TEASE MATH PRACTICE TEST 1

Simplify the expression. 1.034 + 0.275 - 1.294 A. 0.015 B. 0.15 C. 1.5 D. -0.15

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

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

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

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

A. 123 ls Multiply 56x2.2. The result is 123.2.

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

A. 30c+5p ≤ 100 The inequality will be less than or equal to, since he may spend $100 or less on his purchase.

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%

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.

The table shows the cost of renting a bike for 1,2,3 hours. Which of the following equations best represents the data? Let C stand for cost and h stand for time of rental. Hours 1 2 3 Cost $3.60 $7.20 $10.80 A. C=3.6H B. C=H +3.6 C. C= 3.6H +10.80 D. C = 10.80/H

A. C= 3.6H

Four more than a number, x, is 2 less than 1/3 of another number, y. Which of the following algebraic equations correctly represents the sentence above? A. x+4 = 1/3y - 2 B. 4x = 2-1/3y C. 4-x = 2+ 1/3y D. x+4 = 2-1/3y

A. x+4 = 1/3y - 2

7 + 16 - (5+6x3) - 10 x 2 Simplify the following. A. -42 B. -20 C. 23 D. 20

B. -20 7 + 16 - (5+6x3) - 10 x 2 5+18 7 + 16 - 23 -10 x 2 -20 7+16-23-20 -43+23 -20

Simplify the following expression 0.00178 x 2.401 A. 2.0358414 B. 0.0427378 C. 0.2341695 D. 0.3483240

B. 0.0427378 Simply multiply

Simplify 3 and 1/6 - 1 and 5/6 A. 2 and 1/3 B. 1 and 1/3 C. 2 and 1/9 D. 5/6

B. 1 and 1/3 19/6 - 11/6 = 8/6 1 and 2/6 simplifies to 1 and 1/3

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

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.

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

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

Margery is planning a vacation, and she has added up the cost. Her round-trip airfare will cost $572. Her hotel is $89/night, and she will be staying at the hotel for 5 nights. She has allowed a total of $150 for sightseeing during her trip, and she expects to spend $250 on meals. As she books the hotel, she is told she will receive a discount of 10% per night off the price of $89 after the first night she stays there. Taking this discount into consideration, what is the amount that Margery expects to spend on her vacation? A. $1328.35 B. $1373.50 C. $1381.40 D. $1417.60

C. $1381.40 572+ 150 +250 89 + 320.4 (89*4*.1)

Simplify the expression 1/4 x 3/5 ÷ 1 and 1/8 A. 8/15 B. 27/160 C. 2/15 D. 27/40

C. 2/15 3/20 ÷ 9/8 3/20 x 8/9 1/5 x 2/3 = 2/15

A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can? A. 17.2 in cubed B. 19.4 in cubed C. 21.2 in cubed D. 23.4 in cubed

C. 21.2 in cubed The volume of a cylinder may be calculated by using the formula V=π*r2(squared)*h r-radius, h-height Substituting 1.5 for radius and 3 for height gives: V=π*(1.5)2*(3) V=21.2 in cubed

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%

C. 26% Cora did not fall 7 out of 27 times. To find the solution, simply divide 7 by 27 to arrive at .259 or 26%.

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

C. 28 miles One kilometer is about .62 miles, so 45 x .62 = 27.9 or approximately 28 miles

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

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

A gift box has a length of 14 inches, a height of 8 inches, and a width of 6 inches. How many square inches of wrapping paper are needed to wrap the box? A. 56 B. 244 C. 488 D. 672

C. 488 The surface area of a rectangular prism may be calculated using the formula SA=2lw + 2wh + 2hl Substituting the dimensions gives us the following: SA= 2(14)(6) + 2(6)(8) + 2(8)(14) Thus the surface area is 488 square inches.

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

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.

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

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

4(2x-6) = 10x-6 Solve for x A. 5 B. -7 C. -9 D. 10

C.-9 4(2x-6) = 10x-6 8x-24 = 10x-6 -8x -8x -24 = 2x -6 +6 +6 -18 = 2x x=-9

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

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.

Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 25% to pay off an old debt. He has $600 remaining from his bonus. What was the total amount of Chan's bonus? A. $3000 B. $3200 C. $3600 D. $4000

D. $4000 Chan has paid out a total of 85% (30% +30% + 25%) of his bonus. So the $600 is the remaining 15%. To find out his total bonus solve 100/15x600=4000

2x + 4 = x - 6 Solve for x A. -12 B. 10 C. -16 D. -10

D. -10 2x + 4 = x - 6 -4 -4 2x = x - 10 -x -x x= -10

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

D. -8, -7 and 4/5, -3/4, 18%, 0.25, 2.5

Which of the following is the percent equivalent to 0.0016 A. 16% B. 160% C. 1.6% D. 0.16%

D. 0.16% To derive a percentage from a decimal, multiply by 100: 0.0016 x 100 = 0.016%

Simplify 2/7 ÷ 5/6 A. 2/5 B. 35/12 C. 5/21 D. 12/35

D. 12/35

7/3, 9/2, 10/9, 7/8 Arrange the numbers from least to greatest. A. 10/9, 7/3, 9/2, 7/8 B. 9/2, 7/3, 10/9, 7/8 C. 7/3, 9/2, 10/9, 7/8 D. 7/8, 10/9, 7/3, 9/2

D. 7/8, 10/9, 7/3, 9/2

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

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.

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

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.

2x - 7 = 3 Solve for x. A. x=4 B. x=3 C. x= -2 D. x=5

D=5 2x - 7 = 3 +7 +7 2x = 10 x=5