I found this on the No Calc section of the March 2018 SAT, can you solve it the “traditional way” and with shortcuts (if there are any)? (it’s a grid-in question)

Hi Mr. Mcclenathan,

I found this on the No Calc section of the March 2018 SAT, can you solve it the “traditional way” and with shortcuts (if there are any)? (it’s a grid-in question)

Tamika is ordering desktop computers for her company. The desktop computers cost $375 each, and tax is an additional 6% of the total cost of the computers. If she can spend no more than $40,000 on the desktop computers, including tax, what is the maximum number of computers that Tamika can purchase?

Thank you!!

Thanking content.

Thanking content.

Hello Mr.Mcclenathan
I hope you’re doing well
I’m preparing for my SAT and I’m aiming for the perfect score 1600 , However I got ur book a few days ago and it’s really amazing,thank you so much for it and have a good life. Create more books

Test #9, Section 4 (Calculator), #18

I’d be curious to hear what you think is the easiest way to solve Test #9, Section 4 (Calculator), #18. A lot of the students I work with find this challenging because the question says p percent (rather than using p as a decimal).

Thanks!

Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?

Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?

A) (x – 5)² + (y+5)² = 10

B) (x – 5)² + (y+5)² = 100

C) (x – 10)² + (y+10)² = 10

D) (x – 5√2)² + (y+5√2)² = 100

Clearly, A) is out because that one does not have a radius of 10. What is the most time-efficient way to solve this? Sketch and eyeball?

Can you explain this algebraically (even if you also give a graphed explanation)?

Can you explain this algebraically (even if you also give a graphed explanation)?

Radioactive substances decay over time. the mass M, in grams, of a particular radioactive substance d days after the beginning of an experiment is shown in the table below:

Number of days, d Mas, M (grams)
0 120.00
30 103.21
60 88.78
90 76.36

If this relationship is modeled by the function M(d) = a • 10^bd, which of the following could be the values of a and b?

A) a = 12 and b = 0.0145

B) a = 12 and b = -0.0145

C) a = 120 and b = 0.0022

D) a = 120 and b = -0.0022

College Board Test 4, Math 4 #25 (the explanation link that you previously made does not work)

College Board Test 4, Math 4 #25 (the explanation link that you previously made does not work):

f(x) = 2x^3 + 6 x^2 + 4x
g(x) = x^2 + 3x + 2

The polynomials f(x) and g(x) are defined above. Which of the following polynomials is divisible by 2x + 3?

A) h(x) = f(x) + g(x)

B) p(x) = f(x) + 3 g(x)

C) r(x) = 2 f(x) + 3 g(x)

D) s(x) = 3 f(x) + 2 g(x)