PRAXIS - Math Core

Doug is placing 175 books on shelves. If each shelf can hold at most 20 books, what is the least number of shelves needed to store the 175 books?

Since 175/20= 8.75 , The least number of shelves needed to store the 175 books is 9. Round up result

Dawn deposited money into a savings account that earned no interest. After depositing the money, she made withdrawals of $25.50 from the account at regular time intervals. After 12 withdrawals, the balance of her account was $872. Which of the following equations models the balance, y, in dollars, of Dawn's savings account after x withdrawals?

Since the balance of the account is $872 after 12 withdrawals, we are left with this equation. P = 872 +25.50 x 12 which equals 1,178 New equation would be: Y = 1,178 - 25.50x

Barry used a calculator to add the five numbers above. When Barry input the numbe4rs in the calculator he reversed the digits in one of the five numbers. The value of the sum of the five numbers is 18 from the actual result. Which number was entered reversed? 51 74 93 86 61

The difference between each number and the number obtained by reversing its two digits should equal 18. EX: 51-15=36 EX: 74-47= 27 EX: 86-68=18

When 5.462.93 is multiplied by 10, which number is in the tens place?

The tens place is the number that is the second digit place to the left of the decimal point. =2

Bill takes a vitamin B every 3 days and a vitamin C pill every 4 days. If he takes both pills on day 1, for how many of the next 65 days will Bill take both pills on the same day?

five

In a parking lot there are only white cars, green cars, and red cars. If one car is selected at random from the lot, the probability that the selected car would be a green car is 1/6 , and the probability that it would be a red car is 1/8 What is the probability that it would be a white car?

1 - 1/6 - 1.8 = .708333 Turned into Fraction = 17/24

In the figure ABC and DEC are similar. What is the ratio of side DE to side AB? ABC = 6 and 9 DEC = 10 and 15

1. 10/6 = 15/9 2. 15/9 simplified = 5/3

A local goverment spent 82 percent of the 12,500 budgeted for snow removal. How much of the budgeted money for snow removal was NOT spent?

1. 100% - 82% = 18% 2. 18% x 12,500 = 2, 250 OR 1. 82% x 12,500 = 10,250 2. 12,500 - 10,250 = 2,250

5 and 2/3 DIVIDED BY 2 and 1/2=

1. 5 and 2/3 = 17/3 divided by 5/2 2. 17/3* 2/5 = 34/15 3. 34/15 converted to improper fraction is 2 and 4/15

A map of amy's city is drawn to scale. The actual distance from her home to her school is 9.5 miles, while on the map is 3.8 inches. If on the map the distance bw the park and the train station is 1.6 inches, what is the actual distance between the park and the train station?

1.6x9.5 / 3.8 = 4

Which of the following numbers are equal to 10,000,000

10 million and 10 thousand thousands

step one: select a number x step two: add 12 to the number step three: multiply the result by 3 step four: divide result by 4 Result should be 15

8

Dawn deposited money into a savings account that earned no interest. After depositing the money, she made withdrawals of $25.50 from the account at regular time intervals. After 12 withdrawals, the balance of her account was $872. Which equation models the balance :Y , in dollars of Dawns savings account after X amount of withdrawals.

872-25.50x

Which of the following statements are true for all positive numbers, R, S, and T.

A = r x (s + t) = (s + t) X r B= r + (s -t) = (r + s ) - t

The figure above is composed of 5 equal sized squares. If the perimeter of the figure is 96 inches, what is the area of the figure in square inches? image is of a hollowed out looking cross sign ( + )

Count each side of the figure, so 12. 96/12 = 8. 5x8^2 =320

During a 5 day sale at a car dealership, 5 salespeople sold a total of 140 cars. How many cars does each car pic represent?

Count the total amount of car pictures in the table. 16 full cars, 3 half-cars. 140/ 16+3 x 0.5 = 8

In a car lot the ration of the number of new cars to the number of preowned is 6 to 5. The total number of new and preowned cars on the lot is 66. If 4 new cars and 2 preowned cars are sold and are removed from the lot, what fraction of the remaining cars on the lot are preowned?

1. 66 x 6/6+5 = 36 2. 66 x 5/6+5 = 30 3.28/60 =7/15

In a group of 120 recruits at the police academy, 30 are college grads, and 25 are army veterans, if 15 of the recruits are both college grads and army veterans, how many are NEITHER college grads or army vets?

1. 80-15=65 2. 25-15=10 3. 65+15+10=90 4.120-90=30 answer is 30

The table above shows the frequency of the letter grades recieved. What fraction of the students in the class scored either a B or a C?

1. Count the # of students in the class - 25 2. Add the number of students who scored a B or a C - 1+9=10 3. The fraction of the kids who scored either a B or a C is 10/25 simplified: 2/5

A measurmeant of 4.5 yards is how many feet longer than a measurement of 132 inches?

1. Since 1 yard is 3 feet, 4.5x3 or 13.5 2. since 12 inches is 1 foot, 132/12 or 11ft 3. 13.5-11ft = 2.5ft

The table shows Geralds class schedule for a week. The first thru fifth time slots are 50 minutes each. The sixth time slot is 75 minutes. On thursday what fraction of the time from 8:00am - 2:15pm is Gerald scheduled to be in class?

