Teas Math test ATI

5(x-2)²=125 solve the equation for X, which is the correct set? {-3,-7} {-3,7} {3,-7} {3,7}

{-3,7} 5(x-2)²=125 divide both sides by 5 (x-2)² = 125/5 =25 get rid of sq root √ x-2= √25 = 5 add over the +2 x= 7 apply the other side x-2= -√25: x= -3

| 2x + 1 | = 17 Which solution set is correct? {8,9} {-8,9} {-9,8} {-9,0}

{-9, 8} work out for both | 2x + 1 | = 17 and | 2x + 1 | = -17 Both of these # can be subbed in for x to make equation true. simplify on each side

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 After 5 years, the computer is outdated and has no monetary value.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? -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, it's worth $0. This means the computer's value decreased by $1500/5 years or $300 (t)each year. + original value 1500

9-7 3/8 Find the difference which is correct 1 3/8 1 5/8 2 3/8 2 5/8

1 5/8 9-(7 + 3/8) = 9-7 - 3/8= 2/1 - 3/8 = 16/8 - 3/8 = 13 /8 = 1 5/8

Which of the following lists the values in order from least to greatest?

-3, -3/10, 3, 3.3

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

50.0 (10 x 1.8)+32= 50

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

600 30x2000/100=600

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

10,000m/h Multiply by 2 10km/hr x 1000m/km

(x² + 4x +4) - (x² - 6x+9) Simplify expression above 10x+13 10x-5 -2x+13 -2x-5

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

in a neighborhood, 5% of the houses have red mailboxes, a student counts 60 red mailboxes, which is the total number of houses in the neighborhood? 120 300 1200 3000

1200 change 5% to decimal = 0.05 take the total number red mailboxes =60/ 0.05 total is 1200

8 5/8 - 7 11/16 Find the difference which is correct: 3/4 15/16 1 1/16 1 3/4

15/16 when subtracting mixed numbers, 8 5/8 - 7 11/16 first; find LCD so 8 10/16 - 7 11/16, now change the improper fractions and then subtract (138/16 - 123/16= 15/16)

The owner of the hotdog stand records the number of hot dogs purchased by each customer on a particular day an obtains the following data: # hot dogs purchased # of customers 1 = 50 2 = 27 3 = 15 4 = 6 5 = 2 What is the total # of hot dogs purchased during the day? 15 100 115 183

183 (1 x 50, 2 x 27, 3 x 15, 4 x 6, 5 x 2) 50 + 54 + 45 + 24 + 10 = 183

In a city: one block=0.25 miles. The high school is 4 blocks east of a grocery store. The library is 6 blocks east of the grocery store. If a student walks to the library after school and the walks to the grocery store a few hours later. how many miles in total has the student walked? 1.5miles 2miles 2.5miles 4miles

2 miles In total the student walks 8 blocks x 0.25= 2 miles the street laid out Grocery store(4 blocks)___ High school (2blocks)_____ Library

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

2.5km the distance from A to E= 10km, distance from B to E= 8km then the distance from A to B = 2km so A to C is 4.5km 4.5km - 2km= 2.5km

The Distance between A and E = 10km. The Distance between B and E, as well as A and d = 8km. If the distance between A and C is 4.5km. what is the distance between B and C? 2.0km 2.5km 3.5km 6.0km

2.5km the distance from A to E= 10km, distance from B to E= 8km then the distance from A to B = 2km so A to C is 4.5km 4.5km - 2km= 2.5km

The length of an envelope is 21cm rounded to the nearest whole CM.which is the possible real length of the envelope? 20.5 20.49 21.44 20.6

20.5 this value is rounded to the nearest whole 21cm

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 add all the totals up = 0.96 that mean 96/100 which can be simplified as 24/25

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? 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 it by the numerical equivalent of 75% (0.75). This equals 300

Which of the following expressions appropriately compares 4.67 and 4 1/3? 4.67 < 4 1/3 4 1/3 > 4.67 4.67 = 4 1/3 4 1/3 < 4.67

4 1/3 < 4.67 This is correct. 4 1/3 (=4.33) is LESS THAN 4.67

which of the following lists the given values from greatest to least? √3, 1, 4, -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 √3 is approx 1.7 which is between 4 and 1. The number 4 is greatest, -3/5 (-0.6)is greater than -0.8

A typist can type 1000 words in 15 mins. how many words can be typed in an hour? 250 15,000 4,000 60,000

4,000 1000/15 = X words/60 mins x=4,000

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

4.25 convert to a decimal divide by 100

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

40% 2/5= 0.4 which = 40%

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

480,000M 300 miles/ x = 1 mile/ 1.6km x= 480km = so KM converted to M multiply 1000 = 480,000,

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

5 29/72 when adding mixed numbers, find the LCD. 45/72 + 1 56/72 +3 = 4 101/72 can be simplified to: 5 29/72

If 5 gallons of paint will cover 2,000 square feet, how many gallons of paint are needed to paint 30,000 square feet? 15 6000 400 75

75 2,000/5 = 400 30,000/400 = 75 calculated by 5 gallons/ 2,000 ft ^2 x 30,000 ft^2

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

B. 1.89 To calculate the percent of a number, multiply 35 by the decimal equivalent of 5.4% = .054. This equals 1.89

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

D. 100,000cm ^3 Round 22.1 to 20 Round 98 to 100 Round 54 to 40 Multiply all and you get 100.

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 inches 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 x 3=2)

A student leaves college to drive home, he makes one stop to eat lunch, he doesn't make any more stops. what would this look like on a graph to represent the student's trip? graph: X distance from home Y hours Line from 250 miles going down, has stable straight line then continues going down Line from 0 miles going up, has stable straight line then continues going up Line starts a 0 miles goes up then straight the goes down Line starts at 250 miles plunges gown with straight stable lines in between

Line from 250 miles going down, has stable straight line then continues going down

Movie preferences; action 25 %, horror 20%, independent films 10%, drama 15%, musicals 10%, romantic comedies 20% which statement is true about the circle graph? over half of the students prefer horror movies More students prefer romantic comedies than independent films The percent of students who prefer action is the same as the percent who prefer drama. Musicals are the most popular among students

More students prefer romantic comedies than independent films because 205 is greater than 10%

Use the scatter plot: Diving Time vs. Feet Beneath The Sea Surface 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 5 additional feet. Which of the following statements describes the relationships between the two variables represented in the scatter plot? As the depth increases, diving time decreases There is a positive correlation between depth and 5-foot diving time As the depth increases, diving time also increases There is a negative correlation between depth and 5-foot diving time

There is a positive correlation between depth and 5-foot diving time as the depth increases, diving time also increases. A positive correlation means that as one variable increases so does the other one.