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Sample Practice Test Questions
Which of the following can conduct electricity under some conditions but not others?
semiconductor
Semiconductors have valence shells that are exacly half full and can conduct electricity under some conditions but not others. This property makes them useful for the control of electrical current.
Carbohydrates are found in:
sugars and starches
Carbohydrates are major sources of energy for the body and are found in sugars (fruit, cane sugar, beets) and starches (bread, rice, potatoes, pasta).
Heat is always transferred from __________ to __________ environments.
warmer, cooler
Heat is always transferred from warmer to cooler environments and conduction is the simplest way this transfer can occur. It is accomplished through direct contact between materials and materials like metals that transfer heat efficiently are called conductors while those that conduct heat poorly, such as plastic, are called insulators.
What is the potential difference in an electrical circuit a measure of?
the voltage at a specific location in the circuit
Electrons flow from an area of high concentration to an area of low concentration. A high voltage indicates a high concentration of electrons that creates a greater potential for electron flow than a low voltage. When applied to a load, voltage creates electricity and potential difference is the measure of voltage at a specific location in an electrical circuit.
What is -z2 + 5z2?
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-1z2 + 5z2
(-1 + 5)z2
4z2
Breaking apart a quadratic expression into a pair of binomials is called:
factoring
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
What is \( \frac{4}{6} \) + \( \frac{4}{14} \)?
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 7}{6 x 7} \) + \( \frac{4 x 3}{14 x 3} \)
\( \frac{28}{42} \) + \( \frac{12}{42} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{28 + 12}{42} \) = \( \frac{40}{42} \) = \(\frac{20}{21}\)