ATI TEAS: unit 2 practice problems

round the numbers in the table to the place indicated (2, 26): j) 64.736 --> tenths

64.7

which of the following is a correct comparison of 9.14 and 9 1/6? (2, 22) a) 9.14 > 9 1/6 b) 9.14 < 9 1/6 c) 9.14 = 9 1/6 d) 9.14 ≥ 9 1/6

answer: b) 9.14 < 9 1/6

which of the following describes the trend of the data portrayed in the graph? (2, 31) a) decreasing b) increasing c) stable d) no trend

answer: b) increasing

micah spends 27 hours in a 3-week period practicing piano. at this rate, how many hours will he practice in 7 weeks? (2, 27)

27 hours/3 weeks = x hours/7weeks step 1: multiply both sides by 7 weeks 27 x 7/3 = X x 7/7 step 2: simplifying the left side leads to x = 63 hours

find the mean, median, and mode of the following data set: (2, 31) 0, 1, 2, 2, 3, 5, 6, 7, 8, 16

mean: 0 + 1 + 2 + 2 + 3 + 5 + 6 + 7 + 8 + 16 = 50 50/10 = 5 median: 4 mode: 2

your current salary is $55,000. next year you will get a 4.5% increase in your salary. how much more money will you make next year? (2, 25)

step 1: convert 4.5% to decimal form step 2: multiply 0.045 x $55,000 = $2,475

round the numbers in the table to the place indicated (2, 26): b) 6/7 --> ones

1

round the numbers in the table to the place indicated (2, 26): d) 933.74 --> thousands

1,000

round the numbers in the table to the place indicated (2, 26): e) 2.739 --> hundredths

2.74

round the numbers in the table to the place indicated (2, 26): o) 483.34 --> hundreds

500

round the numbers in the table to the place indicated (2, 26): k) 547 --> tens

550

which of the following statements is true? (2, 32) a) there is an inverse relationship between temperature and ice cream sales b) there is a negative covariance c) there is a positive covariance d) the rate of change for any two points is always negative

answer: a) there is an inverse relationship between temperature and ice cream sales b) there is a negative covariance d) the rate of change for any two points is always negative

determine whether each statement is true or false? (2, 32) a) every scatterplot is an example of covariance b) the more i practice the piano, the better my performance at the recital is. this is an example of positive covariance c) "no pain, no gain" is an example of direct variation, positive covariance d) "the more i cough, the less likely i can run at a fast pace," is an example of direct variation, negative covariance

answer: b) the more i practice the piano, the better my performance at the recital is. this is an example of positive covariance c) "no pain, no gain" is an example of direct variation, positive covariance

three months into a new internet/phone/cable plan, jason has paid a total of $360. ten months into the plan, jason had pain a total of $1,130. what is the rate of change for jason's cable plan? (2, 28) a) $110.00/month b) $113.33/month c) $113.67/month d) $114.00/month

answer: a) $110.00/month $1130 - $360/10 months = $770/7 = $110/month

a car salesperson earns $900 each month plus 6% commission on her monthly car sales. if she sells %58,000 worth of cars on a given month, what is her total monthly salary? (2, 25) a) $4,380.00 b)$3,534.00 c)$3,480.00 d)$4,426.00

answer: a) $4,380.00 step 1: find 6% of $58,000 by multiplying 0.06 x $58,000 = $3,480.00 step 2: add $3,480 + $900.00 = $4,380.00

which of the following lists the numbers in decreasing order: -1 3/5, -1.45, -1.8, -1 3/4? (2, 22) a) -1.45, -1 3/5, -1 3/4, -1.8 b) -1.8, -1 3/4, -1 3/5, -1.45 c) -1 3/4, -1.45, -1 3/5, -1.8 d) -1 3/5, -1.45, -1.8, -1 3/4

answer: a) -1.45, -1 3/5, -1 3/4, -1.8

which of the following is the correct value of the following expression? (2, 21) 50 - (8 x 3) + 9 + 6/3 a) 31 b) 35 c) 131 d) 135

answer: a) 31 50 - (8 x 3) + 9 + 6/3 = 50 - 24 + 9 + 6/3 = 50 - 24 + 5 = 31

which of the following gives the best estimate for 346.8 x 5.231/49.6? (2, 26) a) 347 x 5/50 b) 350 x 5/49? c) 300 x 5/50 d)346 x 6/49?

