For 15 years-old young
1st Bimester - NUMBERS
- Achieve the intersection between the interval A={x�R/-1�x< 3} and B={x�R/0< x�3}.
- Solve the modular unequality: |x/2-3|< 4.
- Find any rational number between the real numbers 3/2 and p/2.
- Using the Pithagoric Theorem, attain the diagonal of the square with side 1.
- Verify, justifying, if T={(-1, 2), (0, 4), (1, 4)} is a function from A={-1, 0, 1, 2} to B={0, 2, 4}.
2nd Bimester - FUNCTIONS
- Get the domain of the function y=3x/(3-5x).
- Obtain the prime grade function which contain the points (-2, 3) and (1, 5) and calculate the intercept f(0).
- Solve the unequality-product (-2x-3)(x-2)�0.
- For the quadratic function f(x)=x2+3x-8, obtain (a) the coordinates of the vertex, (b) the roots and (c) the image-set.
- Plot the absolute function f(x)=|2x+1|-2.
3rd Bimester - LOGARITHMS
- Solve the exponential equation 43x-2=(1/2)1-x.
- Solve the unequality: 3.32x-4.3x+1�0.
- By definition, calculate log8�2.
- Knowing log2.34�.369, obtain log(2.34�10-3).
- Solve the logarithmic equation: 2log3(2x-5)=log3(3x-3).
4th Bimester - TRIGONOMETRY
- Transform in radians the arc of 420�.
- Get the general expression of the arc which measures 27p/4.
- Achieve sin1320�.
- Obtain cos26p/3.
- Solve, in the set of the real numbers, the trigonometric equation:
2cos2x+cosx-1=0.
Click for Answers
Value of each question: 2.0
Ranking: 0 - 1.9: bad; 2.0 - 4.4: slow; 4.5 - 6.4: mean; 6.5 - 8.9: prepared; 9.0 - 10.0: scientist.
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