中國(guó)數(shù)學(xué)的難度相比較于美國(guó)難很多，所以在SAT沒(méi)改革前，SAT數(shù)學(xué)滿分考生比比皆是。進(jìn)入新SAT時(shí)代后，從新SAT考試成績(jī)的數(shù)據(jù)統(tǒng)計(jì)中不難發(fā)現(xiàn)能到800分的考生是非常罕見的，780分以上的也是寥寥無(wú)幾，大部分都集中在700—750之間。今天小編整理了一些SAT數(shù)學(xué)基礎(chǔ)代數(shù)：線性方程練習(xí)。

  練習(xí)：

  |x – 3| ≤ 5

  1. Which of the following inequalities is equivalent to the absolute value inequality above?

  (A) –2 ≤ x ≤ 8

  (B) –8 ≤ x ≤ 2

  (C) x ≤ –2 or x ≥ 8

  (D) x ≤ –8 or x ≥ 2

  2. Which of the following equations could represent the linear equation above?

  (A) y = –2x – 1

  (B) y = –2x + 1

  (C) y = 2x – 1

  (D) y = 2x + 1

  3. If f(x) is a linear function that passes through the points (4, 3) and (-4, -9), what is the y-intercept of f(x)?

  (A) (0, 2)

  (B) (2, 0)

  (C) (0, -3)

  (D) (-3, 0)

  4. Joel is a years older than Luca. In b years, Joel will be twice as old as Luca. What is Joel’s present age, in terms of a and b?

  (A) –2(a – b)

  (B) –2a – b

  (C) 2a – b

  (D) a – b

  5. In the system of linear equations shown, a is a constant. If the system has no solution, what is the value of a?

  A. 2

  B. 3

  C. 4

  D. 5

  6. What is the slope of the function in the graph above?

  (A) 2

  (B)3/2

  (C)2/3

  (D)1/2

  7. If k is a rational number such that k > 1, which of the following could be the graph of the equation y = key + ox + x + 5?

  8. The figure above shows the solution set for the system

  . Which of the following is not a solution to the system?

  A) (0, 3)

  B) (1, 2)

  C) (2, 4)

  D) (3, 3)

  9. Sophie and Jazmin have the same amount of money to invest in the stock market. If Sophie lends $15,000 to Jazmin, Jazmin has twice as much money as Sophie. How much money did Jazmin have originally?

  (A) $10,000

  (B) $30,000

  (C) $45,000

  (D) $60,000

  8x + y = 36 = 2y + 4x

  10. In the above equation, what is the value of x + y?

  (A) 3

  (B) 10

  (C) 12

  (D) 15

  解析：

  1. 題干：|x – 3| ≤ 5等價(jià)于什么?

  解析：可以理解為x到3的距離等于小于5.

  2. 題干：如何表示下圖的直線?

  解析：找出斜率和截距即可.

  3. 題干：直線經(jīng)過(guò)(4, 3) 和 (-4, -9)，那么y軸截距是多少?

  解析：求出直線，然后得到截距.

  4. 題干：J比L大a歲，b年后，J的年齡會(huì)是L的兩倍.現(xiàn)在J的年齡是多少?

  解析：設(shè)J現(xiàn)在為x歲然后根據(jù)給出的兩個(gè)關(guān)系列式，即可得到x的表達(dá)式.

  5. 題干：如果

  下面哪個(gè)不是解?

  解析：注意不等式的方向即可.

  9. 題干：兩個(gè)人一開始的錢一樣多，后來(lái)第一個(gè)人給了第二個(gè)人15000，然后第二個(gè)人的前變成了第一個(gè)的兩倍.問(wèn)一開始第二個(gè)人有多少錢?

  解析：借助方程求解.設(shè)一開始為x.x+15000是x-15000的兩倍.

  10. 題干：8x + y = 36 = 2y + 4x，x+y=?

  解析：兩個(gè)方程，兩個(gè)未知數(shù).因此可以求出所有的未知數(shù).具體即，寫成方程組形式，第二個(gè)方程乘以4，和第一個(gè)相減即可消掉y，求出x.反代回式子，即可求出y.

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