# Math Examples

## The Basic Algebra Test

Please review before Orientation

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.

Problem | Result | Answer |
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1. Solve the equation 13(3c-9) = 9c-6. |
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2. Completely factor 14x^{2} - 49x - 28. |
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3. Solve the equation and express the radicals in simplest form: 2m^{2} +10m +7 = 0. |
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4. Find the slope of the line going through the points (5, -7) and (-9, 3). |
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5. Perform the indicated operation: (-8 + 4n^{5} - 2n^{4}) + (4n^{5} - 8n^{4} - 8). |
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6. Find the quotient and write it in lowest terms: 3/7 ÷ 1 2/3. |
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7. Find the intercepts for the equation: x + y = -4 |
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8. Simplify the expression: 2^{8} ∙ 2^{4}. |
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9. Find the product: (9p - 1) ( 81p^{2} + 9p + 1). |
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10. Solve by the substitution method:8x + 4y = 32 x + 5y = -5 |
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## The Functions and Graphs Test

Please review before Orientation

The Functions and Graphs Test is used to determine if certain courses in astronomy, chemistry, computer science, engineering, mathematics, and physics can be taken without additional work in mathematics. Any student who thinks they might major in any of these areas, or might major in any area that requires courses from those areas, or who plans on taking MATH 128 - 129 Calculus with Analytical Geometry for any reason, should take this exam. The questions are multiple choice and the topics covered include polynomial, rational, exponential, logarithmic, and trigonometric functions, their graphs and elementary properties. Below are three 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.

Problem | Result | Answer |
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1. Suppose the sin θ = 4/5 and π/2 ≤ θ ≤ 3π/2. Find cos θ. |
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2. Simplify log (t / (t + 1)), where you may assume t > 0. |
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3. Let f (x) = x^{2} and simplify the expression [f (2 + h) - f (2)]/ h. |
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