Accuplacer - Arithmetric

katy has 1 3/8 cups of flour. her cookie recipe calls for 2 cups of flour. how many more cups of flour does she need for the recipe?

1 3/8 = 11/8 (8/8)2 - 11/8 16/8 - 11/8 5/8

After working for the summer, Winston pays off $187.47 of his $375.00 credit card debt. How much credit card debt does Winston have after making this payment?

375.00 - 187.47 = 187.53

a travel soccer team has 39 players. each charter van fits 4 players. how many vans does the team need to fit all of their players

39/4 = 9.75 = 10

Janelle saves $8.60 every day for 25 working days. How much money will Janelle have saved in 25 days?

$8.60 × 25 = $215

(1+3)^2-10/2

(1 + 3)^2 - 10/2 (4)^2 - 10/2 (4x4=16) - 10/2 16 - 10/2 16 - 5 = 11

estimate the value of 1573 + 1211 - 697

(estimate) 2087 = 2100

If y + 3y + 5y = −18, then what is the value of y?

-2 When terms with the same variable are in the same equation, they can be combined. y + 3y + 5y = 7y 9y = −18 y = −18/9 y = −2

which of the following is the equivalent to 0.05 x 0.8

0.04

A machine is currently set to a feed rate of 5.921 inches per minute (IPM). The machinist changes this setting to 6.088 IPM. By how much did the machinist increase the feed rate?

0.167 IPM 6.088 − 5.921 = 0.167

a recipe for 1 batch of cookies uses 3/4 cup of sugar. how many cups of sugar are used in 1 1/2 batches of these cookies

1 batch = 3/4 cup of sugar 3/4 cup of sugar x 1 1/2 batch = 3/4 x 3/2 3/4 x 3/2 = 9/8 1 8 9 -8 1

The length of Janelle's Garden is 200 m. What is the length of Janelle's garden in feet? (Round to the nearest hundredth of a foot if necessary.)

1 foot = 0.3048 meters 200m×3.28084 656.168ft

what is 1,242/99 rounded to the nearest integer

1,242/99 ≈ 12.5454 13

7.54 / 4

1.885

Shawn is required to take 8 ounces of his medication daily. If the bottle contains 128 ounces of medicine, how many days will his medication last?

128/8 = 16

sachin got 14 out of 20 questions correct on a biology exam. what is his grade written in percent form?

14/20 = 0.7 0.7 x 100 = 70

estimate the approximate value of 1573 + 1211 - 697

1573≈1600 1211≈1200 697≈700 The revised equation is:1600+1200−700=2100 2087 ≈ 2100

what is the sum of 17.25 and 1.725 to the nearest integer

17.25 + 1.725 = 18.975

Jordy buys 5 lottery tickets for $17.50. How much would Jordy pay if he wanted to buy 7 lottery tickets?

17.50/5 = 3.5 3.5 x 7 = 24.5

myles had 185 songs in his music library. he then purchased an additional 30 songs. to the nearest percent what was the percent increase in the number of songs in myles's music library?

185 + 30 = 215 (215 - 185) = 30 30 /185 = 30 / 185 x 100% = 16

74/37

2

Find the sum of 67.98 and 194.8

262.78

John is following a 270-day fitness program. If John has already done 125 days of this program, how many days of the program does he have left?.

270 - 125 = 145

A conference planner has put together 280 binders for attendees and another 31 binders for presenters. How many total binders did the planner put together for attendees and presenters?

280 + 31 = 311 How many total? Put together?

What is the value of 3.85 + 0.004 + 0.117?

3.971

sophie went to a candy store and purchased three fudge slices for $3.98 each. if she paid with a $20 bill, how much change did she receive?

3.98 x 3 = 11.94 20 - 11.94 = 8.06

0.75, 3/5, 70% which of the following correctly orders the numbers in the given list from least to greatest?

3/5 = 0.6 70/100 = 0.7 0.75

which of the following fractions is greater than 2/5 and less than 3/5

3/7 = 0.43 > 2/5 = 0.40 3/7 = 0.43 < 3/5 = 0.60 1/4 = 0.25 3/7 = 0.43 o 3/8 = 0.38 5/8 = 0.63

In 18 hours, 42 trains pass near Emma's house. How many trains pass near her house in 12 hours?

42 x 12 = 504 504/18= 28

What is the value of 4/10 + 3/100 ?

43/100 adjust both fractions to have a denominator of 100: 100/10=10 4 x 10 = 40 10 x 10 = 100 40/100 + 3/100 = 43/100

A club has 36 members. If each member donates 12 items for an auction, how many items will there be in the auction?

432 To find the total number of items, multiply the total number of members by the number of items each member will donate 36 × 12 = 432 each member donates?

A store stocked 150 cans of popcorn for a weekend sale. That weekend, 72 of the cans sold. What percent of the cans of popcorn stocked were sold that weekend?

48% multiply by 100 to find the percent 72 of = division 72/150 72 ÷ 150 × 100 = 48%.

Add: 1.728 + 0.9975 + 2.42 =

5.

How many pints are there in 6 gallons?

