Mathematics Teas Practice A

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 After 5 years, the computer is outdated and has no monetary value.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

A. -300t + 1,500 -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.

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

A. 20.5 cm -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

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

B. 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

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

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}

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

Nancy ran a distance of 5 km in 30 minutes. What is her speed in meters (m) per hour (h)?

10,000 m/hr -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

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

B. 1 5/8

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

B. 1.89

(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

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

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. 15/16 -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).

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

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

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

D. 100,000 cm^3 -if 22.2 is rounded to 20, 98 is rounded to 100, and 54 is rounded to 50 20 * 100 * 50 = 100,000

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

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

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

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

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.

D. 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)

| 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}

D. {-9, 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 the total number of houses in the neighborhood? A. 120 B. 300 C. 1,200 D. 3,000

C. 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 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

C. 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.

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

C. 4,000 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? A. 0.0425 B. 0.425 C. 4.25 D. 425

C. 4.25

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%

C. 40% -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 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

C. 600 -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

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

D. 5 29/72 5/8 + 1 7/9 + 3 5/8 + 16/9 + 3/1 45/72 + 128/72 + 216/72 389/72 5 29/72

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

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

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

D. 75 5 gallons/2,000 ft^2 * 30,000 ft^2