# Here’s a question from the May 2023 (US) SAT, non-calculator section

Here’s a question from the May 2023 (US) SAT, non-calculator section:

Alice took 60 minutes to complete a task on her first trial. The time it took Alice to complete the task decreased by 10% of the previous time for each additional trial. Approximately how many minutes will it take Alice to complete the task on her fifth trial?

A) 50
B) 42
C) 39
D) 35

I know we can solve this by subtracting 10% of the current value 5 times, but is there a more direct way to solve, maybe as a function?

# 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…

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?

# For the given function g, which of the following equivalent forms…

g(x) = 1/5 (5)^(x+4)

For the given function g, which of the following equivalent forms shows the y-coordinate of the y-intercept of the graph of y=g(x) in the xy-plane as a constant or coefficient?

A. g(x) = 125(5)^x

B. g(x) = 25(5)^(x+1)

C. g(x) = 5(5)^(x+2)

D. g(x) = (5)^(x+3)

Choice A is correct, but why?

# Can you work through question 38 on Section 4 of practice test 1? Thanks :)

Can you work through question 38 on Section 4 of practice test 1? Thanks 🙂

# (a^2x) ÷ (a^(x-y)) = a, then y equals : A) -x B) 1 C) x D) x-1 E) 1-x

When you have exponents with the same base and you divide them, you subtract the exponents. So from what we’re given, we know that 2x – (x – y) = 1. We can solve that for y. 2x – (x – y) = 1 2x – x + y = 1 x + y = 1 y = (more…)

# If k is a constant and k<0, how many solutions does the equation sqrt(x+k)=k have?

None. The square root of something will never be negative, so if k < 0, it can’t be all alone on the right side of that equation. from Tumblr https://ift.tt/2Aah6qp

# If k is a constant and k<0, how many solutions does the equation sqrt(x+k)=k have?

None. The square root of something will never be negative, so if k < 0, it can’t be all alone on the right side of that equation. from Tumblr https://ift.tt/2Oaom8A

# Question from March 2018 SAT: section 3 #15

Question from March 2018 SAT: section 3 #15

# The temp T in °C of a chilled drink after the drink has been sitting on a table for m min…

This no-calc prompt is from the Daily Practice app:

The temp T in °C of a chilled drink after the drink has been sitting on a table for m min is represented by T(m) = 32 – 28*3^(-0.05m).

What is the best interpretation of the # 32 in this context?

A. The drink is originally 32°C.
B. Every 32 min, the temperature warms by 3°C.
C. After 32 min, the drink will fully warm to the ambient temp.
D. After the drink has been sitting for a very long time, the temp of the drink will approach 32°C.

# Test 2 Section 3 #7

Test 2 Section 3 #7

# If r>0 and (9r/2)^(1/3) = (1/2) r, what is the value of r?

If r>0 and (9r/2)^(1/3) = (1/2) r, what is the value of r?

# would you please explain #12 in test 5, section 3.

would you please explain #12 in test 5, section 3.

# Can you do Test 2 Section 3 #14? Thanks!

Can you do Test 2 Section 3 #14? Thanks!

# Can you do Test 6 section 4 number 37? I always miss this kind of question!

Can you do Test 6 section 4 number 37? I always miss this kind of question!

# What is the fastest way to do test 5 #14 from the no calculator section?

What is the fastest way to do test 5 #14 from the no calculator section?