MATHEMATICS TEST 30 Minutes — 30 Questions pps

2 v v v v v v MATHEMATICS TEST 30 Minutes — 30 Questions Directions: Solve each problem, choose the correct answer, and then fill in the corresponding space on your answer sheet Do not linger over problems that take too much time Solve as many as you can; then return to the others in the time you have left for this test Note: Unless otherwise stated, all of the following should be assumed What is the value of 2x2 + 3x – when x = –1? A B C D E Illustrative figures are NOT necessarily drawn to scale Geometric figures lie in a plane The word line indicates a straight line The word average indicates arithmetic mean D E –5rs2 5r2s2 –7 –5 –3 –1 Denise has tossed a fair coin 100 times It has landed heads up 51 times and tails up 49 times What is the probability that it will land heads up the next time Denise tosses it? 100 G 10 49 H 100 J 51 K 100 F If r ≠ and s ≠ 0, A B C 15r 3s =? −3r 4s –5r –1s2 5r –1s2 5rs2 190 GO ON TO THE NEXT PAGE 2 v v v v v v DO YOUR FIGURING HERE 191 GO ON TO THE NEXT PAGE 2 v v v v –1 –2 –3 v DO YOUR FIGURING HERE In the figure below, PQ is parallel to the y-axis What is the value of a ? y v Q (a, 2) x P (3,–1) F –3 G –1 H J K In ∆ABC below, AB is units long and BC is units long What is the value of sin ? A B A B C D E C 3 4 5 192 GO ON TO THE NEXT PAGE 2 v v J K v v y 4x – 3y 50 85 110 145 175 In the figure below, AC and BD are parallel and EF and GH are parallel; they intersect at points M, N, P, and Q If the measure of ∠AME is 57°, what is the measure of ∠NQH ? A E B 57° M G N P A B C D E F H Q C v Randy has a collection of comic books If you add 15 to the number of comic books in her collection and multiply the sum by three, the result will be 65 less than four times the number of comic books in her collection How many comic books are in her collection? F G H J K v D 57° 93° 114° 123° 153° The area of a rectangular plot of land is equal to (28x2 – 21xy) square feet If the width of the rectangular plot is 7x feet, what is the length, in feet? F G H 7(x – y) 21x – 14y 4x2 – 3xy 193 GO ON TO THE NEXT PAGE 2 v v v v v v DO YOUR FIGURING HERE 194 GO ON TO THE NEXT PAGE 2 v v v v v DO YOUR FIGURING HERE What is the greatest common factor of (32 × 3) and (3 × 2)? F G H J K v 52 × 52 32 × 52 32 × 53 10 In triangle ABC below, ∠ACB is a right angle If AB is units long and BC is units long, how many units long is AC ? A C F G H J K B 2 10 11 Joan has 5% more money in the bank today than she had one year ago If she has $2,520 in the bank now, how much did she have in the bank one year ago? A B C D E $2,000 $2,250 $2,300 $2,315 $2,400 195 GO ON TO THE NEXT PAGE 2 v v v v v DO YOUR FIGURING HERE 12 What is the sum of the solutions of the equation x2 + 4x – = 0? F G H J K v –4 – 2 –4 –2 –4 + 2 13 The equation y = 10x + can be graphed in the standard (x, y) coordinate plane What is the value of the x-coordinate at the point where y = ? A B C D E –4 – – 4 14 The expression p2 – p is equal to which of the following when p = ? F G H J K 3 5 196 GO ON TO THE NEXT PAGE 2 v v v v v v DO YOUR FIGURING HERE 15 Which of the following is a solution for the equation 2x2 + 5x + = 0? −5 + 25 – + 25 –8 = −5 + 25– = = –5 + 25 – = –5 + 25 – A x = B x C x D x E x 16 A certain galaxy contains 27 × stars How many stars is this in terms of a power of 3? F G H J K 310 311 316 324 327 17 Maria has a collection of valuable old baseball cards She has decided to sell of them Jack offers to buy of the ones Maria is selling