中國數學的難度相比較于美國難很多，所以在SAT沒改革前，SAT數學滿分考生比比皆是。進入新SAT時代后，從新SAT考試成績的數據統計中不難發現能到800分的考生是非常罕見的，780分以上的也是寥寥無幾，大部分都集中在700—750之間。今天小編整理了一些SAT數學基礎代數：線性方程練習。

  練習：

  |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：直線經過(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的年齡會是L的兩倍.現在J的年齡是多少?

  解析：設J現在為x歲然后根據給出的兩個關系列式，即可得到x的表達式.

  5. 題干：如果

  下面哪個不是解?

  解析：注意不等式的方向即可.

  9. 題干：兩個人一開始的錢一樣多，后來第一個人給了第二個人15000，然后第二個人的前變成了第一個的兩倍.問一開始第二個人有多少錢?

  解析：借助方程求解.設一開始為x.x+15000是x-15000的兩倍.

  10. 題干：8x + y = 36 = 2y + 4x，x+y=?

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

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