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MATH10-3/A48
Deadline of Submission: 9:15AM (Late papers will not be accepted.) September 22, 2015
(TUESDAY @NW403)
Use: Small Test Booklet (without lines)
Instructions: Same rules apply. Write and box your final answers using BLUE ballpen. The
following questions are worth 10pts each.
𝑥𝑦 −1

4

1. Simplify: ( −2 3 )
𝑥 𝑦

÷(

𝑥 2 𝑦−2
𝑥 −3 𝑦 3

3

)

2. Simplify the following expression:
5𝑥
𝑥+3
2𝑥 + 1

+
2𝑥 2 + 7𝑥 + 3 2𝑥 2 − 3𝑥 − 2 𝑥 2 + 𝑥 − 6
3. In the equation 3𝑥 2 + 4𝑥 + (2𝑘 − 5) = 0, find k if the product of the roots is 4.
4. In a two-digit number, the unit’s digit is 3 greater than the ten’s digit. Find the number if it is 4
times as large as the sum of its digits.
5. Find two consecutive even integers such that the square of the larger is 44 greater than the
square of the smaller integer.
6. A class of 40 took examination in Algebra and Trigonometry. If 30 passed Algebra, 36 passed
Trigonometry, and 2 failed in both subjects, find the number of students who passed the two
subjects.
7. Solve the linear inequality:

8. Solve the inequality:

2 2𝑥 − 3 1

>
3
12
6
|𝑥 + 5| ≥ 2

9. Two thousand (2000) kg of steel containing 8% nickel is to be made by mixing a steel
containing 14% nickel with another containing 6% nickel. How much of each is needed?

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