TEASE MATH PRACTICE TEST 1 -2022

Which of the following is the percent equivalent to 0.0016 A. 16% B. 160% C. 1.6% D. 0.16% - ANSWER D. 0.16% To derive a percentage from a decimal, multiply by 100: 0.0016 x 100 = 0.016% Curtis is taking a road trip through Germany, where all distances signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles? A. 42 miles B. 37 miles C. 28 miles D. 16 miles - ANSWER C. 28 miles One kilometer is about .62 miles, so 45 x .62 = 27.9 or approximately 28 miles On a floor plan drawn at a scale of 1:100, the area of a rectangle room in 30cm2. What is the actual area of the room? A. 30,000 cm2 B. 300 m2 C. 3,000 m2 D. 30 m2 - ANSWER D: 30m2 Since there are 100 cm in a meter, on a 1:100 scale drawing, each centimeter represents one meter. Therefore, an area of one square centimeter on the drawing represents one square meter in actuality. Since the are of the room in the scale drawing is 30cm2, the room's actual area is 30m2. Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. How much does one box of crackers cost? A. $1.75 B. $2.00 C. $2.25 D. $2.50 - ANSWER C: $2.25 The situation may be modeled by the system 4x + 3y = 9.55 2x + 2y = 5.90 Multiplying the bottom equation by -2 gives: 4x + 3y = 9.55 -4x - 4y = -11.80 Addition of the two equations gives -y =-2.25 or 2.25. Pernell's last five consecutive scores on her chemistry exams where as follows: 81, 92, 87, 89, 94 What is the average of her scores? A. 81 B. 84 C. 89 D. 91 - ANSWER C. 89 To find the average, add them all up and then divide by the number of scores (5) 81+92+87+89+94 = 443/5 = 88.6, rounded to 89 Pernell's last five consecutive scores on her chemistry exams where as follows: 81, 92, 87, 89, 94 What is the median of her scores? A. 87 B. 89 C. 92 D. 94 - ANSWER B. 89 To find the median, list the series of numbers from least to greatest. The middle number is the median. 81, 87, 89, 92, 94 Gordon purchased a tv when his local electronics store had a sale. The tv was offered at 30% off of its original price of $472. What was the sale price that Gordon paid? A. 141.60 B. 225.70 C. $305.30 D. $330.40 - ANSWER D: $330.40 The tv is 30% off its original price of $472. 30% of $472 is 141.60, and $141.60 subtracted from $472 is $330.40. Thus, Gordon paid $330.40. Simplify the following expression. 2/3 ÷ 4/15 x 5/8 A. 1 and 9/16 B. 1 and 1/4 C. 2 and 1/8 D. 2 - ANSWER A. 1 and 9/16 To simplify, proceed in the order of operations 2/3 ÷ 4/15 = 2/3 x 15/4 which simplifies to 5/2 NEXT multiply the 5/2 by 5/8 The result is 25/16 or 1 and 9/16 Simplify the following expression 0.00178 x 2.401 A. 2. B. 0. C. 0. D. 0. - ANSWER B. 0. Simply multiply Tom needs to buy ink cartridges and printer paper. Each ink cartridge cost $30. Each ream of paper costs $5. He has $100 to spend. Which of the following inequalities may be used to find the combinations of ink cartridges and printer paper that he may purchase. A. 30c+5p ≤ 100 B. 30c+5p 100 C. 30c+5p 100 D. 30c+5p ≥ 100 - ANSWER A. 30c+5p ≤ 100 The inequality will be less than or equal to, since he may spend $100 or less on his purchase. 4(2x-6) = 10x-6 Solve for x A. 5 B. -7 C. -9 D. 10 - ANSWER C.-9 4(2x-6) = 10x-6 8x-24 = 10x-6 -8x -8x -24 = 2x -6 +6 +6 -18 = 2x x=-9 Erma has her eye on two seaters at her favorite clothing store, but she has been waiting for a sale. This week the store advertises that all clothing purchases, including sweaters, come with an incentive of 25% off of a second item of equal or lesser value. One sweater is $50 and the other is $44. If Erma purchases the sweaters during the sale, what will she spend? A. 79 B. 81 C. 83 D. 85 - ANSWER C. 83 Erma's sale discount will be applied to the lesser expensive sweater, so she will receive the $44 sweater for 25% off. This amount of $11, so the cost of the sweater will be $33. Added to the cost of the $50 sweater her total will be $83. Jerry needs to load four pieces of equipment on to a factory elevator that has a weight limit go 800 lbs. Jerry weighs 200 lbs. What would the average weight of each item have to be so that the elevators weight limit is not exceeded assuming Jerry accompanies the equipment. A. 128 lbs B. 150 lbs C. 175 lbs D. 180 lbs - ANSWER B. 150 lbs To solve, first subtract Jerry's weight from the total permitted: 800-200=600 Divide 600 by 4 (the four pieces of equipment) to get 150, the average weight. Simplify the following expression: 4 and 2/3 divided by 1 and 1/6 A. 2 B. 3 and 1/3 C. 4 D. 1/2 - ANSWER C. 4 Turn both expressions into fractions, and then multiply the first by the reverse of the second. 14/3 ÷ 7/6 14/3 x 6/7=4 Simplify the expression. 1.034 + 0.275 - 1.294 A. 0.015 B. 0.15 C. 1.5 D. -0.15 - ANSWER A. 0.015 Start by adding the first two expressions, and then subtract 1.294 from the sum: 1.034 + 0.275 = 1.309 1.309 - 1.294 = 0.015 2x + 4 = x - 6 Solve for x A. -12 B. 10 C. -16 D. -10 - ANSWER D. -10 2x + 4 = x - 6 -4 -4 2x = x - 10 -x -x x= -10 If Stella's current right is 56 kilograms, which of the following is her approximate weight in pounds? (Note: 1 kg =2.2 lbs) A. 123 lbs B. 110 lbs C. 156 lbs D. 137 lbs - ANSWER A. 123 ls Multiply 56x2.2. The result is 123.2. Which of the following is listed in order from least to greatest? A. -3/4, -7 and 4/5, -8, 18%, 0.25, 2.5 B. -8, -7 and 4/5, -3/4, 0.25, 2.5, 18% C. 18%, 0.25, -3/4, 2.5, -7 and 4/5, -7 D. -8, -7 and 4/5, -3/4, 18%, 0.25, 2.5 - ANSWER D. -8, -7 and 4/5, -3/4, 18%, 0.25, 2.5 2x - 7 = 3 Solve for x. A. x=4 B. x=3 C. x= -2 D. x=5 - ANSWER D=5 2x - 7 = 3 +7 +7 2x = 10 x=5 Between the years 2000, and 2010, the number of births in the town of Daneville increased from 1432 and 2219. Which of the following is the approximate % of increase in the number of births during those 10 years? A. 55% B. 36% C. 64% D. 42% - ANSWER A. 55% Begin by subtracting 1432 from 2219. The result is 787. Then divide 787 by 1432 to find the increase: 0.549 or 54.9%. Rounded up, this is approximately a 55% increase in births between 2000 and 2010. Simplify the expression 1/4 x 3/5 ÷ 1 and 1/8 A. 8/15 B. 27/160 C. 2/15 D. 27/40 - ANSWER C. 2/15 3/20 ÷ 9/8 3/20 x 8/9 1/5 x 2/3 = 2/15 While at the local ice skating rink, Cora went around the rink 27 times total. She slipped and fell 20 of the 27 times she skated around the rink. What approximate % of times around the rink did Cora not fall? A. 37% B. 74% C. 26% D. 15% - ANSWER C. 26%