ATI TEAS - MATH

The sales tax for a purchase equals $7. The sales tax rate is 6.25%. Which of the following is the price of the purchase before tax? a. $11.20 b. $43.75 c. $112.00 d. $119.00

$112.00 ( 6.25% of $112 equals $7)

A customer at a restaurant leaves $80 on the table to pay for the food, a 15% tip, and 8% sales tax. If both tip and sales tax were calculated from the cost of the food, which of the following was the cost of the food, rounded to the nearest cent? a. $57.00 b. $61.60 c. $62.56 d. $65.04

$65.04 (this option is the result of representing the cost of the food as x, the tip as .15x, and the tax as .08x, then setting up and solving the equation x + 0.15x +0.08x =80

What is the approximate height in meters of a person who is 6ft tall? a. 1.8m b. 2.6m d. 7.18m d. 18m

1.8 m (one foot equals approx 0.3m)

Which of the following is the fractional equivalent of 1.7%? A. 1/7 B. 17/1000 C. 1/17 D. 17/100

17/1000 (1.7% is equivalent to 1.7/100. Multiplying the numerator and denominator by 10 to eliminate the decimal results in 17/1000)

A landscaper wants to length and width of a lawn each increased by 20%. The current dimensions of the lawn are 18ft x 24ft. Which of the following are the dimensions of the new lawn? a. 19.8 ft x 26.4 ft b. 20 ft x 26ft c. 21.6 ft x 28.8ft d. 23ft x 29ft

21.6ft x 28.8ft (because the landscaper wants to increase the dimensions by 20%, they should multiply each dimension by 1.2 or 120%)

16 out of 64 students in a physics class received a grade of A . What is the percent of students who received an A ? a. 20% b. 40% c. 33% d. 25%

25% (To determine the percent of students who received an A, take the number of those students 16 and divide by the total number of students 64. This equals .25, which is equivalent to 25%)

A recipe for a pizza that serves 12 people calls for 2 cups of shredded cheese. If each bag of shredded cheese contains 3 cups, what is the minimum number of bags required to make a pizza for 48 people? a. 1 b. 2 c. 3 d. 4

3 (to serve 48 people, you will need 4 pizzas. Four pizzas will require 8 cups of cheese. In order to have enough cheese, the min number of bags is 3)

A television is discounted 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%

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% )

A shopper at a local grocery store weighs a bag of apples. The weight is 2.4 lbs. Which of the following is the the weight of apples in oz ? a. 14.4 oz b. 19.2 oz c. 28.8 oz d. 38.4 oz

39.4 oz ( 2.4 x 16oz)

The original price of an item is $3.75. If the discounted price is $2.25, which of the following is the percent of the discount? a. 33% b. 40% c. 60% d. 67%

40% (the discount is $3.75 minus $2.25, or $1.50 by $3.75 and multiplying by 100 to convert to a percent results in 40%)

The average diameter of one tennis ball in a package of three is 6.8cm. Which of the following is the combined volume of all three tennis balls? Use 3.14 for pi and round your final answer to the nearest hundredth. a. 164.55 cm3 (3rd power) b. 493.66 cm3 (") c. 1,316.42 cm3 (") d. 3,949.27 cm3 (")

493.66cm3 (This option is the result of calculating the volume of all three tennis balls by dividing the diameter by 2 to get the radius (3.4), cubing the radius, multiplying by pi, and then multiplying by 4/3 to find the volume of a single tennis ball. Finally, that volume must be multiplied by 3 to get the total volume of all three tennis balls)

A contractor builds a fence to surround a rectangular garden. The length of the fence is 5 ft more than the width, W. Which of the following expressions represents the amount of fencing the contractor will need to complete the project? a. 2W+5 b. 4W+10 c. 6W d. 12W

4W+10 --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 +10

A science student is comparing the mass of several items. Which of the following is reasonable estimation of the mass of a standard bowling ball? a. 5 kilograms b. 5 grams c. 5 decagrams d. 5 miligrams

5 kilograms (1 kilogram is approx 2.2 lbs, so 5 kilograms is about 11 lbs)

A holiday punch recipe calls for 1,500 mL of fruit punch, 375 mL of pineapple juice, and 1 L of ginger ale. How many liters (L) of punch will this recipe yield if doubled? a. 12.5 L b. 3.05 L c. 2.75 L d. 5.75 L

5.75L (this option is the result of correctly converting 1,500 mL to 1.5L , and 375L, adding all three of the ingredients together and doubling the recipe)

A basketball player attempts 15 shots during a game. The player misses 7 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%

53%

A state trooper (PIG) recorded and collected speeds of several cars at a set location on a local highway. The speeds in miles per hour are recorded below. Which of the following is the median of this data set? 73, 81, 68, 75, 90, 78, 75, 82, 77, 71 a. 77 b. 22 c. 75 d. 76

76 (This value represents the median of the data set. The median is the middle number when the data is ordered from least to greatest. Since this set has 10 values, it is the average of the 5th and 6th values)

-7(y-4)=-y-26 solve for y a. y= 16 b. y= -1/3 c. y= 11/3 d. y=9

9

A student fills a beaker with boiling water and another beaker with ice water. Every 1 minute, the student records the temperature in each beaker. In order to determine the exact time the temperature in the two beakers will be equal, which of the following graphical representations should be used to organize this data? a. bar graph b. line graph c. histogram d. scatterpolot

LINE GRAPH - a long graph is a type of graph that is appropriate for displaying one or more sets of continuous data

A customer purchases apples, bananas, and oranges at a local fruit stand every day. 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 the best to use for this purpose? a. bar graph b. pie chart c. line graph d. stem-and-leaf plot

bar graph

Let x represent the length of one side of a rectangle with a perimeter of 200. Which of the following expressions describes the area of the rectangle? a. x(100 - x) b. 2x(100 - x) c. x(200 - x) d. 2x(200 - x)

x(100-x) -- The area of a rectangle is the product of the length times the width. Since the perimeter of the rectangle is 200, one length + one width = 100. If one side is x, the adjacent side must be 100-x.