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1. Which of the following mathematical sentences has an inequality symbol "less than or equal to"?
A. 2x² 2(x - 3)
B. 7x² + 29x - 30 ≥ 0
C. x² - 9x + 18 > 2(x - 3)
D. x² - x - 4 ≤ 0
2. In the quadratic inequality 5x² + 8x - 21 ≥ 0,which is the quadratic term?
A. x² B. - 21 C. 8x D. 5x²
3. The area of a rectangle is greater than 20 squares inches. The length is 4 more than three times the width. What is the quadratic inequality of the problem?
A. 3w² + 4w > 20 B. w² + 4w > 20 C. 4w² + 3w > 20 D. 4w2 + 4w > 20
4. What is f(x) = 3(x + 2)² + 2 when written in the form f(x) = ax² + bx + c?
A. f(x) = -3x2 - 12x - 14 C. f(x) = 3x2 + 12x + 14
B. f(x) = -3x2 + 12x + 14 D. f(x) = 3x2 + 12x - 14
5. If f(x) = 36 - x², what is f(4)?
A. 14 B. 19 C. 17 D. 20
6. What are the dimensions of a rectangular index card if its length is 3cm more than twice the width? The area is 27cm². Which of the following functions represents the given problem?
A. f(w) = 2w² + 3w - 27
B. f(w) = 2w² - 3w - 27
C. f(w) = 2w² - 3w + 27
D. f(w) = 2w² + 3w + 27
7. The following are the characteristics of the quadratic inequalities, except:
A. It is a first-degree equation.
B. It contains a polynomial of degree 2.
C. There should be an inequality symbol in the mathematical sentence.
D. The numerical coefficient of the first term x2 should not be equal to zero.
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