SAT Prep is an important topic, but you do not need to approach it with fear. Each Saturday, two questions will be posted similar to the type you will find on the mathematics sections of an SAT test.* The following week, I will provide the answer along with two new questions. These questions are good practice for the PSAT or the ACT as well.
* I am creating these myself, based on available SAT test materials (so that I do not infringe on copyright laws).
In triangle MNP, angle M and angle N are congruent.
Side MN is 24 inches long.
If tan ∠M is 0.75, what is the area of the triangle in square inches?
A housekeeping company cleans x properties per month for m months. For each home, housekeeping starts at d dollars. If the company charges an additional f dollars per square feet and the average home is y square feet, which of these represents the monthly revenue of the housekeeping company?
A wholesale food vendor charges $23 for each case of mustard and $27 for each case of ketchup. If a diner buys 15 cases of condiments, of which x cases are ketchup and the rest are mustard. Which of the following equations represents the total cost in dollars, d?
27x + 23(15 – x) = d
27x + 345 – 23x = d
4x + 345 = d
d = 4x + 345
What is the radius of the circle given by the equation x2 + 6x + y2 – 8y = 11?
x2 + 6x + y2 – 8y = 11
We need to “complete the squares.”
(x2 + 6x + 9) = (x + 3)2 and (y2 – 8y + 16) = (y – 4)2
So, add 9 and 16 to both sides
(x2 + 6x + 9) + (y2 – 8y + 16) = 11 + 9 + 16
(x + 3)2 + (y – 4)2 = 36 Substitute on left; add on right
The equation for a circle is: (x – h)2 + (y – k)2 = r2, where (h, k) is the center and r is the radius. This circle would have a center of (-3, 4) and a radius of √36 = 6.
Remember, the answers for this week’s questions will be posted next Saturday along with an explanation of how we get to those answers.
Please, contact me at info@mytutorlesson.com if you have an SAT question you would like to ask. Some will be answered directly and some will be posted here to be shared.
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