6 gallons × (4 quarts/gallon) × (2 pints/quart) = 48 pints

Which of the following fractions is equal to 0.06?

6/100

6/21 - 5/7 =

6/21 - 5/7 common denominator (21): (5) x 3 = 15 (7)x 3 = (21) 6/21 - 15/21 (6/21) - (15/21) = (6 - 15)/21 = (-9)/21 (-9/21) ÷ 3/3 = (-3/7)

60% of what number is equal to 30

60% = 60 / 100 = 0.60 30 / 0.60 = 50

2 4/9 ÷ 11/9 =

9 x 2 + 4 = 22 22/9 ÷ 11/9 22/9 x 9/11 = (22x9) / (9x11) = 198/99 2 99 198

what is 3.1415 + 6.25 rounded to the nearest thousandths place?

9.3915 = 9.392

Jim runs the same distance every day for 8 days in a row. If Jim ran a total of 96 km in 8 days, what distance does he run each day?

96 ÷ 8 = 12

The car travels 98 kilometers in 1.4 hours. How many kilometers will it travel in 2 hours?

98 / 1.4 = 70 70 x 2 = 140

a teacher collected $8 from each student who will attend a class trip. the teacher collected a total of $232. how many students will attend the class trip?

Number of students = Total amount collected / Cost per student Number of students = $232 / $8 Number of students = 29

Carole works at a bookstore and a restaurant. In a 28-day period, Carole worked 1/4 of the days at the bookstore and did not work 1/14 of the days. On the remaining days Carole worked at the restaurant. How many days did Carole work at the restaurant during the 28-day period?

Carole worked: 1/4 of the 28 days at the bookstore, so she worked 7 days at the bookstore = (28/1 × 1/4) = 28/4 = 7 She did not work: on 1/14 of the days, which equals 2 days = (28/1 × 1/14) = 28/14 = 2 Subtracting these amounts from 28 gives the number of days she worked = 28 − 7 − 2 = 19

jordan has an extension ladder that currently reaches a height of 11 3/5 feet. she needs the ladder to extend to a height of 15 1/5 feet. how much longer, in feet, does the ladder need to be extended?

Desired height - Current height = Extension needed 15 1/5 feet - 11 3/5 feet 15 1/5 - 11 3/5 = (15 - 11) + (1/5 - 3/5) 4 + (-2/5) = 4 - 2/5 4 * 5/5 - 2/5 = (20/5) - (2/5) (20/5) - (2/5) = 18/5 18/5 = 3.6 remainder is 3 or 11 3/5 = 5 x 11 + 3 = 58/5 15 1/5 = 76/5 76/5 - 58/5 = 18/5 3 5 18 -15 3

which of the following is equivalent to 51/9

GCD : 3 51 ÷ 3 = 17 9 ÷ 3 = 3 17 ÷ 3 = 5 with a remainder of 2. 5 3 17 - 15 = 2

Xiaoming is making cookies. Each batch of cookies uses 3 eggs. If Xiaoming has 20 eggs, and assuming he has enough of the other ingredients to make the cookies, what is the greatest number of batches that he can make?

If Xiaoming has 20 eggs, and each batch of cookies uses 3 eggs: 20/3 = 6

paolo paid $28 for a hat that was originally priced at $35. by what percent was the hat discounted?

Percent Discount = [(Original Price - Discounted Price) / Original Price] x 100 Percent Discount = [($35 - $28) / $35] x 100 Percent Discount = ($7 / $35) x 100 Percent Discount = (0.2) x 100 Percent Discount = 20%

8/3, 2.28, 10/12 , 0.199 What number in the list above has the greatest value?

The fraction 8/3 is greater than 1 because the numerator is larger than the denominator. 8/3 = 2.66 10/12 = 0.83 2.28 0.199

the floor of a rectangular room is to be covered with squared floor tiles with 1 -foot sides. the floor of the room is 18 feet long and 12 feet wide. if the square tiles cost $4 each, how much would it cost to completely cover the floor with these tiles?

Total Area = length x width Area = 18 feet x 12 feet Area = 216 square feet the area of one tile is 1 square foot. Number of tiles = Total area of the room / Area of one tile Number of tiles = 216 square feet / 1 square foot Number of tiles = 216 Total cost = Number of tiles x Cost per tile Total cost = 216 tiles x $4/tile Total cost = $864

if a = 1, b = 3, c = 8, and d = 15, which of the following statements is true

a - d < b - c 1 - 15 < 3 - 8 -14 < -5

on the number line above where is the number 7/3 located?

between 2 and 3

which of the following is equivalent to 8/25

calculator 8/25=0.32 long division 0. 3 2 25 8 -75 50 -50 0

in a science class each student starts with 100 points. during the semester, john lost a total of 20 points from exams and 4 points from homework. how many extra credit points would he need to earn to have a total of 85 points at the end of the semester

20 + 4 = 24 100 - 24 = 76 85 - 76 = 9

what is 20% of 80

20% = 20/100 = 0.20 0.2 x 80 = 16

At the end of a dinner shift, three employees earned a total of 214.80 in tips. If they split the tips evenly, how much does each person receive?

