# Math Examples

## The Basic Algebra Test

The Basic Algebra Test is designed to determine if you meet the College's competency requirements in basic algebra. Every student must take this exam. In order to graduate, you must either pass this exam or successfully complete MATH 100.

Since several other college courses have basic algebra as a prerequisite, your progress may be delayed in several areas if you do not fulfill this requirement quickly. Please take this exam seriously.

The questions are multiple choice and the topics covered include decimals, fractions, the real number line, factoring, inequalities, solutions to linear and quadratic equations, graphs of linear and quadratic equations, and expressions with rational exponents.

Below are ten sample questions so that you may judge the level of difficulty of typical problems. The solutions can be viewed by clicking "Show Me The Answers". Remember NO CALCULATORS of any kind are allowed during this exam.

1. Solve the equation 13(3c-9) = 9c-6.
2. Completely factor 14x2 - 49x - 28.
3. Solve the equation and express the radicals in simplest form: 2m2 +10m +7 = 0.
4. Find the slope of the line going through the points (5, -7) and (-9, 3).
5. Perform the indicated operation: (-8 + 4n5 - 2n4) + (4n5 - 8n4 - 8).
6. Find the quotient and write it in lowest terms: 3/7 ÷ 1 2/3.
7. Find the intercepts for the equation: x + y = -4
8. Simplify the expression: 28 ∙ 24.
9. Find the product: (9p - 1) ( 81p2 + 9p + 1).
10. Solve by the substitution method:
8x + 4y = 32
x + 5y = -5