TEAS ONLINE PRACTICE A (MATH)

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

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? A. 10% B. 20% C. 40% D. 60%

B. There is a positive correlation between depth and 5-foot diving time.

A group of researchers studied the relationship between the depth of a diver beneath the sea surface and the time it takes that diver to descend feet. Which of the following statements describes the relationship between the two variables represented in the scatter plot? A. As the depth increases, diving time decreases. B. There is a positive correlation between depth and 5-foot diving time. C. As the depth increases, there is no effect on diving time. D. There is a negative correlation between depth and 5-foot diving time.

B. 10x -5 rationale: (x^2 + 4x +4) - (x^2 - 6x +9) = x^2 + 4x +4 - x^2 + 6x -9 = 10x -5

(x^2 + 4x + 4) - (x^2 - 6x + 9). Simplify the expression above. Which of the following is correct? A. 10x + 13. B. 10x -5 C. -2x + 13 D. -2x - 5

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D. 50.0 rationale: (10°C * 1.8) + 32 = 18 + 32 = 50.0°F

10°C = ____°F. Which of the following completes the equation above? (Note: °F = [°C x 1.8] + 32) A. -12.2 B. -1.2 C. 33.8 D. 50.0

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

5(x-2)^2 = 125. Solve the equation above for x. Which of the following solution sets is correct? A. {-3, -7} B. {-3, 7} C. {3, -7} D. {3, 7}

D. 5 29/72 rationale: When adding mixed number, first find the least common denominator for the fractions. This produces the following expression: 45/72 + 1 56/72 +3. This equals 4 101/72, which can be simplified 5 29/72

5/8 + 1 7/9 + 3. Simplify the expression. Which of the following is correct? A. 4 29/72 B. 4 12/17 C. 5 7/18 D. 5 29/72

B. 15/16 rationale: When subtracting mixed numbers, first find the least common denominator (LCD) for the fractions. This produces the following expression: 8 10/16 - 7 11/16. since 10/16 is less than 11/16, change the mixed numbers to improper fractions and subtract (138/16 - 123/16 = 15/16).

8 5/8 - 7 11/16. Find the difference. Which of the following is correct? A. 3/4 B. 15/16 C. 1 1/16 D. 1 3/4

B. 1 5/8

9 - 7 3/8. Find the difference. Which of the following is correct? A. 1 3/8 B. 1 5/8 C. 2 3/8 D. 2 5/8

A. -300t + 1,500 rationale: 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.

A computer is worth $1,500 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? A. -300t + 1,500 B. -5t + 1,500 C. -300t + 5 D. -5t + 5

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A student leaves college to drive home for the weekend. Along the way he makes one stop to eat lunch. He doesn't make any other stops. Which of the following graphs represents his trip?

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

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

D. 100,000 cm^3 rationale: 22.2 is rounded to 20. 98 is rounded to 100 54 is rounded to 50 20 x 100 x 50 = 100,000

Estimate the volume of a rectangular box that has a height of 22.1 cm, a length of 98 cm, and a width of 54 cm. The volume of a rectangular box can be calculated by multiplying length x width x height. A. 180,000 cm^3 B. 90,000 cm^3 C. 117,000 cm^3 D. 100,00 cm^3

A. 308 There are 1,000 liters in 1 kiloliter: 1,400 liters = 1.4 kiloliters. 1.4 x 220 = 308 imperial gallons

How many imperial gallons are there in 1,400 liters? (Note: 1 kiloliter = 220 imperial gallons) A. 308 B. 3,080 C. 30,800 D. 308,000

A. 12% The easiest way to answer this question is to round the numbers. Let's say the tip is $10 and the total was $87. $10/$87 = approximately 11%. (A) is the closest answer to our approximation.

