Q1The graph below shows the feasible ... - Mathematics 11 · Grade:!11!General! Mathematics!!!"ﻧﺎﺛﻟ’()ﻠﻌﺗﻠﻟ-ﺎﺣﺗﻻ’ﺔﺳ2-ﻣ ﻲﻧﺎﺛﻟ& !ﺻﻔﻟ

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Al Ittehad School C3 T2 Final Revision Grade: 11 General Mathematics

مددررسة ااالتحادد للتعليیمم االثانوويي االثانينهھايیة االفصلل مررااجعة (عامم) االحادديي عشرراالصفف

االرريیاضيیاتت

Q1The graph below shows the feasible region of the following system of inequalities:

y ≥ –3

x ≥ –2

y ≤ 7 – 52x

If f(x, y) = 2x - 5y , find the maximum and minimum values of the function over this region .

The maximum value is …………… at (….. , …..).

The minimum value is ……..at (….. ,....).

2x - 5y

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Q2.

Q3. First:For the graph below

a. Describe the end behavior

b. Determine whether it represents an odd-degree or an even-degree function

c. State the number of real zeros.

1

2

3

4

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Second Solve the equation x4 - 4x2 - 12

Third1) Use the synthetic substitution to Show that is a factor of

.

2) find the remaining factors of the polynomial.

3) List the x-intercepts of the graph of the polynomial. (The real

zeros)

Q4: Consider the exponential function

, then answer

• Domain …………………………. Range …………………………….

• Asymptote …………………………….

• The parent function is ………………………………

• Describe the reflection of the parent function?..................................................

• Is it a growth or a decay function?..............why?................................................

• Describe the horizontal and the vertical translation

…………………………………………………………………………………………

• Find the y - intercept ………………………………………………………

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Q5. a. A mug of tea is 90°C at time t = 0. It is surrounded by air at a constant temperature of 20°C. If stirred steadily, its temperature in Celsius after t minutes will be

, if the optimum drinking temperature is 50°C. Will the mug of tea be at or below this temperature after 12 minutes?

b. Solve the exponential equation

c.Graph the function

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Q6.1) Use log3 28 ≈ 3.0331 and log3 4 ≈ 1.2619 to approximate the value of each expression. (Show your work)

2)Write this expression as a single logarithm. 2 log2 x + log2 3 - log2 27

3) Solve the logarithmic inequality

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Q7.Simplify. Assume that no variable equals 0.

1)

2) =

3)

4)

5)

6)

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Q8. First :Consider the quadratic equation

1) Find the value of the discriminant.

2) Describe the number and type of roots.

Second From a height of 256 feet above a lake on a cliff, Mikaela throws a rock out over the lake. The height H of the rock t seconds after Mikaela throws it is represented by the equation H =16t2 - 32t - 256. To the nearest tenth of a second, how long does it take the rock to reach the lake below?

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Q9. For questions 1 – 10, choose the correct answer and circle it:

1) The solution of the equation is :

2) If then is equal to :

a) -4 b) -2 c) 2 d) 4

3) The value of is

a) b) c) d) 1 4) What is the leading coefficient of the polynomial

a) b) c) 0 d) 1

5) Which of the following is a polynomial in one variable?

6) If . then =

a) 0 b) -4 c) d) 1

a)

b) c)

d)

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-5

7) What are the dimensions of matrix A if

A =

8) Identify the element for the matrix

9) Simplify

a) b) c) d)

10) Find the dimensions of = C.....×…..

6 6 1 1 1

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Q1The graph below shows the feasible ... - Mathematics 11 · Grade:!11!General! Mathematics!!!"ﻧﺎﺛﻟ’()ﻠﻌﺗﻠﻟ-ﺎﺣﺗﻻ’ﺔﺳ2-ﻣ ﻲﻧﺎﺛﻟ& !ﺻﻔﻟ