Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

GRE Prep > Word Problems > Flashcards

Word Problems Flashcards

You may prefer our related Brainscape-certified flashcards:
GRE® Vocabulary flashcards GRE® Psychology flashcards
0
Q

When you see “quotient”, what should you do?

A

Divide

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
1
Q

When you see “product”, what should you do?

A

Multiply

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

When you see “difference”, what should you do?

A

Subtract

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

The difference between x and y?

A

x-y

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

m decreased by n is?

A

m - n

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

a diminished by b is?

A

a - b

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

x from y is?

A

y - x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

m less n is?

A

m - n

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

a less than b is?

A

b - a

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

What sign means “at least”?

A

≥

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

What sign means “not more than”?

A

≤

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

What sign means “over”?

A

>

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

What sign means “under”?

A

<

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

m times the sum of q and r is?

A

m(q + r)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Six less the product of x and y is?

A

6 - xy

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

The difference between c and d divided by f is?

A 
f
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

b less than the quotient of r divided by s is?

A

r/s - b

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

The sum of d and g is the same as the product of h and r is?

A

d + g = hr

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

x is at least y means?

A

x ≥ y

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Zeb’s age n is not more than 21 means?

A

n ≤ 21

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Let I = my age. I am over 30 years old. How do you write this?

A

I > 30

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

Let p = most people. Most people are under 7 feet tall.

how do you write this?

A

p < 7

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

How are ratios written?

A

3/5

3:5

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

What is the ratio of 5 ounce to 2 lbs.?

A

5/32

16 oz to a pound

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

A board is cut into two pieces that are in the ratio of 3 to 4. If the board is 56 inches long, how long is the longer piece?

A

7x = 56

x = 8

4(8) = 32

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

If the sum of 3 consecutive integers is twice the smallest, then what is the smallest integer?

A

x + (x +1) + (x + 2) = 2x

3x + 3 = 2x
3 = -x
-3 = x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

The sum of 5 consecutive even integers is 210. What is the sum of the smallest two?

A

Because there are an odd number of integers, you can divide the number by 5 to get the mean (a.k.a., the third number).

210/5 = 42

This would make the numbers 38, 40, 42, 44, & 46

38 + 40 = 78

27
Q

The sum of four consecutive integers is -50. What is the sum of the two largest?

A

4x + 1 + 2 + 3 = -50

4x + 6 = -50

4x = -56

x = - 14

  • 14, -13, -12, -11
  • 11 - 12 = -23
28
Q

p years ago, Mary was q years old. In r years, she will be how many years old?

A

q + p + r

30
Q

For speed…

time = ?

A

distance / speed

31
Q

For speed…

distance = ?

A

speed x time

32
Q

speed = ?

A

distance/time

34
Q

A plane leaves Indianapolis traveling west. A plan leaving 30 mph faster leaves Indianapolis traveling east. After two hours the planes are 2,000 miles apart. What is the speed of the faster plane

A

2000 = 2x + 2(x + 30)

2000 = 4x + 60

4x = 1940 || x= 485

515 mph

35
Q

A car leaves Chicago at 2pm going west. A second car leaves Chicago at 5pm going 30 mph faster. At 7pm the faster car hits the slower car. The accident occurred after how many miles?

A

Early car: 5 hrs, speed, distance of 5(speed)
Late car: 2 hrs, speed + 30, distance of 2(speed + 30)

The distances are the same so….

5s = 2(s + 30) || 5s = 2s + 60

3s = 60 || s = 20

5(20) = 100 miles

36
Q

Sue drives for 2 hours at 60 mph and 3 hour at 70 mph. What is her average speed

A

2(60) + 3(70) / 5 = 120 + 210 / 5 =

330 / 5 = 66 mph

37
Q

Don goes 40 mph in one direction and returns at 60 mph. What is his average speed?

A

120 = LCD || time = distance / speed

120/40 = 3 hrs, 120/60 = 2 hrs

2(120) / 5 = 240/5 = 48 mph

38
Q

Mike must have at least an 80 average but less than a 90 average to get a B. If he received 98, 92, and 75 on the first three tests, which grade will ensure his B?

