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A+ Work

1. Solve the expression: 5(B – 4) = 10 .

 

2. Solve the following equation for the variable L :  p = 2L + 2w

3. Complete the following table for the equation y = x – 3

4. Find the slope-intercept equation of the line passing through (1,2) with a slope of m = 3?

5. Draw the graph of the following linear function and give the domain and range: f(x) = – ½x+5

6. Solve the following equation: | x | = 3

7. Give the inequality whose graph is shown below.

8. Evaluate the following expression when x = 3 and y = 2: 2xy – x² y

9. Completely factor the following expression: 16x4 – 81y4

10. Perform the following division: (y² + 10y + 21) ÷ (y + 7)

11. Solve the inequality below and write the solutions in interval notation: |2m + 3| < 13

12. Write the numeral 0.0685 in scientific notation

13. Given f(x) = -6x – 1, find f(2)  

14. Write the equation of the line with a slope of 2 and passing through the point (-5, 3)

15. Simplify the following expression completely:  

16. Solve the system of equations given below :

17. Do the following lines intersect? Yes or no, together with the point of intersection, if any exists.

18. Compute the determinant :

19.  Compute the distance between the two points (1 – √2 , -1)  and (2 + √2, 4)

20. Rationalize the denominator of      

21.  At what x values does the parabola y = x² – 5x +4 intersect at the x axis?

22.  The surface area (A) of a sphere with radius (r) is given by A = 4πr².  Solve this formula for r.  

 

 

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University of Nairobi