ATI TEAS VII Online Practice A - Mathematics
Which of the following decimals is equivalent to 1/4? 0.14 0.25 0.20 0.41
0.25 This is the result of correctly converting the fraction 1/4 to a decimal as 1 ÷ 4 = 0.25.
At the end of the semester, a student sells 11 books back to the bookstore, earning $173. With the earned money, they pay two $20 parking tickets and a $17 library fine. How much money does the student have left?
$173 - ($20 × 2) - $17 = $116 This is how much money the student has left.
An employee at a restaurant makes $ 14.50 per hour. if the employee works 150 hours during a month. Which of the following represents the employee's gross earnings for the month. $1,645 $2,175 $2,250 $2,100
$2,175 The employee's gross earnings for the month would be $2,175. This is the result of multiplying the unit rate ($14.50 per hour) by the number of hours worked (150 hr).
A customer at a restaurant leaves $80 on the table to pay for the food, a 15% tip, and a 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? $65.04 $61.60 $62.56 $57.00
$65.04 This is the result of representing the cost of the food as x, the tip as 0.15x, and the tax as 0.08x, then setting up and solving the equation x + 0.15x + 0.08x = 80.
a jogger on a treadmill is jogging at 5 miles per hour. Which of the following is the time it will take him to jog 1 mile? 5 minutes 6 minutes 12 minutes 20 minutes
12 minutes his is obtained by multiplying 1 mile by 1 hr/5 mi, or 1/5 hr, and then converting to minutes by multiplying 1/5 by 60.
The average speed a NASA space shuttle travels is 17,500 miles per hour. The distance the space shuttle traveled is 238,855 miles. Which of the following is the travel time of the space shuttle? 43.2 hr 27.2 hr 6.8 hr 13.6 hr
13.6 hr If the formula distance = rate x time is used to find the time, divide the distance (238,855 miles) by the rate (17,500 miles/hr), which equals approximately 13.6 hr.
Which of the following correctly solves for x in the equation below? x-5.2 = -2.3 11.96 -7.5 -2.9 2.9
2.9 x = -2.3 + 5.2x = 2.9By adding 5.2 to both sides of the equation there is now an equation equivalent to the original equation. The answer can be checked by placing 2.9 back into the original equation for x: 2.9 - 5.2 = -2.3.
Annette has $200 in her account and she plans to deposit $40 every week into the account. Which of the following expressions represents the amount in her account after n weeks? 200+40n (200+40)n 40+200n (200-40)n
200+40n This is the result of correctly interpreting that because Annette had $200 in her account and she deposits $40 every week, the amount deposited in n weeks is 40n. Therefore, the total amount after n weeks is 200 + 40n.
A child weighs 54 pounds (lb). Which of the following is the appropriate estimate of this child's mass in kilograms (kg)? 25 40 75 100
25 This is the result of rounding 54 to 50 and rounding 2.2 to 2 and then dividing 50 by 2.
Which number is correctly rounded to the place value indicated? 24.52 to the tenths place is 24.6 9.0003 to the thousandths is 9.001 3.255 to the hundredths place is 3.26 183,499 to the thousands is 184,000
3.255 to the hundredths place is 3.26 When rounding to the nearest hundredths place, the digit in the thousandths place indicates whether to round up or down. Because the digit in the thousandths place is 5, it rounds up to 3.26.
Assuming 1kg is around 2.205 lb, which of the following is equivalent to 15 kg?
33.075 lb This is the result of correctly converting 15 kg to pounds by multiplying 15 and 2.205.
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? 10 1/12 feet3 24 1/24 feet3 24 3/9 feet3 35 5/12 feet3
35 5/12 feet3 This is the result of correctly applying the formula and correctly multiplying the fractions. By converting mixed numbers to improper fractions, the improper fractions can then be multiplied and converted back into a mixed number.
The shopper at a local grocery store weighs a bag of apples. the weight is 2.4 pounds (lb). Which of the the following is the weight of the apples? ( NOTE: 1 lb = 16 oz)
38.4 oz 2.4 x 16 oz
The average diameter of one tennis ball in a package of three is 6.8 cm. Which of the following is the combined volume of all three tennis balls? Use 3.14 for pi and round the nearest hundredth (V=4/3pir^3)
493.66 cm^3 This is the result of correctly 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 π (3.14), 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 recipe calls for 5 cups of flour, 1 1/2 cup of sugar, and 1/3 cup of cocoa. Which of the following is the amount of dry ingredients in the recipe?
6 5/6
A state trooper collected and recorded 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
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.
Which of the following is equivalent to 81 feet^2? 9 yard^2 27 yard^2 243 yard^2 729 yard^2
9 yard^2 There are 3 feet in a yard and 9 square feet in a square yard.
Mary is 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 will she get if she exchanges $325?
975 tala This can be calculated in two ways. One way is to set up and solve a proportion: 6 Tala/$2 = x/$325. Multiply both sides by $325 to find x: (6 Tala ∙ $325)/$2. Simplify the left side: x = 975 Tala. The second way is to calculate the unit rate (3 Tala per dollar) and multiply $325 by 3.
A basic cell phone plan costs $50 per month and includes 200 minutes of call time. If the customer uses more than 200 minutes in a month, they are charged an additional $0.03 per minute used. If n represents the number of minutes used, which of the following represents the monthly cost (C) when more than 200 minutes are used? C = 50 + 0.03(n) C = 50 + 0.03(n + 200) C = 50 + 0.03(n - 200) C = 50 + 0.03(200 - n)
C = 50 + 0.03(n - 200) If more than 200 minutes are used, the cost will equal $50 plus $0.03 times the difference between the number of minutes used and 200.
A = -2.7, B= -1.2, C= 0.8, D= 1.7, E = 2.3 Which of the following statements is correct for the values given above? A > B The values listed in increasing order are represented by E, D, C, B, A. A > E The values listed in decreasing order are represented by E, D, C, B, A.
The values listed in decreasing order are represented by E, D, C, B, A.
Which of the following is the simplest form of the expression (2x15-9/3)/(5+35/5)
This is the result of correctly following the order of operations.(2 × 15 - 9 ÷ 3)/(5 + 35 ÷ 5) (30 - 9 ÷ 3)/(5 + 7) (30 - 3)/(12) 27/12 =9/4
A homeowner wants to install vinyl siding on the exterior on the house. The total area on which the siding is to be installed is 225 sq ft. To account for waste, they need to buy 10% additional material. What is the total amount in sq ft, of material the homeowner should buy?
To calculate the total amount of vinyl siding required, first multiply 225 by 0.1. Next, add the result to 225.10% = 10/100 = 0.1 225 × 0.1 = 22.5 225 + 22.5 = 247.5.
A student fills a beaker with boiling water and every other beaker with ice water. Every 10 seconds 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 the data? A. Bar graph B. Line graph C. Histogram D. Scatter plot
line graph A line graph is a type of graph that is appropriate for displaying one or more sets of continuous data.
(x+3)^2 =3 Which of the following is the correct solution to the equation above? x = 3 ± √3 x = -3 ± √3 x = -6 x = 6
x = -3 ± √3 This is the result of taking the square root of both sides of the equation, then subtracting 3 from both sides to isolate x. When introducing a square root to solve an equation, the root will have both positive and negative values.
