Algebra

1. Simplify (4x - 3) - (x + 7)

2. Multiply (3x - 1)²

3. Factor completely y² + y - 12

4. Solve 6x² = 5x + 6

5. Two numbers are in the ratio of 5:4 and their total is 558. What are the numbers?

6. If two legs of a right triangle are 12 in. and 5 in., then how long is the hypotenuse?

7. If x and y are whole numbers, let's define * to be x * y = x + y / 2. Is the set of whole numbers closed under *?

8. Solve for x: Ix + 4I < 5 __________

9. Village A currently has a population of 6,800, and its population is decreasing at a steady rate of 120 persons per year. Village B currently has a population of 4,200, and its population is increasing at a steady rate of 80 persons per year. After how many years will the two populations be the same?

10. If V = lwh, what is the value of V when l = 2, w = 3, and h = 4x?

A. 9x
B. 24x
C. 5 + 4x
D. 6 + 4x