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ATI TEAS MATHEMATICS EXAM QUESTION BANK WITH COMPLETE 350 QUESTIONS AND CORRECT DETAILED SOLUTIONS JUST RELEASED THIS YEAR.pdf
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QUESTION: The sum of two numbers is 20. Which of the following equation states that the product of one number and the square of the other number is 50? a. x^2(x + 20) = 50 b. x(20 + x)^2 = 50 c. x(x - 20)^2 = 50 d. x^2(20 - x) = 50 - ANSWER✔✔d. x^2(20 - x) = 50 Let x equal one number, then 20 - x equals the other number. The phrase "the product of one number and the square of the other is 50" could be represented by either x2(20 - x) = 50 or x(
d. 85% - ANSWER✔✔b. 20% To determine the percent of the discount, take the discount amount ($15) and divide by the original price ($75). This equals 0.2, which is equivalent to 20%. QUESTION: 8 - 12z = 92 solve the equation for z. Which of the following is correct? a. - 81/ b. 7 c. - 7 d. 81/3 - ANSWER✔✔c. - 7 This is the result of subtracting 8 from both sides of the equation, then dividing the remaining values by - 12. The quotient is negative, because a positive divided by a negative results in a negative value. QUESTION: A box has a length of 2 1/2 feet, a width of 3 1/3 feet, and a height of 4 1/4 feet. The formula for volume is length X width X height. Which of the following is the volume of the box in cubic feet? a. 10 1/12 feet^ b. 24 1/24 feet^ c. 24 3/9 feet^
c. 70 d. 97 - ANSWER✔✔c. 70 If 3/10 of the students are going on the field trip, then 7/10 must be staying at school. Take the total number of students (100) and multiply by 7/10, which equals 70. QUESTION: The sales tax for a purchase equals $7.00. The sales tax rate is 6.25%. Which of the following is the price of the purchase before tax? a. $11. b. $43. c. $112. d. $119.00 - ANSWER✔✔c. $112. 112 x .0625 = 7 QUESTION: An employee at a restaurant makes $ 14.50 per hour. if the employee works 150 hours during a pay day period. Which of the following represents the employee's gross earnings for the pay periods? a. $1,645. b. $2,175.
c. $2,250. d. $2,100.50 - ANSWER✔✔b. $2,175. $14.50 x 150 = $2, QUESTION: 3 2/4 X 1 1/ Simplify the expression above. Which of the following is correct? a. 2 1/ b. 3 1/ c. 3 1/ d. 5 1/4 - ANSWER✔✔d. 5 1/ When multiplying mixed numbers, first change the mixed numbers to improper fractions (14/ × 3/2). Then multiply the numerators together and the denominators together and simplify the result (42/8 = 51/4). QUESTION: Which of the following is the value below rounded to the nearest thousandth? 34,582. a. 35,000.
c. 28.8 oz d. 38.4 oz - ANSWER✔✔d. 38.4 oz x/2.4lb = 16oz/1lb Another way to solve this problem is to multiply 2.4 X 16 ounces. QUESTION: A doctor sees each patient for 20min during a typical appointment. How many patients can the doctor see in a typical 7.5 hr day? a. 15 b. 23 c. 22 d. 150 - ANSWER✔✔c. 22 1 patient/20 min = x/450 min. 3 pt per hr (20x3=60 1 hr) 3x7.5 = 22. QUESTION: 81ft^2=_____yd^
Which of the following converts the units above correctly?(Note: 1 yd =3ft) a. 9 b. 27 c. 243 d. 729 - ANSWER✔✔a. 9 There are 3 feet to a yard and 9 square feet to a square yard. 81ft^2 /x= 9ft^2/ QUESTION: 16 out of 64 students in a Physics class received a grade of "A" for the class. Which of the following is the percent of students who received an "A"? a. 20% b. 40% c. 33% d. 25% - ANSWER✔✔d. 25% 16/64 = .25 or 25%
or place into decimals QUESTION: A patient in a hospital is prescribed .52mL of medication. The patient has received .371mL. Which of the following is the amount of medication remaining to be administered? a. 0.149 mL b. 0.249 mL c. 0.251 mL d. 0.319 mL - ANSWER✔✔a. 0.149 mL 0.520 - 0.371 = 0. QUESTION: Which of the following is the decimal equivalent of 3/5? a. 0. b. 0. c. 6 d. 60 - ANSWER✔✔b. 0.