If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip? A. 12% B. 17% C. 25% D. 31%

D. 75 rationale: 5 gallons/2,000 ft^2 x 30,000 ft^2

If five gallons of paint will cover 2,000 square feet, how many gallons of paint are needed to paint 30,000 square feet? A. 15 B. 6,000 C. 400 D. 75

B. 2 miles rationale: 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

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? A. 1.5 miles B. 2 miles C. 2.5 miles D. 4 miles

C. 1,200 rationale: 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

In a neighborhood, 5% of the houses have red mailboxes. A student counts 60 red mailboxes in the neighborhood. Which of the following is the total number of houses in the neighborhood? A. 120 B. 300 C. 1,200 D. 3,000

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

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 statements is true? A. Each 1/3 inch of height adds 1 inch to the crutch length. B. Each 1 inch of height adds 1/3 inch to the crutch length. C. Each 2 inches of height adds 3 inches to the crutch length. D. Each 3 inches of height adds 2 inches to the crutch length.

10,000 m/hr rationale: 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

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

C. 300 rationale: 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.

The attendance at a nursing convention was 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? A. 75 B. 100 C. 300 D. 325

A. Teenagers spend more time online gaming than reading.

The bar graph shows how long teenagers in high school spend reading and online gaming. Which of the statements below is true about the bar graph? A. Teenagers spend more time online gaming than reading. B. For up to 1 hr, teenagers spend more time gaming than reading. C. Approximately twice as many teenagers spend 3 to 4 hr gaming compared to teenagers who spend 1 to 2 hr reading. D. About 9% of teenagers read for 3 to 4 hr.

C. 600 rationale: A correctly set up proportion might look like 30 alcohol users/100 adults = x/2,000 adults. multiplying both sides by 2,000 adults will give (30 alcohol users x 2,000 adults)/100 adults = x. simplifying the left side leads to x = 600 expected alcohol users

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

B. 2.5 km

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

D. 480,000 ratiaonale: 300 miles/x = 1 mile/1.6 km x = 480 km1 km = 1,000 m 480 km = 480,000 m

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

A. 20.5 cm rationale: The value 20.5 rounded to the nearest whole cm is 21 cm and is the smallest possible length The value 20.49 rounded to the nearest whole is 20 cm The value 21.44 rounded to the nearest whole number would be 21 cm; however, this is the largest possible answer The value 20.6 rounded to the nearest whole cm is 21 cm; however, this is greater than 20.5 and not the smallest possible length

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

C. 4.25

Which of the following expresses 425% as a decimal? A. 0.0425 B. 0.425 C. 4.25 D. 425

D. 4 1/3 < 4.67 rationale: 4 1/3 (4.33) is less than 4.67

Which of the following expressions appropriately compares 4.67 and 4 1/3? A. 4.67 < 4 1/3 B. 4 1/3 >= 4.67 C. 4.67 = 4 1/3 D. 4 1/3 < 4.67

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

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

B. 1.89

Which of the following is 5.4% of 35? A. 0.189 B. 1.89 C. 18.9 D. 189

C. 4, √3, 1, -3/5, -0.8

Which of the following lists the given values from greatest to least? √3, 1, 4, -0.8, -3/5 A. √3, 1, 4, -0.8, -3/5 B. 4, 1, -0.8, -3/5, √3 C. 4, √3, 1, -3/5, -0.8 D. 4, √3, 1, -0.8, -3/5

C. -3, -3/10, 3, 3.3

Which of the following lists the values in order from least to greatest? A. -3, -3/10, 3.3, 3 B. -3/10, -3, 3, 3.3 C. -3, -3/10, 3, 3.3 D. -3/10, 3, -3, 3.3

B. More students prefer romantic comedies than independent film.

Which of the following statement is true about the circle graph? A. Over half of the students prefer horror movies. B. More students prefer romantic comedies than independent film. C. The percent of students who prefer action is the same as the percent who prefer drama. D. Musicals are the most popular movies among the students.

C. MCMVI In the Roman numeral system, M = 1000, D = 500, C = 100, L = 50, X = 10, V = 5, and I = 1. The ones, tens, hundreds and thousands must be treated as separate items. If a smaller item precedes a larger item, as in CM, it is treated as the difference of the two. so, CM = 1000 − 100 = 900. 1000=M 900= CM 6=VI

Write the number 1906 in Roman numerals. A. MCMLXVIII B. MCMXVI C. MCMVI D. XIXVI

D. {-9, 8}.

| 2x + 1 | = 17. Solve the equation for x. Which of the following solution sets is correct? A. {8, 9} B. {-8, 9} C. {-9, -8} D. {-9, 8}