for $40.00 At this rate, how much would her entire collection be worth? A B C D E $ 160.00 $ 300.00 $ 380.00 $ 480.00 $1,200.00 197 GO ON TO THE NEXT PAGE 2 v v v v G H J K v DO YOUR FIGURING HERE 18 A train travels 50 miles in hour and then r miles in s hours Which expression represents the train's average rate of speed, in miles per hour, for the entire distance? F v 50 + r 1+s 50 + r s 50s + r s 50s + r 1+s 50r s 19 Which of the following expressions describes all of the values of r that are solutions of the inequality – 3r > 12 ? A B C D E –1 < r < r > –1 r >7 r < –7 r < –1 20 The area of a circle is 64π square centimeters What is the diameter, in centimeters? F G H J K 12 16 24 198 GO ON TO THE NEXT PAGE 2 v v v v v v DO YOUR FIGURING HERE 21 What is the area, in square units, of the square whose vertices are located at the coordinate points indicated in the figure? y (2, 7) (–1, 4) (5, 4) (2, 1) x (0, 0) A B C D E 12 16 18 24 22 What is the equation of the parabola graphed in the (x, y) coordinate plane below? y –4 –3 –2 –1 –1 –2 –3 F G H J K x y = x2 + y = x2 y = x2 y = –x2 –1 y = x2 –1 199 GO ON TO THE NEXT PAGE 2 v v v v v DO YOUR FIGURING HERE 23 Which of the following best describes cos x as x increases from π to π? A B C D E v It decreases from to –1 It increases from to It decreases from to It increases from –1 to It decreases from to –1 24 In the figure below, S is the center of the square WXYZ, and ST is perpendicular to XY If the perimeter of WXYZ is a, what is the length of ST in terms of a ? W Z S X F G H J K T Y a 16 a a a a 25 (3 – )(3 + ) = ? A B C D E –4 9 –4 33 15 200 GO ON TO THE NEXT PAGE 2 v v v v 25 15 F G H J K v H 80° J 90° K 100° 26 Rob is experimenting with kites of various shapes, such as the one shown in the illustration If all the dimensions are given in inches, what is the area of the kite in square inches? 25 v 15 475 525 575 600 625 27 When positive integer n is divided by 8, the remainder is What is the remainder when 5n is divided by ? A B C D E 28 In ∆ABC below, the sum of the measures of ∠ABC and ∠BAC is 100° What is the measure of ∠ACB ? A B F G C 20° 50° 201 GO ON TO THE NEXT PAGE 2 v v v v v v DO YOUR FIGURING HERE STOP! END OF SECTION DO NOT TURN TO ANY OTHER SECTION 202 v v v v v DO YOUR FIGURING HERE 29 A rectangular concrete pavilion with dimensions 20 feet by 25 feet is to be covered by a tarp in case of rain If the tarp is made large enough to extend feet beyond the edge of the pavilion on all sides, by how many square feet is the area of the tarp greater than the area of the pavilion? A B C D E v 144 206 244 294 306 30 A recipe calls for sugar, water, and flour in the volume ratio : : 4, respectively If cup of water is used, how many cups of flour are required? F G H J K 1 1 203 GO ON TO THE NEXT PAGE 2 v v v v v v THERE IS NO TEST MATERIAL ON THIS PAGE STOP! END OF SECTION DO NOT TURN TO ANY OTHER SECTION 204 ... feet is the area of the tarp greater than the area of the pavilion? A B C D E v 144 206 244 294 306 30 A recipe calls for sugar, water, and flour in the volume ratio : : 4, respectively If cup of... $2,520 in the bank now, how much did she have in the bank one year ago? A B C D E $2,000 $2,250 $2 ,300 $2,315 $2,400 195 GO ON TO THE NEXT PAGE 2 v v v v v DO YOUR FIGURING HERE 12 What is the sum... selling for $40.00 At this rate, how much would her entire collection be worth? A B C D E $ 160.00 $ 300 .00 $ 380.00 $ 480.00 $1,200.00 197 GO ON TO THE NEXT PAGE 2 v v v v G H J K v DO YOUR FIGURING