ELEMENTARY ALGEBRA

This test measures your knowledge of elementary algebraic concepts and your ability to solve basic algebra problems. You may be asked to:

• add, subtract, multiply and divide integers and rational numbers, absolute values

• add, subtract, multiply and divide algebraic expressions; evaluate formulas and expressions; factor polynomials, and simplify roots and algebraic fractions

• solve equations, inequalities, and word problems; solve systems of linear equation inequalities; solve quadratic equations; translate written phrases into algebraic expressions or equations; graph linear equations

DIRECTIONS: Solve the following problems and choose your answer from the alternatives given.

1. If a number is divided by 4 and then 3 is subtracted, the result is 5. Write an equation to solve this problem.
   
   (a)
   (b)
   (c)
   (d)

2. Of the following, which is a factor of 2x² + 7x -15:
   
   (a) 2x + 3
   (b) x - 5
   (c) x - 3
   (d) 2x - 3

3. If x² - x - 6 = 0, then x is:
   
   (a) -2 or 3
   (b) -1 or 6
   (c) 1 or -6
   (d) 2 or -3

4. Simplify 3(2x² - 5x) - (5x² + 3x - 12) - 2(4x + 8):
   
   (a) x² - 10x - 4
   (b) x² - 26x - 4
   (c) x² - 20x - 20
   (d) 11x² - 20x + 36

5. If x = -3, then -x² - 7x =
   
   (a) 12
   (b) 30
   (c) -30
   (d) -12

6. If 2x = 11 - 7x, then x =
   
   (a)
   (b)
   (c)
   (d)

7. Simplify
   (a)
   (b)
   (c)
   (d)