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Sample Practice Test Questions
Convert x-3 to remove the negative exponent.
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Connected gears of different numbers of teeth are used together to change which of the following charasteristics of the input force?
torque
Connected gears of different numbers of teeth are used together to change the rotational speed and torque of the input force. If the smaller gear drives the larger gear, the speed of rotation will be reduced and the torque will increase. If the larger gear drives the smaller gear, the speed of rotation will increase and the torque will be reduced.
What is 7\( \sqrt{4} \) x 6\( \sqrt{4} \)?
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{4} \) x 6\( \sqrt{4} \)
(7 x 6)\( \sqrt{4 \times 4} \)
42\( \sqrt{16} \)
Now we need to simplify the radical:
42\( \sqrt{16} \)
42\( \sqrt{4^2} \)
(42)(4)
168
A tiger in a zoo has consumed 143 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 195 pounds?
If the tiger has consumed 143 pounds of food in 11 days that's \( \frac{143}{11} \) = 13 pounds of food per day. The tiger needs to consume 195 - 143 = 52 more pounds of food to reach 195 pounds total. At 13 pounds of food per day that's \( \frac{52}{13} \) = 4 more days.
pH is a scale that measures of how basic or acidic a solution is. A solution with a pH of 4 is:
acidic
An acid is a substance that gives up positively charged hydrogen ions (H+) when dissolved in water. A base (alkaline) gives up negatively charged hydroxide ions (OH-) when dissolved in water. pH is a scale that measures of how basic or acidic a solution is. Numbered from 0 to 14, solutions with a pH of 7 are neutral, less than 7 are acidic, more than 7 are alkaline.
As part of digestion, the liver produces bile which breaks down:
fat
The liver produces bile which emulsifies (separates) fat.
Simplify 7a x 6b.
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
7a x 6b = (7 x 6) (a x b) = 42ab
A __________ is driven by a motor and used to shape and form edge contours.
router
A router is a tool that a worker uses to rout (hollow out), shape, or contour an area in relatively hard material like wood or plastic.
Connecting the 8 batteries in series multiplies their voltage while keeping their current the same yielding a 72V 15A configuration. Connecting the 8 batteries in parallel multiplies their current while keeping their voltage the same yieleding a 9V 120A configuration. Using a series-parallel connection, 4 batteries can be connected in series and 4 can be connected in parallel resulting in a 36V 60A configuration.
Which of the following describes the Earth's outer core?
liquid
The Earth's core is divided into the liquid outer core (1,430 miles or 2,300 km radius) and the solid inner core (745 miles or 1,200 km radius).