Intermediate Algebra Problems

Q1. Solve the following expression-

 5(B-4) = 10

Q2. Solve the following equation for the variable L.

P = 2L + 2w

Q3. Complete the following table for the equation y = x-3

                                                                                                   X                 y

                                                                                                 -1

                                                                                                  0

                                                                                                  4

Q4. Find the slope-intercept equation of the line passing through (1,2) with a slope of m=3.

Q5. Draw the graph of the following linear function and give the domain and range.

F(x) = -1/2 X +5

Q6. Solve the following equation

IxI = 3

Q7. Give the inequality whose graph is shown below.

Q8. Evaluate the following expression when x=3 and y = 2

2xy – x²y

Q9. Completely factor the following expression.

16x⁴ – 81y⁴

Q10. Perform the following division.

(y² + 10y + 21) / (y + 7)

Q11. Solve the inequality below and write the solutions in interval notation.

I2m + 3I < 13

Q12. Write the numeral 0.0685 in scientific notation.

Q13. Given f (x) =  -6x-1, find f(2).

Q14. Write the equation of the line with a slope of 2 and passing through the point (-5,3).

Q15. Simplify the following expression completely:

(ab^-3 /3a^-2b²)²

Q16. Solve the system of equations given below.

X = 3z = 12

-x -2y + z = 10

3x + 5y +2z = -7

Q17. Do the following two lines intersect? Answer yes or no, together with the point of intersection, if any.

5x + 8y = -5

-x – 1.6y = 14

Q18. Compute the determinant.

4   0   -1

3   6   -2

-2  5     1

Q19. Compute the distance between the two points

Q20. Rationalize the denominator of

Q21. At what x values does the parabola y = x² – 5x + 4 intersect the x axis?

Q22. The surface area (A) of a sphere with radius ® is given by A = 4  r^2. Solve this formula for r.