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Mathematics 11 Review for T2 Exam
Practice Exam Name:
1 Ver. 2016-2017
Using the material from Mathematics 11, provide clear, well
organized and concise answers to the following questions. Where a
word explanation is required, ensure that you answer in complete
sentences. Place your final answers, in standard form, on the
provided line. Calculators MAY be used on the unit test.
1. 1. Given the following constraints; find the maximum and
minimum values
of f (x, y) = x + 2y y ≥ 2y ≤ x + 2−2 ≤ x ≤ 2
a. The maximum value of f (x, y) = x + 2y is _____. b. The
minimum value of f (x, y) = x + 2y is _____.
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Mathematics11 Factoring & Polynomials Unit Test
2 Ver. 2016-2017
2. Given the following: A= 2 5−3 −2 and B=
3 36 −4
a) Find A × B
b) Find B × A
c) Find A + B
d) Find 2A + B
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Mathematics11 Factoring & Polynomials Unit Test
3 Ver. 2016-2017
3. The following graph represent a function P(x)
a) Describe the end behavior of P(x) b) How many real zeros does
P(x)? c) Is P(x) an even or odd degree polynomial? Justify. What is
the sign of the leading coefficient of P(x)? Justify
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Mathematics11 Factoring & Polynomials Unit Test
4 Ver. 2016-2017
4. Solve x4 + 5x2 + 6 = 0
5. Is (x − 3) a factor of the polynomial function, f (x) = x3 +
4x2 −11x − 30 ? 6. Fully factor f (x) = x3 + 4x2 −11x − 30
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Mathematics11 Factoring & Polynomials Unit Test
5 Ver. 2016-2017
7. Consider the function f (x) = −2 25
⎛⎝⎜
⎞⎠⎟x+3
+ 5 . Without using a graphing
calculator, determine
a. What is the parent function?_____ b. Describe the
transformation.
c. the domain: _________
d. the range: _________ e. What is the the y-intercept?
______
f. equation(s) of any asymptotes of the graph of the function
_____ g. Does this function represent exponential growth or
exponential decay? Justify.
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Mathematics11 Factoring & Polynomials Unit Test
6 Ver. 2016-2017
8. 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 C(t) = 20 +
50(1.081)− t
If the optimum drinking temperature is 60°C, will the mug of tea
be at or below this temperature after 10 minutes?
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Mathematics11 Factoring & Polynomials Unit Test
7 Ver. 2016-2017
9. Solve a. 94x+2 = 81 b. 367x+1 ≤ 2163x−2
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Mathematics11 Factoring & Polynomials Unit Test
8 Ver. 2016-2017
10, Sketch the graph of f (x) = log4 x
10. If log4 5 =1.1610 , log4 3 = 0.7925 and log4 2 = 0.5 ,
evaluate the following
a. log4 225 b. log418
c. log4254
⎛⎝⎜
⎞⎠⎟
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Mathematics11 Factoring & Polynomials Unit Test
9 Ver. 2016-2017
11. Using the Laws of Logarithms, write the following
expressions as a single logarithm. a. 2log5(x −1) − log5 x b.
2log6(2x) + log6(x + 2) − log6 y c. 2log6(2x) + log6(x + 2) + log6
y 12. Solve a. log7(5x) + log7(6) = log7 40 b. 4 4 4log ( 1) log (2
3) log 8x x+ − − =
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Mathematics11 Factoring & Polynomials Unit Test
10 Ver. 2016-2017
c. 3 32log log ( 3) 3 0x x− + − = d. log2(2x − 3) > log2(x +
4) 13. Simplify a. (2x3y5 )3 b. (5x2 + 5x − 2)− (4x2 − 6x + 5) c)
(4 − 6i)+ (13+ 5i) d) 6b(2b − 3)+ 2b(b + 3) e. (3− 5i)(3+ 5i)
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Mathematics11 Factoring & Polynomials Unit Test
11 Ver. 2016-2017
14. Without solving state the number and nature of roots of 4x2
+ 6x − 36 = 0 15. Solve 4x2 + 6x − 36 = 0 16. Solve 8x−1 + 8 = 9
17. Find f ( f (−1)) ,if f (x) = 6x 18. What is i42 ?
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Mathematics11 Factoring & Polynomials Unit Test
12 Ver. 2016-2017
19. Give one example of a polynomial function. Justify why it
it’s a polynomial?
20. Given that f (x) = x5 − 3x4 − 5x2 ,find f (3) 21. If A=
a. What is the dimension of A?
b. What is the element a2,3 ?
