Electrical Engineering Orientation/Algebra and Precalculus

Wikiversity Electrical & Electrical Engineering Schools The Lessons in ELECTRICAL/ELECTRONIC ENGINEERING ORIENTATION

Important Notes & Instructions on Answering the questions This Aptitude test is on Algebra and Pre-Calculus. Select the most correct answer of the four possible answers to each question. Use of calculator allowed. Perhaps it would help you to workout all your answers on a piece of paper, then attempt the questionaire.

Lessons in Electric Engineering Orientation Lesson #1: Introduction to Electrical Engineering Lesson #2: Introduction to Electronic Engineering Quiz Test 1: Algebra and pre-calculus Quiz Test 2: Geometry and data representation Quiz Test 3: Physics Science laws Quiz Test 4: chemical Science Processes Entrance Courses: Introduction to Engineering Math- MATH 090 comming soon!

Mathematics Aptitude test2: Questionaire 1 If $f(x)$ is a polynomial of the third degree of x and $f(a)=0$, then ... (A) $f(x)=0$. (B) a is a root of $f(x)$. (C) a is negative. (D) a is positive. 2 In the following equation $f(x)=a{x}^2+bx+c$, $4$ is called a discriminant. If $4\ge 0$ then ... (A) Roots are real and equal. (B) Roots are real and unequal. (C) Roots are real. (D) None of the above. 3 Which of the following graphs represents $f(x)=x^2-4$ ? (A) (B) (C) (D) 4 By exponential laws the following expression $2^{x-2}{3}^{x-2}$ can be simplified to which of the following expressions? (A) $\frac{2^x}{2^2}.$$\frac{3^x}{3^2}$$=\frac{(2\times 3{)}^x}{(2\times 3{)}^2}$ (B) $2^x.3^x+2^2.3^2=$$(2\times 3{)}^x+(2\times 3{)}^4$ (C) $\frac{2^{x-2}}{3^{x+2}}=2^{x-2}-3^{x+2}$ (D) None of the above. 5 $x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ is generally known as ... (A) Phythagorus theorem. (B) Quadratic formula. (C) Trigonometric Identity. (D) Gas equation. 6 The 1st term of an arithmetic sequence is 2 and the 15th term is 32. what is the middle term? (A) $\frac{2+32}{15}=2.267$ (B) 12 (C) $\frac{2+32}{2}=17$ (D) None of the above 7 The first derivative of the function $f(x)=6x^2-3x-1$ is ... (A) $\frac{df}{dx}=12x-3$ (B) $\frac{d^{2}f}{d{x}^2}=12x$ (C) $\frac{d^{2}f}{d{x}^2}=0$ (D) $f(x)=6x^2-3x$ 8 What is a local maximum of the following polynomial $A=2t^3-3t^2+t$ is ... (A) 3 (B) 1 (C) 6 (D) $\frac{1}{3}$ (E) None of the above 9 Which of the following diagrams is the correct sketch representation of the following constraints: $15x+6y\le 3000$ $5x+4y\le 1300$ $x+2y\le 500$ ... ... (A) (B) (C) (D) 10 If the profit made made from selling X and Y is $P=200x+5000y$ then using feasible region selected from Q9 the maximum profit will be ... (A) $P=200(150)+5000(150)$. (B) $P=200(200)+5000(200)$. (C) $P=200(160)+5000(325)$. (D) None of the above.

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