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Sample Practice Test Questions
The endpoints of this line segment are at (-2, 2) and (2, -6). What is the slope-intercept equation for this line?
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 2) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x - 2
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.
All surface water is part of the:
hydrosphere
The biosphere is the global ecological system integrating all living beings and their relationships. This includes their interactions with the lithosphere (the rigid outer part of the earth, consisting of the crust and upper mantle), hydrosphere (all surface water), and atmosphere (the envelope of gases surrounding the planet).
Herbivores are __________ that subsist on producers like plants and fungus.
primary consumers
Primary consumers (herbivores) subsist on producers like plants and fungus. Examples are grasshoppers, cows, and plankton.
Which of the following is not a characteristic of direct current?
an example power source is a generator
Direct current flows in only one direction in a circuit, from the negative terminal of the voltage source to the positive. A common source of DC is a battery. In contrast to the constant one-way flow of direct current, alternating current changes direction many times each second. Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances.
__________ and __________ pair to strengthen bones.
vitamin D, calcium
Vitamin D helps calcium strengthen bones while also aiding muscle, nerve, and immune system function.
Mechanical advantage is resistance force divided by effort force:
MA = \( \frac{F_r}{F_e} \) = \( \frac{350 lbs.}{70 lbs.} \) = 5