answer: a) 347 x 5/50

harry had 5 gal of gas remaining in his tank when he stopped at a gas station in canada. he added 35 L of gas to his tank to fill the car. how much gas does harry have? a) 54 L b) 40 L c) 19 L d) 14.2 L

answer: a) 54 L 5 gal/1 x 3.8 L/1 = 19 L 19 L + 35 L = 54 L

which household object is best approximated by kilograms? (2, 26) a) a pet rabbit b) spilled water c) a piece of paper d) a tablet of iburprofen

answer: a) a pet rabbit

which of the following best describes the distribution portrayed in the graph? (2, 31) a) bell-shaped b) normal c) skewed left d) skewed right

answer: a) bell-shaped

which of the following represents a negative covariance? (2, 32) a) the more snow we get, the less likely school is open b) the less you drive, the less money you spend on gasoline c) the more snow we get, the more likely school will be closed d) the more you drive, the more money you spend on gasoline

answer: a) the more snow we get, the less likely school is open

which of the following sentences best describes this relationship? (2, 32) a) the two parameters show positive covariance b) the two variables are constants and represent fixed points in time c) the battling average is the dependent variable d) the two parameters are inversely related

answer: a) the two parameters show positive covariance

joe has a drawer full of 28 different-colored markers. he knows he has 7 red markers and 4 black markers. which of the following expresses the ratio of red markers to total markers? (2, 28) a) 1/7 b) 1/4 c) 7/4 d) 4/7

answer: b) 1/4

which of the following is the correct value of the following expression? (2, 21) 17 + 18 - 2 x 3/6 a) 14 b) 19 c) 25 d) 34

answer: b) 19 17 + 18 - 2 x 3/6 = 17 + 12/6 = 17 + 2 = 19

what is the area of the following shape? a) 192 ft^2 b) 240 ft^2 c) 288 ft^2 d) 336 ft^2

answer: b) 240 ft^2 (24 x 8) + 1/2 (24 x 4) = 192 + 1/2(96) = 192 + 48 = 240 sq ft.

which of the following lists the numbers in decreasing order: (2, 22) -4, 0.4, 4 1/5, -0.04 a) -4, 0.4, 4 1/5, 0.04 b) -0.04, -4, 0.4, 4 1/5 c) 4 1/5, 0.4, -4, -0.04 d) 4 1/5, 0.4, -0.04, -4

answer: d) 4 1/5, 0.4, -0.04, -4

which of the following calculated the needed amount? (2, 34) a) 4.93 mL/tsp X 5mL = 24.65 mL b) 4.93 mL/tsp = 0.986 tsp c) 4.93 mL/tsp X 1 tbsp/14.8 mL = 0.333 tsp d) 5 mL/1 X 1 tsp/4.93 mL = 1.014 tsp

answer: d) 5 mL/1 X 1 tsp/4.93 mL = 1.014 tsp

a computer tablet costs $550.00. if the sales tax is 6.5%, what is the total cost of the tablet with sales tax? (2, 25) a) $35.75 b) $514.25 c) 556.50 d) 585.75

answer: d) 585.75 step 1: 65% convert to decimal 0.065 x 550 = 35.75 step 2: 550 + 35.75 = 585.75

on a map, 1 cm = 75 miles. if the distance between two cities measures 8.6 cm, what is the actual distance between the two cities? (2, 27) a) 8.7 miles b) 66.4 miles c) 82. 6 miles d) 645 miles

answer: d) 645 miles 1cm/75miles = 8.6cm/x miles step 1: multiply 75 by 8.6 cm to get x = 645 miles

the value of 873.5 x 4.72/59.6 is closest to what number? (2, 26) a) 75,000 b) 7,500 c) 750 d) 75

answer: d) 75

approximately how many feet are in 3 m? (2, 34) a) 0.9 ft b) 1.18 ft c) 7.62 ft d) 9.84 ft

answer: d) 9.84 ft 3 m/1 x 3.28 ft/1 m = 9.84 ft.

use unit rates to determine which is the better vacation deal: $900 for 4 nights or $1,443 for 7 nights. (2, 28)

$900/4 nights = $233/1 night and $1443/7 nights = $106.14/1 night so, 7-night deal is the better deal

Find the area of the shaded region (2, 33) __________12 m | _____7m | | | 2m | | 10m | __________|

(12 x 10) - (7 x 2) = 120 - 4 = 106 sq m.

sue decides to collect postcards. she starts her collection with nine cards. every week, she buys two more cards to add to her collection. write an inequality that would allow her to find how many weeks until she has more than 35 cards. (2, 29)

