Free Printable GRE Quant Algebra

1.

2x + 12 > 2 – 3x

Which values of x below satisfy this inequality?

Indicate all such values.

a)

-3

b)

-1

c)

1

d)

3

e)

5

2.

If A < 0, 10 < B < 30, and 50 < C < 80,

what is the relative order of the reciprocals   $\frac{1}{A}$  ,   $\frac{1}{B}$   , and   $\frac{1}{C}$   ?

a)

$\frac{1}{A}<\frac{1}{B}<\frac{1}{C}$

b)

$\frac{1}{A}<\frac{1}{C}<\frac{1}{B}$

c)

$\frac{1}{C}<\frac{1}{A}<\frac{1}{B}$

d)

$\frac{1}{C}<\frac{1}{B}<\frac{1}{A}$

e)

$\frac{1}{B}<\frac{1}{C}<\frac{1}{A}$

3.

If 4x - 3y = 13 and 5x + 2y = -1, then x =

a)

-3

b)

-1

c)

1

d)

3

e)

5

4.

If y - 3x > 12 and x - y > 38, which of the following are possible values of x?

Indicate all such values.

a)

-60

b)

-30

c)

16

d)

40

e)

60

5.

a)

The quantity in Column A is greater

b)

The quantity in Column B is greater

c)

The two quantities are equal

d)

The relationship cannot be determined from the information given

6.

a)

The quantity in Column A is greater

b)

The quantity in Column B is greater

c)

The two quantities are equal

d)

The relationship cannot be determined from the information given

7.

A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy?

a)

9

b)

10

c)

11

d)

12

e)

20

8.

A certain shipping service charges an insurance fee of $0.75 when shipping any package with contents worth $25.00 or less and an insurance fee of $1.00 when shipping any package with contents worth over $25.00. If Dan uses the shipping company to ship three packages with contents worth $18.25, $25.00, and $127.50, respectively, what is the total insurance fee that the company charges Dan to ship the three packages?

a)

$1.75

b)

$2.25

c)

$2.50

d)

$2.75

e)

$3.00

9.

a)

The quantity in Column A is greater

b)

The quantity in Column B is greater

c)

The two quantities are equal

d)

The relationship cannot be determined from the information given

10.

a)

The quantity in Column A is greater

b)

The quantity in Column B is greater

c)

The two quantities are equal

d)

The relationship cannot be determined from the information given

11.

a)

y = x + 2

b)

y = x + 3

c)

x = y + 3

d)

y = 1,000x

e)

x = 1,000y

12.

A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver, and white cars. During the next month, 70 percent of the black cars, 80 percent of the blue cars, 30 percent of the silver cars, and 40 percent of the white cars were sold. What percent of the cars in the shipment were sold during that month?

a)

36%

b)

50%

c)

55%

d)

60%

e)

72%

13.

If an investment of P dollars is made today and the value of the investment doubles every 7 years, what will be the value of the investment, in dollars, 28 years from today?

a)

$8p^4$

b)

$p^4$

c)

16P

d)

8P

e)

4P

14.

a)

The price of the book was less than $9.50

b)

The price of the book was greater than $6.90

c)

The sales tax was less than $0.45

15.

a)