In tennis, a player must win at least 6 games to win a set. If g is the number of games the player won and s is the number of sets the player won, which of the following inequalities must be true?
A. s ≤ 6g
B. s ≥ 6g
C. 6s ≤ g
D. 6s ≥ g
I thought the answer C and D would cancel out since g is games and number of games is 6. So then I chose A but that answer was wrong. Could you explain the reason for that?
Can you help me with the plugging in question 8 on pg. 29?
Hi! How do you do question 2 on page 100 from the functions section? I reviewed the solution in the back of the book but still don’t understand.
Hi Mike …can you solve & explain? (from QAS March 2021)
Section 3; #11.
y = (x-1)(x+1)(x+2)
The graph in the xy plane of the equation above contains the point (a,b). If -1 < or = a < or = 1, which of the following is NOT a possible value of b?
Hello Mike, I was struggling to make sense of question #6 on the Math (No calculator) section on the SAT Practice Test #8. Can you please explain the steps to properly solve it. Thank you for your time.
Hi! I was wondering what the best way to plug in would be for “example 1” in the “exponents and exponential functions” chapter?
Let’s work backwards, and use hours instead of distance for ease (assume the plane travels at a constant speed for our purposes). Let’s say when she woke up, she had 1 hour left in her flight. That’s half of the time she was sleeping so she must’ve slept for 2 hours. She first fell asleep (more…)
Pilar is a salesperson at car company. Each car costs at least $15,000. For each car she sells, she gets 6% commission of the amount by which selling price exceeds $10,000. If Pilar sells a car at d dollars, which function gives her the commission in dollars on sale?
A triangle’s base was increased by 15%. If its area is increased by 38%, what percent was the height of the triangle increased by?
One way to make sure you get questions like these right is to plug in some values to see which equation makes sense. For example, you might choose to plug in 0 for h here because you know that at zero feet above sea level the boiling point should be 212° F. Choices C and D (more…)
1/2 x = a
x + y = 5a
In the system of equations above, a is a constant such that 0 <a <1/3. If (x,y) is a solution to the system of equations, what is one possible value of y?
(Answer: 0 < x < 1)
Hi. Would it be possible for you to explain #13 on SAT practice test 5 on calculator inactive (the tea bag problem)? I think the main reason I found it confusing was the wording, and the SAT explanation for the answer was also a little bit wordy.
If f and g are functions, where f(x) = x^3 -10x^2 +27x – 18 and g(x) = x^3 – x^2 – 6x, which of the following gives a relationship between f and g?
A) g(x) = 3 f(x)
B) g(x) = f(x) – 3
C) g(x) = f(x) + 3
D) g(x) = f(x – 3)
E) g(x) = f(x + 3)
Can you solve w/o graphing?
Here are a couple questions from the old official SAT Subject Test Math I practice exam:
The function f is defined by f(x) is x^4 – 4x^2 + x + 1 for -5 ≤ x ≤ 5. In which of the following intervals does the minimum value of f occur?
A) -5 ≤ x ≤ -3
B) -3 ≤ x ≤ -1
C) -1 ≤ x ≤ 1
D) 1 ≤ x ≤ 3
E) 3 ≤ x ≤ 5
Can you solve w/o graphing?