214.80/3=71.60

What is 1,582 + 761?

2343

230.4 ÷ 7.2

32

Which of the following inequalities is true?

5/8 > 6/10 = 0.625 > 0.6 10/10 x 5/8 = 50/80 8/8 x 6/10 = 48/80 50/80 > 48/80

students are watching a series of instructional videos that are each 8.7 minutes long. how many minutes will they spend watching all 6 of the videos?

8.7 x 6 = 52.2

Which of the following is equivalent to 8/25?

8/25 = 0.32

on a number line, point Q is located at 1.6. the distance from point P to point Q is 1.02. which of the following could be the location of the point P on the number line?

1.6 - 1.02 = 0.58

jason invests $325 in a bank account. the bank has an annual interest rate of 24%. how much interest did his investment earn after one year?

325 x 24 x 1 = 7800 7800/100 = 78

What is the value of 2.84 × 3.9?

11.076

in the 2014 mayoral election in a certain city 32,000 votes were cast. in the 2018 mayoral election for the same city, 28,800 votes were cast. what is the percent decrease in the number of votes cast from 2014 to 2018.

32,000 - 28,800 (3200 / 32,000) * 100% (0.1) * 100% 10%

which of the following is the equivalent to 24/80

0.3

if 42% of a number N is 8.4 what is the value of n

0.42N = 8.4 N= 8.4/0.42 N = 20

which of the following statements is true

0.6 < 0.61 < 0.7

0.075, 0.75%, 3/4 Which of the following correctly orders the values above from least to greatest?

0.75%: 0.75 / 100 =0.0075 0.075 3 / 4 = 0.75

What is 0.8637 rounded to the nearest (hundredth)?

0.86

What is 0.8637 rounded to the nearest hundredth

0.86

the gas tank of dave's car has a capacity of 12 gallons. the tank was 3/8 full before dave filled it to capacity. it cost him $2.50 per gallon of gas. how much did dave spend in dollars to fill the tank to capacity?

1 - 3/8 8/8 - 3/8 = 5/8 5/8 x 12 5 x 12 = 60 60/8 ÷ 4/4 15/2 = 7.5 7.5 x 2.50 = 18.75

the wholesale price of a sweater is $35. the retail price of the sweater is 10% more than wholesale price. what is the retail price of the sweater?

10% of $35 is= 0.10 * $35 = $3.50 $35 + $3.50 Retail price = $38.50

rose correctly answered 70% of the spelling bee questions. if there were 220 questions total how many did she answer incorrectly?

100 - 70 = 30 0.30 x 220 = 66

On the first day of the harvest, 186 boxes of oranges were collected. This is 29% less than what was collected on the second day. How many boxes were collected on the second day? (Round the answer to the nearest whole number)

100% - 29% = 71% (186) 100/71 = x/186 (186) 18600/ 71= x 261.97 = x

125 is what percent of 50?

125 / 50 = 2.5 2.5 x 100 =250 x/100 = 125/50 x50 100 x 125 =12500 x50 = 12500 x = 250

One box of apples contains 25 apples. How many apples are there in 17 such boxes?

25 × 17 = 425

If Manuel deposits 25% of $130 into a savings account, what is the amount of his deposit?

25% is equivalent to 0.25 as a decimal 0.25 x 130 = 32.50 into a savings account what is the amount

which of the following has the least value

30% of 30 = 0.30 x 30 = 9

One pack of a vaccine contains 32 vials. How many vials are there in 18 packs of the vaccine?

32 × 18 = 576

to the nearest integer, what is the product of 32.9 and 6.2?

32.9 x 6.2 = 204.38

Joy donated $53 to the Salvation Army and $99 to the Red Cross Society. How much money did Joy donate in total?

53 + 99 = 152

What is the remainder when 599 is divided by 9?

599/9 = 66.5555 remainder is 5 9 x 66 = 594 594 - 599 = 5

round 625/1000 to the nearest hundredths place

625/1000 = 0.625 0.63

7 1/3 x 2 2/11 = 16

7 1/3 = (7 * 3 + 1) / 3 = 22/3 2 2/11 = (2 * 11 + 2) / 11 = 24/11 (22/3) * (24/11) = (22 * 24) / (3 * 11) = 528/33 528/33 GCD=33 (528/33) ÷ (33/33) = (528/33) / 1 = 528/33 528 ÷ 33 = 16 with a remainder of 0 = 16 0/33

If 4/3 ÷ 1/6 = p, then the value of p is between which of the following pairs of numbers?

7 and 9 4/3 ÷ 1/6 = 4/3 × 6/1 = 24/3 = 8

7.54/4

7.54 / 4 = 1.885

which of the following is equivalent to (7/4)(1/2)

7/4 = 1.75 1/2 = 0.5 1.75 x 0.5 = 0.875 7/8 = 0.875

7/8 ÷ 9/5 =

7/8 ÷ 9/5 7/8 x 5/9

David pays $72.50 for 50 copybooks. How much was a copybook?

72.50/50 = 1.45