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代数活动课课前小测
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写在课前：满分是一步步落笔算出来的，答案不是用眼睛看出来的！
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1. x ≠ 0
Quantity A
Quantity B
X^2
x(x + 5)
（）.
A. A大
B. B大
C. 一样大
D. 无法确定
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2. What is the sum of all possible solutions to the equation:√(2x^2-x-9 ) = x + 1.（）.
A. -2
B. 2
C. 3
D. 5
E. 6
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3. The equationsx^2- 2x − 35 = 0 and (x + m)(x − n) = 0 have the same solutions.
Quantity A
Quantity B
m
n
（）
A. A大
B. B大
C. 一样大
D. 无法确定
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4. (2x+1)^2−(2x-1)^2 = （）
A. 2
B. 8x
C. 4x-1
D. 4x+1
E. 8x+2
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5.
Quantity A
Quantity B
w+d
c+z
（）
A. A大
B. B大
C. 一样大
D. 无法确定
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6. Which of the following is an equation of a line that does NOT contain any points in the xy-plane for which both coordinates are integers?（）
A. y=4
B. y=1/2x
C. y=x+3
D. y=x+1/2
E. y=1/2x +3
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7. If x is 4 more than half of y and if y is 10 more than half of x, what is the value of x?（）
A. 6
B. 8
C. 12
D. 14
E. None of the above
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8. Line l passes through points in both quadrants II and III. Which of the following statements are true? Indicate all such statements.（）
【多选题】
A. Line l cannot pass through the origin.
B. Line l cannot pass through any point in quadrant I.
C. Line l cannot pass through any point in quadrant IV.
D. The slope of line l cannot be 0.
E. The slope of line l cannot be positive.
F. The slope of line l cannot be negative.
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9.For all real numbers v, the operation is defined by the equation = v –v/3. If （v*）* = 8, then v =（）
A. 15
B. 18
C. 21
D. 24
E. 27
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10. In the xy-plane, the point (c, c) lies on the graph of the equation 0.3x + 0.3y =12（）
Quantity A
Quantity B
The value of c
20
A. A大
B. B大
C. 一样大
D. 无法确定
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