W = number of weeks the total number of cards over time would be 2W. seven cards to start with would be shown as +9. more than 35 cards would be shown as > 35 the inequality is 2W + 9 > 35

which of the following is 35% of 900 pounds? (2, 25) a) 315 pounds b) 595 pounds c) 865 pounds d) 1,205 pounds

answer: a) 315 pounds step 1: convert 35% to a decimal step 2: multiply 0.35 x 900 = 315

which metric unit best represents the length of a paper clip? (2, 26) a) meter b) millimeter c) liter d) milliliter

answer: b) millimeter

use this graph to fill in the two tables and answer the questions (2, 30) -on what nights did dani's daily tips decrease from te previous night? -on what night(s) did frank earn more in tips than dani? -what is the average rate of change for frank from monday to friday?

on friday night, dani's tips decreased form $40 to $35 on monday night, frank earned $5 more than dani on friday night, frank earned $15 more than dani the average rate of change is: $50 - $20/4 nights = $30/4 nights = $7.50/night

in the following table, match the equivalent quantities. refer to the conversions presented in this lesson. if necessary, you may consult the internet. (2, 34)

original unit: 750 mL 75 mL 26.4 lb 100C 600 m 12.7 cm 40 mm 720 g equivalent unit: 0.75 L 75 cc 12 kg 212 F 0.6 km 5 in 4 cm 0.72 kg

a recipe for 1 batch of cookies called 3/4 cup of flour. how much flour is required to bake 1 1/2 batches of cookies? (2, 24)

step 1: 1 batch of cookies requires 3/4 cups of flour step 2: use multiplication to determine the flour needed for 1 1/3 batches step 3: multiply a fraction and a mixed number 1 1/2 x 3/4 = 3/2 x 3/4 = 9/8 = 1 1/9 cups

write in increasing order: (2, 22) -8, 8 3/4, 8.43

-8, 8.43, 8 3/4

round the numbers in the table to the place indicated (2, 26): h) 23/50 --> ones

0

round the numbers in the table to the place indicated (2, 26): f) 32.834 --> tenths

32.8

round the numbers in the table to the place indicated (2, 26): n) 32. 95 --> tenths

33

round the numbers in the table to the place indicated (2, 26): a) 34. 19 --> tenths

34.2

round the numbers in the table to the place indicated (2, 26): g) 37.494 --> tens

40

round the numbers in the table to the place indicated (2, 26): c) 7.219 --> hundredths

7.22

round the numbers in the table to the place indicated (2, 26): i) 7 4/3 --> ones

8

round the numbers in the table to the place indicated (2, 26): m) 87.357 --> hundredths

87.36

round the numbers in the table to the place indicated (2, 26): l) 878 --> hundreds

900

solve the following problem: (2, 21) a) 6 + 8 x (12 - 9) b) (14 - 5) / (7 - 4) c) 7 x 4 + 8 / 4 - 3 x 6 d) 50 - 2 x 7/6 + 4 x 3

a) answer: 30 6 + 8 x (12 - 9) = 6 + 8 x 3 = 30 b) answer: 3 (14 - 5)/(7 -4) = (9) / (3) = 3 c) answer: 12 7 x 4 + 8 / 4 - 3 x 6 = 12 d) answer: 2 6 + 8 x (12 - 9) = 6 + 8 x 3 = 30

a company found an average of 4 defective televisions for every 1,000 checked. if the company produced 95,000 televisions in 1 year, how many of them would be expected to be defective? (2, 27) a) 11 b) 380 c) 905 d) 1095

answer: b) 380 4 defective/1000 TVs = x defective/95,000 TVs step 1: multiply both sides by 95,000 TVs 4 defective x 95,000 TVs/1000 TVs = x step 2: simplify the left side: x = 380 defective

which of the following is the correct value of the following expression? (2, 21) 15 + 2 x 5/11 - 24 / 4 a) 21 b) 5 c) ~9.9 d) ~5.9

answer: b) 5 15 + 2 x 5/11 - 24/4 = 25/5 = 5

which of the following inequalities models the following? (2, 29) three more than five times a number x is greater than three times the same number, decreased by nine. a) 5x + 3 ≥ 3x - 9 b) 5x + 3 > 3x - 9 c) (5 + 3)x > (5 - 9)x d) 5x + 3 > 9x - 3

answer: b) 5x + 3 > 3x - 9

which of the following describes a decreasing trend? (2, 31) a) as one set of values decreases, the other set of values also decreases b) as one set of values increases, the other set of values decreases c) as on set of values increases, the other set of values remains constant d) both sets of values neither increase nor decrease

