of the temperature of the water being heated Minutes since heating started (marked in 1 minute increments) 1 degree per minute degrees per minute 2. degrees per minute 2 degrees per minute 18) 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? Housing costs $200. Tuition at State Universit is increasing. How man units ou are taking. Tuition costs $2 per unit. 19) The equation below gives the number of acres of rain-forest left in the world, where is in millions of square kilometers, and is the nubmer of ears since = 110 What does the -intercept of the graph tell ou? There are 0 million square kilometers of rain-forest left. In 8 ears, there will be 0 million square kilomethers of rain-forest left. In 190, ther were 11. million square kilometers of rain forest. The rain-forest is shrinking b 8 million square kilometers per ear. Identif the coordinates of each point in the graph. 20) (-, -) (-, ) (7, -) (, -) 3
4 Find the slope of the line. 21) ) Find the slope of the line joining (1, ) and (-6, -2) ) Which of these graphs below is the graph of a line through the point (0, ) with slope
5 Find the equation of the line in slope-intercept form. 2) = -2-1 = = + 2 = 1/ ) Find an equation for the line of Ssope that passes through (3, ) = = = = Graph the equation. 26) 3-9 =
6 Solve the problem. 27) 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? ) Solve the sstem of equations: 3 + = = 6 (12, -6) = 18 = (-, 6) 29) What is the -value of the solution to the sstem? -7 + = + 3 = 3 =0 =-1 =2 No solutions Convert to decimal notation. 30) 6.7 6,70, ,700 67,000 Simplif. Do not use negative eponents in our answer. 31) (-79)(--) Simplif. 32) Multipl. 33) ( 7 + m)( 7 - m) 9-1 m - m m - m2 1 - m2 9 - m2 3) ( + 2)(3 + 9)
7 3) ( - 3)( ) Factor the trinomial. 36) ( - 6)( - ) ( + 6)( + ) ( - 6)( + ) ( - 30)( - 1) Factor. 37) 2-2 ( - )2 ( + )2 ( - )( + ) Not possible 38) 1z2 + 8z - 16 (3z + )(z - ) (1z + )(z - ) (1z + 1)(z - 16) (3z - )(z + ) Multipl and reduce to lowest terms. 39) z 2 + 1z + 9 z2-36 z 2 + 6z z + 7 z(z + 7) z + 6 z z + 6 z(z + 7) z - 6 (z + 7) z - 6 0) Add: 7 m m m m 7m m ) Subtract: ) Add: m - 2 m2 + m m + 3 m2 + 3m - 28 m+ 1 2m m - 7 m2 + 9m + 17 (m + 7 )(m + 3 )(m - ) m + 1 m2 + 9m + 17 (m - 7 )(m - 3 )(m + ) Solve. 3) - 7 =
8 ) = Solve the formula for the specified letter. A ) P = 1 + rt for r r = P - ta r = A - P Pt r = P - 1 At r = P - A 1 + t Add. 6) (r + s + 1) - (r - s) + (s + ) -r + s + -r + 6s + -r + s + -6r + 6s + Provide an appropriate response. 7) Identif the base and eponent in the Epression -32 Base: 2, eponent: Base:, eponent: 2 Base: 2, eponent: -3 Base: -3, eponent: 2 Simplif. 8) m m9 m8 m66 m22 (3m)22 m360 9) (-3 2 ) none of these 0) The perimeter of a rectangle is 22 cm. The length is 7 cm longer than the width. What are the length and width of the rectangle? Length: 7 cm; width: 2 cm Length: 11 cm; width: cm Length: 13 cm; width: 6 cm Length: 9 cm; width: 2 cm 1) Anne has 1 coins in her pocket consisting of nickels and dimes onl. The total value of the coins is $1.2. Write a sstem of equations where is the number of nickels and is the number of dimes that ou would use to answer the question ʺHow man nickels and how man dimes does she have?ʺ + = = = = = 1 + = = = 1.2 8
9 2) Alice starts jogging at miles per hour. One half hour later, Bob jogs over the same route at 6 miles per hour. Set up a sstem of equations where is the time of Alice and is the time of Bob that ou would use to answer the question ʺ How long will it take to Bob catch up with Alice?ʺ + 6 = 1 2 = 6 = = 1 2 = 6 = = = 1 2 Solve. 3) How much pure acid (0%) should be mied with 6 gallons of a 0% acid solution in order to get an 80% acid solution? ) 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? 1 7 hrs 2 3 hrs 19 hrs hrs Solve the following equations. ) = 0 = 3 8, = 1 = 3 8, = 0 = 8 3, = -1 = 3 8, = -1 6) 2 = ± 13-6 ± -3 ± -3 ± 8 7) One of the solutions of 22 - = 7 is between 1 and 2 between 2 and 3 between 3 and between and Solve the problem. 8) 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)? 1936 sec 12.6 sec 3.3 sec 13.3 sec Solve. 9) 2( - )2 = , -7 7, 1 3, -3 9
10 Graph the equation. 60) = Simplif the epression. 61) ) Solve. 63) + 2 = 6 = 3 = 38 = 6 = 36 Write a proportion that models the situation described. 6) is to 12, as 3 is to 12 = = 3 12 = 3 = 12 3
11 Solve the proportion. 6) 2 9 = = = = = 66) 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 = = = = 30 67) Solve = ) Which table shows proportional variables
12 Answer Ke Testname: MET11SAMPLEF08 1) C 2) B 3) C ) B ) D 6) A 7) C 8) D 9) D ) D 11) A 12) D 13) B 1) D 1) A 16) D 17) C 18) D 19) C 20) D 21) B 22) C 23) B 2) B 2) B 26) A 27) B 28) D 29) A 30) D 31) B 32) A 33) D 3) A 3) D 36) A 37) C 38) A 39) C 0) A 1) A 2) C 3) B ) C ) B 6) B 7) B 8) B 9) A 0) D 12
13 Answer Ke Testname: MET11SAMPLEF08 1) D 2) B 3) C ) D ) C 6) C 7) A 8) C 9) C 60) B 61) D 62) B 63) A 6) B 6) B 66) D 67) A 68) B 13
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