About how many questions are there on the real SAT under the "passport to Advanced math" category? How many are considered "Heart of Algebra"?

16 of the 58 math questions are under the "Passport to Advanced Math" category and 19 of the 58 math questions are under the "Heart of Algebra" category.

In one question in practice questions of this section 1^1/2=1 but shouldn't the answer be 1 or -1 ??

Not sure what question you're talking about, but normally yes 1^(1/2) could be 1 or -1 because 1^2 is 1 and -1^2 is also 1. I assume that the question asked for the positive answer or it just made sense in context of the problem, such as a distance or something (since distance can't be negative)

HI! I need help with this: An electronic store offers its employees two different compensation plans. Employees on Plan A earn $500 per week plus a 25% commission on their weekly sales of the products. Employees on Plan B earn $750 per week plus a 15% commisson on their weekly sales of the products. Which inequality describes the amount in sales each week, x dollars, for which employees on Plan A earn more than employees on Plan B? The answer is x>2500. Can anyone please show me how to do this one? I don't understand this question

Alright, first of all, let's write down the info the problem has given us: Plan A earn 500 per week, plus a 25% commission on their weekly sales of the products. If x dollars is the amount in sales each week, the equation for the earning of the week for Plan A would be: A = 500 + 0.25x Plan B earn 750 per week, plus a 15% commission on their weekly sales of the products. The equation for the earning of the week for Plan B would be: B = 750 + 0.15x Now the questions wants to know at what value of x, A becomes greater than B. We can substitute the equations above in A > B 500 + 0.25x > 750 + 0.15x 0.25x - 0.15x > 750 - 500 0.10x > 250 0.1x/0.1 > 250/0.1 x > 250/0.1 --> x > 2500 Hope this helped. Please understand that I'm just a fellow student who happens to be studying for the SAT, so my answer might not be 100% accurate.

How to deal with the questions in passport to advanced maths if we forget the basics of 10th grade? Need some advice and guidelines to improve in this section.

You can check out khanacademy.org/math for more help with your math fundamentals.

Can someone tell me the answers and also give an explanation on how to solve them?

If you go to: khanacademy.org/sat You can start using Official SAT Practice for free, which has explanations and answers for all the practice questions.

I'm practicing for the sat right now but I am stuck on one practice question. The question is if x + y = 13 and x - y = 2, what is the value of x^2 - y^2. Can someone explain this question please?

x to the power of 2 - y to the power of two is (x+y)(x-y) so 13 multiply by 2 is 26

Main content

SAT

Course: SAT > Unit 6

Lesson 2: Inside the SAT Math Test

The SAT Math Test: Passport to Advanced Math

Google Classroom

In this series of articles, we take a closer look at the SAT Math Test.

SAT Math questions fall into different categories called "domains." One of these domains is Passport to Advanced Math: questions that ask you to analyze advanced mathematical expressions.

You will not need to know domain names for the test!

The SAT is designed to assess how ready you might be to tackle more advanced mathematics in college or later on in your career, so it includes some more advanced topics.

Passport to Advanced Math problems will test your understanding of the structure of expressions, and you will be asked to analyze, manipulate, and rewrite these expressions. This includes an understanding of the key parts of expressions, such as terms, factors, and coefficients.

This category also includes other skills crucial for success in later mathematics and scientific fields, such as:

Solving quadratic and other nonlinear equations

Example

If a, squared, plus, 14, a, equals, 51 and a, is greater than, 0, what is the value of a, plus, 7 ?

Understanding the graphs of quadratic and higher-order functions
Interpreting a solution, constant variable, or term based on the context of a nonlinear equation in one variable
Creating and using quadratic or exponential functions

Using a graph to identify other equations in a system with a non-linear equation

Example

The function f, left parenthesis, x, right parenthesis, equals, x, start superscript, 4, end superscript, minus, 2, point, 4, x, squared is graphed in the x, y-plane as shown above. If k is a constant such that the equation f, left parenthesis, x, right parenthesis, equals, k has 4 solutions, which of the following could be the value of k ?

Are you ready to start practicing? Head over to the Math Practice Area and try some problems!

Attributions

This article was adapted from the following source: “Test Specifications for the Redesigned SAT.”

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wsha0900
Posted 6 years ago. Direct link to wsha0900's post “About how many questions ...”
About how many questions are there on the real SAT under the "passport to Advanced math" category? How many are considered "Heart of Algebra"?
Button navigates to signup pageButton navigates to signup page
(18 votes)
Answer
- Noha L
  Posted 2 years ago. Direct link to Noha L's post “16 of the 58 math questio...”
  16 of the 58 math questions are under the "Passport to Advanced Math" category and 19 of the 58 math questions are under the "Heart of Algebra" category.
  Button navigates to signup page
  (3 votes)
Anne Shirley
Posted 4 years ago. Direct link to Anne Shirley's post “HI! I need help with this...”
HI! I need help with this:
An electronic store offers its employees two different compensation plans. Employees on Plan A earn $500 per week plus a 25% commission on their weekly sales of the products. Employees on Plan B earn $750 per week plus a 15% commisson on their weekly sales of the products. Which inequality describes the amount in sales each week, x dollars, for which employees on Plan A earn more than employees on Plan B?
The answer is x>2500.
Can anyone please show me how to do this one? I don't understand this question
Button navigates to signup pageComment on Anne Shirley's post “HI! I need help with this...”
(5 votes)
Answer
- Lin Gh.
  Posted 4 years ago. Direct link to Lin Gh.'s post “Alright, first of all, le...”
  Alright, first of all, let's write down the info the problem has given us:
  
  Plan A earn 500 per week, plus a 25% commission on their weekly sales of the products. If x dollars is the amount in sales each week, the equation for the earning of the week for Plan A would be:
  
  A = 500 + 0.25x
  
  Plan B earn 750 per week, plus a 15% commission on their weekly sales of the products. The equation for the earning of the week for Plan B would be:
  
  B = 750 + 0.15x
  
  Now the questions wants to know at what value of x, A becomes greater than B.
  
