Algebra
Which students will take the PSAT/SAT and when?
All 9th, 10th and 11th grade students will take the PSAT on April 14th, 2026.
Diagram from Mrs. Grodi.
The figure shows a line intersecting two parallel lines. What is the value of x?
Answer: 31 degrees
Elsie was a solo performer for 4 of the 15 years she was a professional musician. What is the ratio of the number of years Elsie was a solo performer to the number of years she was a professional musician?
a) 4:11
b) 4:15
c) 4:19
d) 15:4
The answer is B.
What item should you NOT bring with you to take the PSAT?
A) a calculator
B) pencils with erasers to mark your answers
C) your cell phone to keep track of time
D) you should bring all of the above items for the PSAT.
The answer is C. You cannot use a cell phone during the test so bring a calculator. The teacher will keep track of the time during the test for you. You should bring your student ID and two #2 pencils with erasers.
x + 3y = 2
4x - 3y = 23
The given system of equations has solution (x,y). What is the value of x?
a) -1
b) 5
c) 7
d) 25
The correct answer is B
Where do students find their testing room location?
It is posted outside the student services center.
V = 1/3*lwh
The formula gives the volume, V, of a rectangular pyramid with base length, l, base width, w, and height, h. What is the volume, in cubic meters, of a rectangular pyramid with a base length of 5meters, a base width of 4 meters, and a height of 3 meters?
Answer: 20 meters
Should you guess the answers on the PSAT?
A) Yes, but only the ones you don't know because wrong answers don't count against you.
B) Yes, because you have to answer all the questions to get a score.
C) No, because it could throw you off for other questions
D) No, because wrong answers count against you.
E) Both C and D
The answer is A
If x= 2/3y and y = 18,what is the value of 2x−3?
Choice A is correct. Substituting the given value of y = 18 into the equation 2 3 x y yields 𝑥 = ( 2 3 ) (18), or x = 12. The value of the expression 2x − 3 when x = 12 is 2(12) − 3 = 21. Choice B is incorrect. If 2x − 3 = 15, then adding 3 to both sides of the equation and then dividing both sides of the equation by 2 yields x = 9. Substituting 9 for x and 18 for y into the equation 2 3 x y yields 2 9 18 12 3 , which is false. Therefore, the value of 2x − 3 cannot be 15. Choices C and D are also incorrect. As with choice B, assuming the value of 2x – 3 is 12 or 10 will lead to a false statement.
What three parts or subject areas are on the PSAT?
The PSAT consists of Critical Reading, Mathematics and Writing Skills.
Diagram from Mrs. Grodi.
Triangle ABC is shown. What is sin(∠ABC)?
A) 7√74
B) (7√74)/74
C) 74
D) 7/74
The answer is (7√74)/74
The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that time?
A) 8,930
B) 600,000
C) 5,440
D) 7, 690
Choice D is correct. The land area of the coastal city can be found by subtracting the area of the water from the total area of the coastal city; that is, 92.1 − 11.3 = 80.8 square miles. The population density is the population divided by the land area, or 621,000 7,685 80.8 , which is closest to 7,690 people per square mile
What is the highest score you can get on the SAT?
1600
A website-hosting service charges businesses a onetime setup fee of $350 plus d dollars for each month. If a business owner paid $1,010 for the first 12 months, including the setup fee, what is the value of d ?
Choice D is correct. The equation 12d + 350 = 1,010 can be used to determine d, the number of dollars charged per month. Subtracting 350 from both sides of this equation yields 12d = 660, and then dividing both sides of the equation by 12 yields d = 55. Choice A is incorrect. If d were equal to 25, the first 12 months would cost 350 + (12)(25) = 650 dollars, not $1,010. Choice B is incorrect. If d were equal to 35, the first 12 months would cost 350 + (12)(35) = 770 dollars, not $1,010. Choice C is incorrect. If d were equal to 45, the first 12 months would cost 350 + (12)(45) = 890 dollars, not $1,010.
Kyle's rectangular computer monitor has a diagonal length of 19 inches. If the height of the monitor is 11.9 inches, which of the following is closest to the width of the monitor in inches?
A) 7.1
B) 14.8
C) 15.5
D) 22.4
The answer is B.
One marketing professional recommends that businesses budget between 12% and 16% of their monthly gross sales for rent. If a business earns $540,000 in gross sales per year, how many dollars would the adviser recommend as the maximum budget for rent each month?
The correct answer is $7,200.
540000/12 = 45000 and then 45000*.16 = 7200
How many minutes are given for the Writing Skills & Language section?
A) 25 minutes
B) 30 minutes
C) 35 minutes
D) Time is unlimited in the Writing Skills section.
The answer is C, 35 minutes.
x2-36
Which of the following is equivalent to the given expression?
A) (x - 6)2
B) (x + 6)2
C) (x - 6)(x + 6)
D) x(x - 36)
Why should you take the PSAT?
a) It is a practice test for the SAT, which you take in your junior or senior year.
b) It is used for qualification in the National Merit Scholarship Program in your junior year.
c) It can be used to qualify for your FSA and/or Algebra EOC graduation requirement.
d) Counselors use scores to determine placement in Advanced Placement or AP courses.
e) all of the above
The answer is E, all of the above.
Diagram from Mrs. G.
In the diagram, line V transverses lines w, x, y, and z. Given the angle measurements shown, which pair of lines is parallel?
A) w and x
B) x and y
C) y and z
D) w and y
The answer is A.
Diagram from Mrs. G.
The correct answer is C.
Here are some general hints for answering Sentence Completion questions.
Which one is NOT correct.
A) Read the entire sentence to yourself.
B) Watch for introductory or connecting words and phrases like "but," "not," "because," etc.
C) In sentences with two blanks, only one answer has to make sense in the sentence.
D) Start by working with one blank at a time.
E) Stay within the meaning of the sentence.
F) Before you mark your answer, read the complete sentence with your choice filled in.
The answer is C. In sentences with two blanks, make sure the words for both blanks make sense in the sentence.