answer: b) as one set of values increases, the other set of values decreases

which of the following statements best describes a distribution that is skewed left? (2, 31) a) the data peaks closer to lower values b) the data peaks closer to higher values c) the data peaks closer to middle values d) there are no clear peaks

answer: b) the data peaks closer to higher values

which of the following statements is true? (2, 30) a) max's music machine's annual profits increase annually b) the greatest increase in profits was between 2016 and 2017 c) max earned #0 in 2013 d) there were two increases of $5,000 between 2013 and 2019

answer: b) the greatest increase in profits was between 2016 and 2017

which of the following observations based on this graph is true? (2, 30) a) day 3 yielded the most zucchini sold b) the number of pound of corn sold from days 1 to 3 increased each day c) about 10 pounds of squash was sold over the 3 days d) the most carrots were sold on day 3

answer: b) the number of pound of corn sold from days 1 to 3 increased each day

the success rate for a salesperson is 2 out of 11 calls. at this rate, how many sales would the salesperson expect to get out o 55 calls? (2, 27) a) 5 b) 6 c) 10 d) 16

answer: c) 10 2 sales/11 calls = x sales/55 calls step 1: multiply both sides by 55 calls will give 2 sales x 55 calls/11 calls = x step 2: simplifying the left side leads to x = 10 sales

which of the following is correct value of 3 + 2 x 6 - 4? (2, 21) a) 32 b) 10 c) 11 d) 26

answer: c) 11 3 + 2 x 6 - 4 = 3 + (2 x 6) - 4 = 3 + 12 = 15 - 4 = 11

what is the area of the following shape? (, 33) a) 170 m^2 b) 150 m^2 c) 126 m^2 d) 90 m^2

answer: c) 126 m^2 (15 x 10) - (6 x 4) = 150 - 24 = 126 sq m.

what is the area of the following shape? (2, 33) a) 144.88 ft^2 b) 133.68 ft^2 c) 152.52 ft^2 d) 209.04 ft^2

answer: c) 152.52 ft^2 \ (12 x 8) + 1/2(3.14 x 6^2) = 96 + 1/2(113.04) = 96 + 56.52 = 152.52 sq ft.

james is saving money to go to a concert. from his part-time job, he is able to save #20 per week. his older brother gave him $15 to start. if W = number of weeks, which of the following expressions represents the number of weeks until james has saved at least $255? (2, 29) a) 20W + 15 = 255 b) (15 + 20) W ≥ 255 c) 20W + 15 ≥ 255 d) 20W + 15 < 255

answer: c) 20W + 15 ≥ 255

which of the following lists the numbers in increasing order: (2, 22) 3/8, 3/4, 11/16, 1/2? a) 1/2, 3/8, 3/4, 11/16 b) 11/16, 3/8, 3/4, 1/2 c) 3/8, 1/2, 11/16, 3/4 d) 3/4, 3/8, 1/2, 11/16

answer: c) 3/8, 1/2, 11/16 3/4

while shopping, you find a shirt that is marked 25% off. if the regular price is $50, which of the following is reduced price? (2, 25) a) $12.50 b) $25.00 c) 37.50 d) 62.50

answer: c) 37.50 step 1: convert 25% x 50 = 12.50 step 2: 50 - 12.50 = 37.50

which of the following describes how to solve this dilemma? (2, 34) a) divide £50 by $1.20 b) divide £50 by 12 c) multiply £50 by $1.20 per £ d) divide £50 by $45

answer: c) multiply £50 by $1.20 per £ £50/1 x $1.20/£1 = $60.00

the given chart based on a survey of 200 people shows a favorite genre of music. which of the following statements is true? (2, 30) a) country music is the favorite of 25 people b) country music is preferred by 5 more people than pop music c) the most popular music rock d) there were 40 people who chose neither rock nor country

answer: c) the most popular music rock

which of the following expresses the unit rate in steps per day? (2, 28) a) 3 days/1,950 steps = 0.002 days/steps b) the unit rate is 1,950 steps/3 days c) the unit rate is 650 steps/day d) the unit rate is 650/1

answer: c) the unit rate is 650 steps/day

which of the following equations is directly proportional? (2, 27) a) y = x - 5 b) y = 3x - 5 c) y = 3x d) y = 5

answer: c) y = 3x y = mx + b where b is nonzero

a box of cereal costs $4.80 for 24 ounces. which of the following represents the unit rate per ounce? (2, 28) a) $0.04/oz b) $4.80/24 oz c) 20/1 d) $0.20/oz