  We can substitute the equations above in A > B
  
  500 + 0.25x > 750 + 0.15x
  
  0.25x - 0.15x > 750 - 500
  
  0.10x > 250
  
  0.1x/0.1 > 250/0.1
  
  x > 250/0.1 --> x > 2500
  
  Hope this helped.
  
  Please understand that I'm just a fellow student who happens to be studying for the SAT, so my answer might not be 100% accurate.
  Comment on Lin Gh.'s post “Alright, first of all, le...”
  (25 votes)
Tanishqa
Posted 7 years ago. Direct link to Tanishqa's post “In one question in practi...”
In one question in practice questions of this section 1^1/2=1 but shouldn't the answer be 1 or -1 ??
Button navigates to signup pageButton navigates to signup page
(6 votes)
Answer
- connorgleason1
  Posted 6 years ago. Direct link to connorgleason1's post “Not sure what question yo...”
  Not sure what question you're talking about, but normally yes 1^(1/2) could be 1 or -1 because 1^2 is 1 and -1^2 is also 1. I assume that the question asked for the positive answer or it just made sense in context of the problem, such as a distance or something (since distance can't be negative)
  Button navigates to signup page
  (3 votes)
Lorij2199
Posted 6 years ago. Direct link to Lorij2199's post “I'm practicing for the sa...”
I'm practicing for the sat right now but I am stuck on one practice question. The question is if x + y = 13 and x - y = 2, what is the value of x^2 - y^2. Can someone explain this question please?
Button navigates to signup pageComment on Lorij2199's post “I'm practicing for the sa...”
(0 votes)
Answer
- mayarhosni
  Posted 6 years ago. Direct link to mayarhosni's post “x to the power of 2 - y t...”
  x to the power of 2 - y to the power of two is (x+y)(x-y) so 13 multiply by 2 is 26
  Comment on mayarhosni's post “x to the power of 2 - y t...”
  (10 votes)
Hiba Nasir
Posted 6 years ago. Direct link to Hiba Nasir's post “Does permutation and comb...”
Does permutation and combination come in SAT maths?
Button navigates to signup pageComment on Hiba Nasir's post “Does permutation and comb...”
(4 votes)
Answer
- BrotherCuber
  Posted 5 months ago. Direct link to BrotherCuber's post “Not that I am aware of. W...”
  Not that I am aware of. What does come up is analysis of data sets. For those you should know the concepts of mean, median, mode, and standard deviation (for standard deviation you should not have to calculate it precisely, you just need to know how it increases and decreases.
  Button navigates to signup page
  (1 vote)
death7360
Posted 7 years ago. Direct link to death7360's post “How to deal with the ques...”
How to deal with the questions in passport to advanced maths if we forget the basics of 10th grade? Need some advice and guidelines to improve in this section.
Button navigates to signup pageComment on death7360's post “How to deal with the ques...”
(4 votes)
Answer
- Kitt Hirasaki (former Khan Academy)
  Posted 7 years ago. Direct link to Kitt Hirasaki (former Khan Academy)'s post “You can check out khanaca...”
  You can check out https://khanacademy.org/math for more help with your math fundamentals.
  Button navigates to signup page
  (3 votes)
Zeineb Benfredj
Posted 5 years ago. Direct link to Zeineb Benfredj's post “are polynomials included...”
are polynomials included in the sat test and can you please give me the list of the exact math lessons that i need to learn for the test i couldn't find them anywhere
thank you
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(3 votes)
Answer
FletcherAbrianna0
Posted 7 years ago. Direct link to FletcherAbrianna0's post “Can someone tell me the a...”
Can someone tell me the answers and also give an explanation on how to solve them?
Button navigates to signup pageComment on FletcherAbrianna0's post “Can someone tell me the a...”
(1 vote)
Answer
- Kitt Hirasaki (former Khan Academy)
  Posted 7 years ago. Direct link to Kitt Hirasaki (former Khan Academy)'s post “If you go to: khanacadem...”
  If you go to:
  
  https://khanacademy.org/sat
  
  You can start using Official SAT Practice for free, which has explanations and answers for all the practice questions.
  Button navigates to signup page
  (2 votes)
Bjornmace
Posted 3 years ago. Direct link to Bjornmace's post “I just wanted to throw th...”
I just wanted to throw this out there for anyone who is nervous about the SAT's. i was incredibly nervous the first time i took it, and i had studied for less than a month. it was really easy though. the practice tests are harder than the actual test, because if you are prepared for something harder, than you can do well on something easier. this may not help anyone who is nervous, but i just wanted to say not be worried. you can take the test multiple times, and colleges only look at your highest score. good luck to all the people who are taking the SAT for the first, second, or even third time. hope this comment helps someone out there.
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(2 votes)
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g
Posted 4 months ago. Direct link to g's post “A sequence of transformat...”
A sequence of transformations is described below.
A reflection over a line \overleftrightarrow{PQ}
PQ

P, Q, with, \overleftrightarrow, on top
A rotation about the point PPP
Another reflection over \overleftrightarrow{PQ}
PQ

P, Q, with, \overleftrightarrow, on top
A rotation about the point QQQ
Which of the following must be preserved under this sequence of transformations?
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(2 votes)
Answer