Mike, can you show best way to solve this insane question!? (#38 with Calculator OCT 1, 2022 SAT)
Two numbers, a and b, are each greater than zero, and 4 times the square root of a is equal to 9 times the cube root of b. If a=2/3, for what value of x is a^x equal to b?
HI Mike…Thanks for all your help ! Here’s another question:
When a buffet restaurant charges $12.00 per meal, the number of meals it sells per day is 400. For each $0.50 increase to the price per meal, the number of meals sold per day decreases by 10. What is the price per meal that results in the greatest sales, in dollars, from meals each day?
A) $16.00
B) $20.00
C) $24.00
D) $28.00
Hi Mike… QAS March 2021, Section 3, # 20. Since “no solution,” can you consider each side a separate parallel line & use corresponding coefficients to confirm that k must equal 1/2? Or, what’s the best way to solve?
1/2x + 5 = kx + 7
In the given equation, k is a constant. The equation has no solution. What is the value of k?
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?
A) -2
B) -1
C) 0
D) 1
Hi Mike… can you work through the steps to solve Q 24 from Official Test 9 Section 4? thanks!
Hi Mike… can you solve this and explain please? Thanks!
ax + 5y = 8
12x + 15y = 10
In the given system of equations, a is a constant. If the system has no solutions, what is the value of a ?
Some help please, Mike?
x^2 – 12x +k = 0 In this equation, k is a constant. For which values of k does the equation have only one solution? I know I can set the discriminant to zero and solve for k. But is there another way to solve? Thanks!
Hi Mike, can you explain how to solve SAT 8, Section 3, #6 as a “system of equations?” Thanks.
Question from March SAT: Section 4 #33
Question from March 2018 SAT: section 3 #15
Hi Mike…SAT 7, Section 4, Q6: I now see the shortcut here (that both sides of the equation are perfect squares,) but if I did expand and FOIL the left side, wouldn’t I still get the correct “a” values even though it takes longer? I can’t get it to work !! Can you please show the alternate path math steps? Or is recognizing the perfect squares the ONLY way to solve this one ? Thanks!
Hi Mike, Can you please explain Question 11, Test 6, section 3 ? I know the parabola opens downward, but I’m confused after that. Thanks.
Hi Mike, I’m asking about SAT 8, Section 3, Number 7. Is it always best to immediately plug in answer choices on questions like this? For the algebraic practice, I rewrote the equation as a quadratic and solved for (x=5) and (x= -1). Then sub’d each value back into the given equation to find that only (x=5) worked. OK…but what a time-killer at #7 out of 20. Any other solution path to consider? Thanks!
Hi Mike, Test 7, Section 4, Number 38. Probability: I keep losing track trying to think this through. Other than the table provided, is there a chart I can draw that will help me “see” the probabilities? Or, what’s the best / quickest way to manage this one? Thanks !
Hi Mike, Can you work the solution for Test 7, Section 3, #13? Thanks!