1. The hours in b/w 8:00 - 2:15 = 6hours and 15 min or 6x60+15=375 min 2.On thursdays he has two 50 min classes and one 75 min class. 2x50 + 75=175 3. turn info into fraction 175/375=7/15

In a game a player is to select a coin at random from a collection of 8 red coins, 6 blue coins, 4 orange coins, and 2 white coins. What is the probability that the coin selected will be either red OR orange?

1. The total number of coins is 20 coins 2. number of red and orange coins = 12 12/20 reduced is 3/5

A student used a calculator to divide a number 1/3, when instead the student meant to multiply the number by 9. Which of the following single arithmic operations can be produced to produce the intended result?

1. dividing a # by 1/3 is the same as multiplying a number by 3 2. Thus you would just multiply by 3.

The circle graph above shows the distribution of expenses for a recent conference. If the printing expense is 2,400 what is the total expense for the conference? Printing - 15% Food - 25% Travel and Acom. -55%

1.$2400/15% or 0.15 = 16000

Amy rents a table at a fiar for which se is charged 10 dollars a day to rent. She buys apples from a farmer for $0.60 each and sells them at her table for $1 each. If she expects to make a total profit of $50 for the day, what is the LEAST amount of apples she must sell?

1.the profit of each apple sold is $1.00 - $0.60 which equals 0.40 cents 2. # of apples that must be sold to cover the daily cost is $10 3. $10+$50/0.40 = $150

The table shows the distribution of the employees in a certain company by age and marital status. If one of the employees is to be randomly selected what is the probability that this employee will be unmarried and age 25 or older? YOUNGER THAN 25 { 25 OR OLDER married: 31 { 43 unmarried: 26 {20

1/12

The interior measurments of the base of a rectangular fish tank are 12 inches by 25 inches. the tank is sitting on a flat surface and contains 3600 cubic inches of water. What is the height in inches of the water in the tank?

12 x 25 x h =3600 ht = 12

A hamburger franchise is owned by 3 people. One owns 7/12 of the business, The second owns 1/6 of the business. What fraction of the business does the third person own?

12-7-3/12

The diagram above represents a circular sphere the straight path from point A to point B going through the center of the circle. The circumference of the circular garden is 120 yards. How long is the path from A to B in yards?

120 / 3.14 (pie) = 38

The number of mold cells doubles every 12 minutes. At this moment there are X amount of mold cells present on a piece of bread. Which of the following represents the number of mold cells present one hour from now?

16x^2 = 32x(cells are DOUBLED)

The price of a coat was reduced from $180 to $144. What is the percent decrease in the price of the coat?

180-144 = 36 (36/180) =20%

In the isocles triangele angle A is congruent with andble B. IF angle A has a measure of 53 degrees, what is the measure of angle C?

180-2x53= 74

If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, how many minutes will it take the machine to fill 240 bottles? 240x

240x3/40=18

Results from a survey conducted in a certain grocery store showed that 3 out of 5 people preferred crispy flakes as compared to crunchy flakes cereal. Based on this survey if a total of 2,500 custome4rs bought one of these two cereals, how many most likely purchased crunchy-flakes cereal?

2500x2\5=1000

if A *B is divisible by 4, then a is divisible by 4, or B is divisible by 4. Which statement proves this theory is FALSE.

2x6 =12 12 is divisible by 4 but 2 and 6 are not.

Which of the following expressions is equivalent to 13x-21 for all numbers x?

3 (x - 7) +10x

Which of the following expressions is equivalent to 13x - 21 for all numbers?

3 (x-7) +10x

On a hiking trip the ratio of the number of children to the number of adults is 3 to 5. Which of the following could be the total number of children and adults on the hiking trip?

3+5=8 So, only option is a multiple of 8. A: 56

What is the greatest common divisor of 378 and 420?

378 = 2 x 3^3 X 7 420= 2^2 x 3 x 5 x 7 The greatest common divisor of the two problems is 2, 3, and 7. compute: 2 x 3 x 7 =42.

Heating oil is to be poured at the constant rate of 4.5 gallons per min into a 400 gallon tank that already contains 115 gallons of heating oil. What is the fraction of the tank's total capacity will be full in 30 minutes?

4.5 x 30 =135 115 + 135=250gallons 250/400 can be simplified to 5/8

Information: Luke spent a total of 25 days visiting 3 people. First he visited his brother in Philadelphia, next he visited his cousin in New York City, and then he visited his friend in Boston. Problem: How many days did Luke spend visiting his brother? The information given above is not sufficient to solve the problem. Which of the following additional pieces of information together with the information given above is sufficient to solve the problem?

A.Luke spent 25 days on his vacation.

What is the range of all integers greater than 40 and less than 99 that are multiples of 3?

A: 54 The list of integers greater than 40 and less than 99 that are ALSO multiples of 3 are: 42,45,48,....90,93, and 96. subtract highest integer 96 from lowest integer 42.

The table above shows the distribution of the employees in a certain company by age and marital status. If one of the employees is to be randomly selected, what is the probability that the employee selected will be unmarried and age 25 or older?

The total number of employees is 31+43+26+2031+43+26+20, or 120. The number of employees who are unmarried and age 25 or older is 20. If one of the employees is to be randomly selected, the probability that the employee selected will be unmarried and age 25 or older 20/120simplifieto1/6