Digital SAT Math - Practice Test 1, Math Module 1 (Part 2)

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[@OverclockingCowboy]

For Question 26 at 1:15:00 , the method shown “conveniently” eliminates answers A and D by simply setting r=0. The examiners are most likely aware of this and may alter answers A and D so that they cannot be eliminated with simple substitutions.
If we look at answers C and D, they have a common value of x=r. Replacing x by r in the first equation, we get
y = 1/3 ( 7 - 2r )
Both answers C and D can be eliminated.
On answer B, y = r. Replacing y by r, we get
x = 1/2 ( 7 - 3r )
Answer B is the correct answer.
If answers B, C, and D are eliminated, you have to convince yourself that answer A is correct.

[@MichaelToohey]

That works too! But remember that only ONE answer choice will work for any value of r… so plugging in values will always work on a question like this…

[@OverclockingCowboy]

⁠​⁠​⁠@@MichaelToohey
There is another Guess And Check approach for this problem, but it is not dumb proof as assigning values for r. It requires some analysis. One problem with assigning values for r is clerical errors.
If we look at the given equation, both x and y have positive coefficients. This means that when we apply the r terms into x and y, they should be of opposite signs, so that they can completely cancel each other out with a remainder of 7. And since they have to completely cancel each other out, we only need to consider the r terms.
Choice C is eliminated - same r signs
Choice B. 2(-3r/2) + 3(r) = 0. [correct answer]
Choice A. 2(r/5) + 3(-r/5) not equal zero
Choice D. 2(r) + 3(-3r/2) not equal zero

[@MessiMateoHub]

What do you think of this argument for question 20: the data value 11 occurs 11 times and yields the largest fx of 121, this makes 11 the max data value?

[@MichaelToohey]

Thanks for reaching out! I see what you’re saying, but you’re overthinking it!
The question says “what is the maximum data value, and in the column labeled “data value” in the chart, the maximum data value is 14. That’s it!
You gotta answer the question being asked, not another one.
Make sense?

[@OverclockingCowboy]

This question is a disrespect to the people taking the test.

[@MichaelToohey]

Ha! I get it… but you’d be amazed by the number of students that misinterpret the question…

[@ahmedmusaohee4096]

Can I get your rules of mathing PDF please?

[@MichaelToohey]

Thanks for reaching out! Shoot me an email at [e-mail]!

[@abdulwahab7206]

Wrong answer of question no 19
Correct answer is 43

[@MichaelToohey]

Check the answer key… the right answer is answer choice D!
Yes, the radius of the larger circle is 43 times larger, but the question is about how much bigger is the AREA of the larger circle… remember that you are squaring the radius in the area formula, so any change you make to the radius will be amplified when you square it. So the bigger circle is going to be 43^2 times bigger - answer choice D.
Make sense?

[@melissacavazos3370]

dang!! this was a huge brain crasher for me! did not get not even half of these. yikes!

[@MichaelToohey]

Did the explanations I offered make any sense? Or do you mean you didn’t get half of them on your own?