Assignment

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

8. Completely factor the following expression: 16x⁴ - 81y⁴

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

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

11. Write the numeral 0.0685 in scientific notation

12. Given f(x) = -6x - 1, find f(2)  

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

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

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

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

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