ATI TEAS MATH

Which of the following lists the values in order from least to greatest? -3, -3/10, 3.3, 3 -3/10, -3, 3, 3.3 -3, -3/10, 3, 3.3 -3/10, 3, -3, 3.3

-3, -3/10, 3, 3.3 This is correct. When ordering these values from least to greatest, the negative value that is the furthest from 0 should come first and the positive number that is the furthest from 0 should come at the end of the list.

a computer is worth $1500 at the time of purchase. After 5 years, the computer is outdated and has no monetary value. Assuming the computer's value decreases at a constant rate, which of the following expressions represents the computer's value at any time (t) in years? -300t + 1,500 -5t + 1,500 -300t + 5 -5t + 5

-300t + 1500 The value of the computer at the time of purchase was $1,500. Five years later, the computer's value was $0. This means the computer's value decreased by $1,500/5 or $300 each year.

9 - 7 3/8 Find the difference. 13/8 15/8 23/8 25/8

1 5/8 This expression can be rewritten as: 9 - (7 + 3/8) = 9 - 7 - 3/8 = 2 - 3/8 = 16/8 - 3/8 = 13/8 = 15/8

In a neighborhood, 5% of the houses have red mailboxes. A student counts 60 red mailboxes in the neighborhood. Which of the following is a total # of houses in the neighborhood?

1,200 To determine the total number of houses, take the number of red mailboxes, 60, and divide by the numerical equivalent of the percent, 0.05. The total is 1,200 houses.

Which of the following is 5.4% of 35? 0.189 1.89 18.9 189

1.89

Nancy ran a distance of 5km in 30 minutes. What is her speed in meters (m) per hour (h) ? 10,000 m/h 6,000 m/h 300,000 m/h 150 m/h

10,000 m/h This is correct. To determine the rate per hour, 5 km per 30 minutes is multiplied by 2, resulting in 10 km/hr. Multiplying this by 1,000 m/km converts the units to m/hr, resulting in 10,000 m/hr.

Estimate the volume of a rectangular box that has a height of 22.1cm, a length of 98cm, and a width of 54cm. The volume can be calculated by multiplying length X width X height. 180,000 cm3 90,000 cm3 117,000 cm3 100,000 cm3

100,000 cm3 This is correct. If 22.2 is rounded to 20, 98 is rounded to 100, and 54 is rounded to 50, 20 x 100 x 50 = 100,000.

(x^2 + 4x + 4) - (x^2 - 6x + 9) Simplify the expression. 10x + 13 10x - 5 -2x + 13 -2x - 5

10x - 5 (x2 + 4x + 4) - (x2 - 6x + 9) = x2 + 4x + 4 - x2 + 6x - 9 = 10x - 5

8 5/8 - 7 11/16 Find the difference. Which is correct? 3/4 15/16 11/16 13/4

15/16 When subtracting mixed numbers, first find the least common denominator for the fractions. This produces the following expression: 810/16 - 711/16. Since 10/16 is less than 11/16, change the mixed numbers to improper fractions and subtract (138/16 - 123/16 = 15/16).

The owner of a hot dog stand records the number of hot dogs purchased by each customer on a particular day and obtain the following data: # of hotdogs purchased # of customers 1 50 2 27 3 15 4 6 5 2

183 To obtain the total number of hot dogs purchased, the numbers in the rows of the table should be multiplied and then the resulting products should be added.1 × 50 = 502 × 27 = 543 × 15 = 454 × 6 = 245 × 2 = 1050 + 54 + 45 + 24 + 10 = 183

In a certain city, one block equals 0.25 miles. The city's high school is 4 blocks east of a grocery store. The city's library is 6 blocks east of the grocery store. A student walks to the library after school and then walks to the grocery store a few hours later. Which of the following is the number of miles this student has walked? 1.5 miles 2 miles 2.5 miles 4 miles

2 miles The student first walks two blocks east to the library, and then walks six blocks west to the grocery store for a total of eight blocks. Eight blocks times 0.25 miles per block equals 2 miles. The street is laid out as follows: Grocery store _____(4 blocks)_____ High school __(2 blocks)__ Library

The distance between A and E is 10km. The distance between B and E, A and D is 8km. If the distance between A and C is 4.5km, which of the following is the distance between B and C? 2.0km 2.5km 3.5km 6.0km

2.5km Since the distance between A and E is 10 km and the distance between B and E is 8 km, then the distance between A and B is 2 km. Since the distance between A and C is 4.5 km and the distance between A and B is 2 km, the distance between B and C must be 2.5 km.

the length of an envelope is 21cm rounded to the nearest whole cm. Which of the following is the smallest possible real length of the envelope? 20.5 cm 20.49 cm 21.44 cm 20.6 cm

20.5cm This is correct. The value 20.5 rounded to the nearest whole cm is 21 cm and is the smallest possible length.

