Algebra Exam

MA 104 Final Examination

1. Simplify the algebraic expression.

7(3x + 6) – 5 =

2. Add the polynomials.

(12y - 6) + (-7y + 5) =

3. Subtract the polynomials.

(3x + 15) - (-18x + 12) =

4. Solve the equation.

4(2z – 3) = 7(z + 4)

5. Solve. If the cost, y, for manufacturing x units of a certain product is given by

150020x- 2

xy  , find the cost of manufacturing 80 units.

6. Solve the formula for the specified variable.

bh 2

1 A  for b

7. Evaluate the polynomial for the given values of x and y.

2x + 5y - 6; x = 2 and y = 3

8. Graph the linear equation in two variables.

y = 2x

9. Simplify. -5(2w – 7) – 3(4w – 6)

10. Solve. 9a – 5 = 8a + 2.

11. Solve. 8.21x = 3.9(4.4x – 2.7) Round your result to two decimal places.

12. Solve. 9(3x + 2) – (4x – 6) = x.

13. Solve.

14. A person plans to enclose a rectangular garden with fencing. If the width of the garden is 8

feet, and if 52 feet of fencing is required to enclose the garden, what is the length of the garden?

15. Find the x-intercept and y-intercept of the equation 6x – 3y = 18.

16. Find the equation of the line that has the slope and passes through the point

(6,-1).

17. Find an equation of the line passing through the points (-4, 6) and (2, 3).

18. Solve the inequality.

x + 4 ≥ x – 3

19. Solve the inequality.

3(2x + 1) ≤ 4(x + 2) – 1

20. Solve the inequality.