A

(98 + 92 + 75 + x)
80 ≤ ——————— < 90
4

      265 + x 80 ≤ ----------- < 90
           4

4(80) = 265 + x || 4(90) = 265 + x
320 = 265 + x || 360 = 265 + x
55 = x || 95 = x

55 to less than 95

39
Q

Which is larger: -9 or -15?

A

-9 is higher

40
Q

A triangle’s angles total to ____ degrees.

A

180

41
Q

Meg is 6 times as old as Peg. In 15 years, Meg will be 3 times as old as Peg. What is Meg’s current age?

A

6P + 15 = 3(P + 15)

6P + 15 = 3P + 45

3P = 30

P = 10

Meg = 6(10) = 60

42
Q

A fraction, when reduced is 2/3. If 6 is added to the numerator and 14 is added to the denominator, the fraction reduces to 3/5. The sum of the original numerator and denominator is ______.

A

2x + 6 3
——— = —
3x + 14 5

5(2x + 6) = 3(3x + 14)

10x +30 = 9x + 42

x = 12

2(12) + 3(12) = 24 + 36 = 60

43
Q

If a job can be completed in x hours, ____ amount of work can be completed each hour.

A

1/x

44
Q

Rob can do a job in 8 hours. Nan can do the same job in 4 hours. How long will it take them to do the job together?

A

x/8 + x/4 = 1

x/8 + 2x/8 = 1

3x/8 = 1

3x = 8

x = 2 ⅔

45
Q

Sandy takes twice as long to do a job as Randy. They finish a job together in 3 hours. How long would it take Randy to do the job alone?

A

3/x + 3/2x = 1

6/2x + 3/2x = 1

9/2x = 1

9 = 2x

4.5 = x

46
Q

Walnuts selling at $6/lb are mixed with 2 lbs of almonds costing $9/lb to give a mixture selling at $7/lb. How many pounds of walnuts were used?

A

6w + 9(2) = 7(w + 2)

6w + 18 = 7w + 14

4 = w

47
Q

Water is poured into a tank at the same time a pipe is opened that drains the tank. If the tank if filled in 10 hours and the tank can empty in 15 hours - assuming the tanks starts out empty - how many hours does it take to fill the tank?

A

x/10 - x/15 = 1

3x/30 - 2x/30 = 1

x/30 = 1

x = 30

48
Q

Adult tickets cost $10. Children’s tickets cost $5. If 100 tickets are sold and $800 is taken in, how many adult tickets were sold?

A

10AT + 5(100 - AT) = 800

10AT + 500 - 5AT = 800

5AT + 500 = 800

5AT = 300

AT = 60

49
Q

The number of quarters is four more than twice the number of dimes. If the total is $7, how many dimes are there?

A

10D + 25(2D + 4) = 700

10D + 50D + 100 = 700

60D = 600

D = 10

50
Q

Deb can do a job alone in 6 hours. After working alone for 2 hours, she is joined by Sue who can do the job alone in 8 hours. They work together and finish the job. How many hours did Deb work?

A

d/6 + (d - 2)/8 = 1

4d/24 + (3d - 6)/24 = 1

(7d - 6)/24 = 1

7d - 6 = 24 (ADD 6 to each side)

7d = 30

d = 4 2/7

51
Q

1 foot = ___ inches

A

12

52
Q

1 yard = ___ feet

A

3

53
Q

1 mile = ____ feet

A

5,280

54
Q

1 cup = ___ ounces

A

8

55
Q

1 pint = ___ cups

A

2

56
Q

1 quart = ___ pints

A

2

57
Q

1 gallon = ___ quarts

A

4

58
Q

1 pound = ____ ounces

A

16

59
Q

1 ton = ____ pounds

A

2,000

60
Q

1 peck = ___ dry quarts

A

8

61
Q

1 bushel = ___ pecks

A

4

62
Q

1 kilogram = _____ grams

A

1,000

63
Q

1 kiloliter = _____ liters

A

1,000

64
Q

1 kilometer = ____ meters

A

1,000

65
Q

1 meter = _____ millimeters

A

1,000

66
Q

1 meter = ___ centimeters

A

100

67
Q

1 centimeter = ____ millimeters

A

10

GRE Prep (13 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions