# GRE数学之代数重点考题

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1.On a certain number line, if-7 is a distance 4 from n and 7 is a distance of 18 from n then n=

A.25

B.11

C.3

D.-3

E.-11

2. Which of the following equations can be used to find the value of x if 7 less than 5x is 5 more the product of 3 and x?

A.5x-7=5+3x

B.5x-7=5+(3+x)

C.7-5x=5+3x

D.7-5x=(5+3)x

E.7-5x+5=3x

3.On a number line, the distance between the two points with coordinates -5 and 1 is how much less than the distance between the two points with coordinates 2 and 14?

A.6

B.8

C.10

D.12

E.16

4.The expression (4+x)(2x-3) is equivalent to which of the following?

(1)2x(x+4)-3(x+4)

(2)(x-4)(2x+3)

(3)2x2-12

A.(1) only

B. (2) only

C. (3) only

D. (2) and (3)only

E. (1),(2) and (3)

5.On the number line, 1.4 is halfway between which of the following pairs of numbers?

A.-1.4 and 2.4

B.-1 and 2

C.-0.3 and 3.1

D.0.15 and 1.55

E.0.4 and 1

6.If the sum r+s is 2 less than the difference r-s, then s=

A.-2

B.-1

C.0

D.1

E.2

7.The value of y will decrease as the value of x increases in which of the following equations?

A.y=x

B.y=x-2

C.2-y=3-x

D.2x-y=4

E.x+2y=1

8.What is the cost, in cents, of using a certain fax machine to send n pages of a report if the total cost for sending the first k pages is r cents and the cost for sending each additional page is s cents?(assume that n>k)

A.r+s(n-k)

B.r+s(n+k)

C.rs(n+k)

D.kr+s(nk)

E.kr+ns