Which of the following fractions represents the sum of 0.3, 0.6, 0.04 and 0.02? 3/20 24/25 25/24 3/2

24/25 The total of these numbers is 0.96, which is equivalent to 96/100. This fraction can be simplified to 24/25.

The attendance at a nursing convention as 400 members. 75% of whom voted for an increase in membership dues. Which of the following is the number of members who voted for the increase? 75 100 300 325

300 To find the number of members who voted for the increase in dues, take the total number (400) and multiply by the numerical equivalent of 75% (0.75). This equals 300.

Which of the following lists the given values from greatest to least? √3, 1, 4, 8.8, -3/5 √3, 1, 4, -0.8, -3/5 4, 1, -0.8, -3/5, √3 4, √3, 1, -3/5, -0.8 4, √3, 1, -0.8, -3/5

4, √3, 1, -3/5, -0.8 This order is correct because √3 is approximately 1.7, which is between 4 and 1. The number 4 is the greatest positive, and therefore the greatest value. The value -0.8 is less than -3/5 because it is further from 0 in the negative direction.

A typist can type an average of 1000 words in 15 minutes. At this rate, how many words can the typist type in 1 hour? 250 15,000 4,000 60,000

4,000 This is correct. 1,000 words/15 min = x words/60 min; x = 4,000 words. This can also be calculated by multiplying 1,000 by 4, because the time duration is 4 times longer.

Which of the following expresses 425% as a decimal? 0.0425 0.425 4.25 425

4.25 When converting a percentage to the numeric equivalent, it is correct to divide by 100.

The ratio of students who take the bus to school to the total population of a high school is 2:5. Which of the following is the percent of students who take the bus? 10% 20% 40% 60%

40% To convert from a ratio to percent, divide the first number, 2, by the second number, 5. This equals 0.4, which is the equivalent of 40%.

The distance from Chicago, IL to St. Louis, MO is 300 miles. Which of the following is the distance in meters (m) between the two cities? (1 mile = 1.6 km) 187.5 m 480 m 187,500 m 480,000 m

480,000m 300 miles = 1 mile x 1.6 kmx = 480 km = 480,000 m

which of the following expressions appropriately compares 4.67 and 4 1/3? 4.67 < 4⅓ 4⅓ ≥ 4.67 4.67 = 4⅓ 4⅓ < 4.67

4⅓ < 4.67 This is correct. 4⅓ (≈ 4.33) is less than 4.67.

5/8 + 1 7/9 + 3 Simplify the expression 429/72 412/17 57/18 529/72

5 29/72 When adding mixed numbers, first find the least common denominator for the fractions. This produces the following expression: 45/72 + 156/72 + 3. This equals 4101/72, which can be simplified to 529/72.

10 C = ___ F Which of the following completes the equation? (Note: F= (C x 1.8 + 32) -12.2 -1.2 33.8 50.0

50.0 (10° C × 1.8) + 32 = 18 + 32 = 50.0º F

The data from a study shoes that 30 out of every 100 adults surveyed have alcohol sue disorder. At this rate, in a town with 2000 adults, how many would be expected to have alcohol use disorder? 30 300 600 60

600 This is correct. A correctly set up proportion might look like 30 alcohol users/100 adults = x/2000 adults. Multiplying both sides by 2000 adults will give (30 alcohol users x 2000 adults)/100 adults = x. Simplifying the left side leads to x = 600 expected alcohol users.

If 5 gallons of paint will cover 2,000sqft, how many gallons of paint are needed to paint 30,000sqft? 15 6,000 400 75

75 This is correct. This can be calculated by 5 gallons/2,000 sqft X 30,000 sqft.

L = 2/3k This equation is used to determine the length of crutches in inches (L) required for a person of a given height in inches (k). Which of the following is true? Each 1/3 inch of height adds 1 inch to the crutch length. Each 1 inch of height adds 1/3 inch to the crutch length. Each 2 inches of height adds 3 inches to the crutch length. Each 3 inches of height adds 2 inches to the crutch length.

Each 3 inches of height adds 2 inches to the crutch length. According to the equation, each 3 inches of height adds 2 inches to the crutch length (2/3 × 3 = 2).

5( x - 2 )^2 = 125 Solve the equation for X. {-3, -7} {-3, 7} {3, -7} {3, 7}

{-3, 7} Either of these numbers makes the equation true: (x - 2)2 = 125/5 (x - 2)2 = 25 x = 7 or x = -3

Solve the equation for x. | 2 + 1 | = 17 {8, 9} {-8, 9} {-9, -8} {-9, 8}

{-9, 8} Both of these numbers can be substituted for x to make the equation true.