The fraction 3/5 is equivalent to the fraction 6/10 =. or use calculator QUESTION: One rectangle is 4 cm by 5 cm. one is 3 cm by 6 cm. one is 2 cm by 3 cm. Which of the following is the area of the irregular polygon above? a. 44 square cm b. 45 square cm c. 34 square cm d. 54 square cm - ANSWER✔✔a. 44 square cm One rectangle is 4 cm by 5 cm; one is 3 cm by 6 cm; and one is 2 cm by 3 cm. Area is length times width, so 20 cm2 + 18 cm2 + 6 cm2 = 44 cm QUESTION: 7 students in a class of 20 mad a perfect score on a quiz. Which of the the following is the percent of students who made the perfect score? a. 2.9% b. 35% c. 53.8% d. 65% - ANSWER✔✔b. 35%
b. 12.5% c. 125% d. 1,250% - ANSWER✔✔d. 1,250% When converting from a decimal to a percent, multiply by 100. QUESTION: Mary was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $325? a. 650 Tala b. 975 Tala c. 162.5 Tala d. 1,950 Tala - ANSWER✔✔b. 975 Tala 6 Tala/$2 = x/$325 OR 3 tala per $1 = $325 x 3 QUESTION: A customer at a restaurant leaves $80 on the table to pay for the food, a 15% tip, and 80% sales tax. If both tip and sales tax are calculated from the cost of the food, which of the following with the cost of the food, rounded to the nearest cent?
a. $57. b. $61. c. $62. d. $65.04 - ANSWER✔✔d. $65. x + 0.15x + 0.08x = 80 QUESTION: A basketball player attempts 15 shots during a game. The player misses seven shots. Which of the following is the percentage of shots the player made, rounded to the nearest percent? a. 19% b. 47% c. 53% d. 21% - ANSWER✔✔c. 53% 15 - 7 = 8 shots made 8/15 = .53 or 53% QUESTION: A city assesses a transportation tax of 3/5 of a penny on each dollar. What percent of each dollar is collected by this tax?
QUESTION: The television is discounted at 20% in a sale. A shopper has a coupon for an additional 15% off the sale price. Which of the following is the total percent discount from the original price of the television? a. 32% b. 35% c. 65% d. 68% - ANSWER✔✔a. 32% The television is discounted 20%. Therefore, it is being sold for 80% of the original price. The additional 15% discount is applied to the discounted price, and 15% of 80% is 12%. This discount is in addition to the original 20% discount. Therefore, 20% plus 12% equals 32%. QUESTION: A customer purchases apples, bananas, and oranges at a local fruit stand everyday. They would like to keep track of how many pieces of each fruit they buy each week. Which of the following graphical representations would be best to use for this purpose? a. Bar graph b. Pie chart c. Line graph d. Stem-and-leaf plot - ANSWER✔✔a. Bar graph
A bar graph is a type of frequency graph that is appropriate for displaying and comparing discrete data. QUESTION: Which of the following is the product of .05 and .7? a. 0. b. 0. c. 0. d. 3.5 - ANSWER✔✔b. 0. product means multiply QUESTION: A recipe for a pizza that serves 12 people calls for 2 cups of shredded cheese. If a bag of shredded cheese contains 3 cups, what is the minimum number of bags required to make pizza for 48 people? a. 1 b. 2 c. 3 d. 4 - ANSWER✔✔c. 3 12 x 4 = 48
This option is the result of representing the width as W and the length as W + 5. Because the rectangle has opposite sides of equal length, the perimeter is equal to 2W + 2(W + 5), or 4W +
QUESTION: Which of the following is a fractional equivalent of 6 2/3% a. 11/ b. 20/ c. 3/ d. 20/3 - ANSWER✔✔b. 20/ To convert from a fractional percent, first change the percent to an improper fraction (20/3). Then divide by 100 (which is equivalent to multiplying by 1/100), which equals 20/300. QUESTION: Exactly how many hourly rates are less than the mean value? 9, 10, 11.75, 14, 15.5, 16, 18.75, 21.25, 22, 38, 42. a. 4 b. 5 c. 6 d. 7 - ANSWER✔✔d. 7
add all numbers and divide by total numbers (11) then see how many are below that QUESTION: Which of the following is the product of .003 and 800? a. 0. b. 2. c. d .240 - ANSWER✔✔b. 2. QUESTION: Which of the following is the equivalent percent for 66/33? a. 200% b. 50% c. 0.5% d. 0.02% - ANSWER✔✔a. 200% 66/33 = 2 2 x 100 = 200% QUESTION: - 7(y-4)=-y- 26