WolframAlpha Examples

Can you use WolframAlpha to answer the following questions?
If you need to check the syntax then check the slideshows which illustrate many examples.
Use this file if you want to print out the questions: WolframAlpha Questions

Slideshow 1

1. -8 + -2
2. -7 × -6
3. 6/7 − 3/5
4. Change 67% to a decimal and a fraction
5. Find all the factors of 24
6. Find the highest common factor of 18 and 24
7. Find the lowest common multiple of 12 and 16
8. Find the mode of this data set: 6, 7, 8, 8, 9, 9, 8, 7, 2, 3, 6
9. Find the median of the data set: 6, 7, 8, 8, 9, 9, 8, 7, 2, 3, 6
10. Find the mean of the data set: 6, 7, 8, 8, 9, 9, 8, 7, 2, 3, 6
11. Simplify 6a − 3b + a − 2b
12. Expand 5(2x − 8y)
13. Solve the equation 6x − 4 = 57
14. Find the nth term and the next few terms of this sequence: 7, 11, 15, 19, 23, 27 …..  (enter the sequence and scroll down)
15. Plot the graph of y = 5x − 1
16. Plot the graph of y = 5x −  1 for values of x from -5 to 5
17. Reflect the point (2,3) in the line y = 5
18. Rotate the point  (1,2) 90 degrees about the point (0,0)
19. Find the surface area of a cuboid with dimensions 4cm by 5cm by 3cm
20. Find the volume of the same cuboid

Slideshow 2

1. Solve the equation 5x−1=3x+2
2. Solve the inequality 6x−1 > 7
3. Solve the inequality 3x + 7 ≤ 8
4. x = w+2y, make y the subject of this formula
5. A = πr², make r the subject of this formula (you can enter pi for π)
6. Find the value of  b²+c²  when b = -1 and c = 2
7. Solve the simultaneous equations 3x+2y=10 and 2x-1=4
8. Factorise 4ab²+8a²b 
9. Factorise x² – 7x + 12
10. Find the interior angle of a regular octagon
11. Find the area of a circle of  radius 7cm
12. Change 42000000 to standard form
13. Change 5cm to m
14. Change 4m² to cm²
15. Say ‘thank you’ to WolframAlpha! (see Slideshow 7)

Slideshow 3

1. Find the intercept for the line y = x+3
2. Find the intercept for the line 3x+4y=24
3. Find the gradient (slope) of the line y = 2x–6
4. Find the gradient of the line 3y+5x=10
5. Find the midpoint of (1,2) and 5,8)
6. Plot the graph of the cubic function y = x³+2x²–8x+1
7. Plot the graph of the reciprocal function y = 5/x
8. Plot the graph of the power function y = 3^x
9. Factorise 2x² +3x+1
10. Complete the square for the expression x²–8x–3
11. Find the minimum value of the expression x²–8x–3
12. Solve the quadratic equation 2x²+3x+1=0
13. Solve the simultaneous equations y=2x²+3x+1 and x+y = 5
14. Simplify x/2 + y/3
15. Simplify ab²/a²b

A Level students (age 16-18) should study slideshow 4 and experiment with the examples given.
Slideshow 5 is on Differential Equations, Slideshow 6 is on Set Theory and Logic

…..and Slideshow 7 – a few of the sillier questions you can ask WolframAlpha!