answer: d) $0.20/oz

grant spent the morning driving 100 miles. he drives at an average speed of 60 miles per hour. which of the following inequalities may be used to determine the time, T, it will take to drive at least 350 miles? (2, 29) a) 60T < 350 b) 100 + 60T > 350 c) 100 + 60T ≤ 350 d) 100 + 60T ≥ 350

answer: d) 100 + 60T ≥ 350

which of the following is the perimeter of the following shape? (2, 33) a) 77 ft b) 82 ft c) 89 ft d) 108 ft

answer: d) 108 ft step 1: horizontal segment: 34 - 20 - 7 = 7 ft step 2: missing vertical segment: 20 - 8 = 12 ft step 3: combines perimeter: 34 + 8 + 8 + 7 + 7 + 12 + 12 + 20 = 108 ft.

melissa wants to take a taxi to a restaurant. she has only $25 for a taxi ride plus some change in her purse for the driver's tip. the taxi company charges $2.00 to get in the taxi plus $1.75 per mile. if M = miles to a restaurant, which of the following expressions represents the maximum distance to a restaurant that mary can afford? a) 1.75 < 25 b) 2.00 + 1.75M > 25 c) (2.00 + 1.75)M ≤ 25 d) 2.00 + 1.75M ≤ 25

answer: d) 2.00 + 1.75M ≤ 25

for this relationship, the side of the square and the area of the square are directly related and show positive covariance. based on this relationship, which of the following statements is true? (2, 32) a) if these two variables were graphed, the slope of the line between any two points would be negative b) if these two variables were graphed, the side of the square would be the dependent variable c) the points on the graph should be connected with a straight line to show that they represent variables d) if these two variables were graphed, the slope of the line between any two points would be positive

answer: d) if these two variables were graphed, the slope of the line between any two points would be positive

which of the following observations based on this graph is correct? (2, 30) a) the cost of maintaining a car is constantly increasing each year b) for the first 3 years, it costs $400 to maintain the car c) the average rate of change between year 1 and year 4 is $800 - $200/4 years = $600/year d) the average rate of change between year 1 and year 4 is $800 - $200/4 years - 1 year = $600/3 = $200.00

answer: d) the average rate of change between year 1 and year 4 is $800 - $200/4 years - 1 year = $600/3 = $200.00

a cat owner gets a vitamin prescription from his veterinarian that lists the dosage as 2.5 mL twice a day. the bottle contains 200 cc. how many days will the bottle last? (2, 24)

step 1: dosage is 2.5 mL twice a day. step 2: 1 cc is equivalent to 1 mL divide the bottle step 3: 200 cc/5 cc / day step 4: 40 days is a reasonable time period for a prescription. each day requires 5 cc, and 200 is much more than 5, so you would expect an answer greater than 1. two days requires 10 cc, 3 days 15 cc, and so on. so 40 days requires 200 cc of the vitamin overall

on monday, the nurse determined that her patient's total fluid intake for the day was 1,800 mL. on tuesday, the same patient's total fluid intake was 2,350 mL. if the patient's total fluid outtake over the two days was 1,775 mL, what was his net results? (2, 24)

step 1: fluid intake monday: 1,800 mL tuesday: 2,350 mL total fluid: 1,775 mL step 2: add to determine total fluid intake 1,800 + 2,350 = 4,150 mL step 3: subtract 4,150 mL - 1,775 mL = 2,375 mL step 4: 2,375 + 1,775 = 4,150 so 2,375 mL is the most reasonable solution

in a small community, 1, 225 students take the bus to school. if there are a total of 1,955 students enrolled in the school system, approximately what percentage of students take the bus to school? (2, 24)

step 1: identify the part and whole 1,225 (part), 1,955 (whole) step 2: divide the part by whole to determine the decimal equivalent then multiply the decimal by 100% to change to a percent 1.225/1.955 ~ 0.6266 0.6266 x 100% = 62.66%

jayden wants to use square pavers that are 4 inches on each side to completely surround his flower garden. the garden is 8 feet long and 2 feet wide. how many pavers should jayden buy? (2, 24)

step 1: understand the problem the square pavers are 4 inches on each side. the garden is 8 feet long and 2 feet wide step 2: make a drawing of the garden 1 foot = 12 inches. takes three 4-inch pavers to equal a length of 1 foot add 6 pavers to both of the 2-foot sides step 3: add 24 to both of the 8 foot step 4: add up the pavers needed length: 8 feet 2 feet 8 feet 2 feet 4 corners number of pavers needed: 24 6 24 6 4 total: 64