The distance between the points (2,1) and (x,7) as graphed on the standard (x,y) coordinate plane is 10. What is one possible value for x?

A. -10

B. -6

C. 5

D. 8

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Category: Q and A

The distance between the points (2,1) and (x,7) as graphed on the standard (x,y) coordinate plane is 10. What is one possible value for x?

A. -10

B. -6

C. 5

D. 8

m(t₂)−m(t₁)=15(t₂ − t₁ )

A chemist dissolves sodium acetate in boiling water. As the temperature cools down, the crystals start to grow with increasing mass m(t), in grams (g) t seconds (s) after crystallization. The equation above shows this relationship where t₁ < t₂. Which of the following correctly explains the growth of the crystal mass?

The crystal mass grows linearly by 15g per s

The crystal mass grows exponentially by 1g every 15s

The crystal mass grows linearly by a factor 15 every s

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?

x^3 + 7x^2 − 36

The polynomial above has zeros at -6 and 2. If the remaining zero is z, then what is the value of -z?

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?

5G + 45R = 380

At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won G green tokens and R red tokens worth a total of 380 points. The given equation represents this situation. How many more points is a red token worth than a green token?

Store A sells raspberries for $5.50 per pint and blackberries for $3.00 per pint. Store B sells raspberries for $6.50 per pint and blackberries for $8.00 per pint. A certain purchase of raspberries and blackberries would cost $37.00 at Store A or $66.00 at Store B. How many pints of blackberries are in this purchase?

A. 4

B. 5

C. 8

D. 12

The official answer explanation is a bit confusing. Can you please explain B)?

A truck enters a stretch of road that drops 4 meters in elevation for every 100 meters along the length of the road. The road is at 1300 meters elevation where the truck entered, and the truck is traveling at 16 meters per second along the road. What is the elevation of the road, in meters, at the point where the truck passes t seconds after entering the road?

A) 1300-0.04t

B) 1300-0.64t

C) 1300-4t

D)1300-16t

Hi, I have another question

y=600+105x ≤ 750+80x

what is x?

the answer key says it x≤ 6; however, they didn’t change the sign when dividing both sides.

the answer I got was x≥6

(I also wanted to mention that I asked two questions and they are both from the deleted practice test 4. Do you know why practice tests 2 and 4 are deleted? Would it be because there are mistakes?)

Hello; I have a question.

sqrt(x-2)=x-4

what is the solution set of the equation above?

a){3,6} b) {2} c) {3} d) {6}

the answer I got was a) but the answer key said it’s incorrect because 3 is an extraneous solution; however, I don’t understand why it’s an extraneous solution. I plugged in 3 and 6 back into the equation and both worked out.

for plugging in 3:

sqrt(3-2)=3-4 –> sqrt(1)=-1 –> -/+1=-1 does the square root of 1 not include -1?

Hi Sir,

A class X cargo ship can hold a maximum of 18000 standard containers. A class X cargo ship can hold 20 percent more containers than a class Y cargo ship. How many more containers can a class X cargo ship hold than a class Y cargo ship?

How to resolve this question?

Thank you!

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!!

Could you repost answer explanation to CollegeBoard Test 3, Math 4.23? Specifically, is there a way to solve this if you don’t know the little trig ID about complementary angles?

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

2x^2 – 3x – 7 = 0

If c and d are the two solutions of the quadratic equation above, what is the value of c + d?

Is there a smarter/quicker way to solve this than the quadratic formula?