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Fiveable SAT Math: Tips and Tricks

8 min readโ€ขaugust 3, 2023

Debdutta Mandal

Debdutta Mandal

Zaina Siddiqi

Zaina Siddiqi

Debdutta Mandal

Debdutta Mandal

Zaina Siddiqi

Zaina Siddiqi

๐Ÿ“ข SAT Math: Tips and Tricks

The SAT Math test consists of 58 questions divided into two sections:

  • โœ๐Ÿผ Section 3 of the SAT: 20 questions, non-calculator, in 25 minutes.

  • ๐Ÿงฎ Section 4 of the SAT: 38 questions with a calculator in 55 minutes.

The test will go by fast, so it's important to keep calm. We're going to give you some tips to keep in mind as you work on the math sections.

5๏ธโƒฃ Major SAT Math Strategies

Here is a quick run-down of the 5 major strategies we'll be discussing:

  1. ๐Ÿ”š The End: Make sure to answer what the question is asking.

  2. ๐Ÿ”ŒThe Plug: Substitute real numbers for the variables and check against the answer choices.

  3. โฌ‡๏ธ Break it Down: Piece together the problem from solvable pieces instead of all at once.

  4. ๐Ÿ‘‰๐Ÿ‘ˆ Close Enough: Eliminate answers that are wayy too big or small; find the medium.

  5. ๐Ÿ“ฒ Calculate: Only use your calculator when you need it for complex equations with big numbers.

Now, let's go through these one-by-one with practice questions ๐Ÿ‘Ÿ


๐Ÿงฐ SAT Math Strategy Toolbox

๐Ÿ”š The End

This strategy makes you slow down to make sure that you are actually solving the question that you are supposed to be answering. It might seem like common sense, but using this one tip can actually help you increase your score and stop making simple mistakes ๐Ÿ˜ข

WOW. This might not seem revolutionary, but everyone has made this mistake before by rushing and starting to solve the problem before you even get to the "?". Look at the example below for ideas on how this strategy might help.

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-IvDLAtJLwWpj.png?alt=media&token=07a34050-7155-4690-81d3-8c0f56a6edd9

Courtesy of SAT Practice Test 9 - Section 3 - NO CALCULATOR

You got an answer of 0.5, which is the correct answer for x, so why did you get it wrong? You didn't use ๐Ÿ”š The End! So let's go back to the question, and try using the strategy.

The question asked you for the answer to 2x+1, not just x ๐Ÿ˜ญ. If you read the question before you started working the problem, you would have seen that the correct answer would be x=2 and not x=0.5.

Make sure to use ๐Ÿ”š The End so that you don't miss any more easy-level questions because of reading errors!


๐Ÿ”Œ The Plug

This strategy has 2 applications for you, as it is one of the most versatile strategies for the math section. Make sure to keep this one handy. Let's differentiate between the 2 applications by calling them The OG Plug and The Plug 5.0.

The OG Plug

This strategy can help you solve almost any problem in this section involving variables and especially problems with more than 1 use of a variable! Let's look at a practice problem together to look at this strategy in action:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-6BormLzmun27.png?alt=media&token=ba816663-ced1-4119-bbc4-055a435bbe06

Image Courtesy of SAT Practice Test 1 - Section 3 - NO CALCULATOR

If you try to solve this problem with your Algebra 2 knowledge, it can get really complicated with fractions and double variables ๐Ÿ˜ณ

  1. However, ๐Ÿ”ŒThe OG Plug can make this problem super simple for most people! Since the problem says that x > 3, then we just need to pick a value for X greater than 3 to plug in.

  2. So, let's pick 4 for x!

  3. When we use ๐Ÿ”ŒThe OG Plug with x=4, then we get 42/13.

  4. Now, all we have to do is plug in our number for x in all of the answer choices and see what matches the problem. ๐Ÿ‘

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-3moKzyojRXbl.PNG?alt=media&token=54f2c795-cd98-4f1f-a96c-b47e6aacf63b

Answer B solves for 42/13 which is equal to our solution to the original problem.๏ธ

If you used algebra and added the fractions with the FOIL method and too many other steps, then you should reach the same conclusion!

The Plug 5.0

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-fznagGDYhk9k.png?alt=media&token=c62fa28a-2a83-457c-abc2-a4ae1ee2fd14

Image Courtesy of SAT Practice Test 1 - Section 3 - NO CALCULATOR

If you try solving this system with elimination or substitution, you will end up with some really big numbers, or it will take a long time with lots of algebra! But using ๐Ÿ”ŒThe Plug 5.0, the answers can tell us which one is correct ๐ŸŽŠ !!

We just need to plug in the ordered pairs for X and Y for each answer choice and check which pair solves both equations! Let's start with letter B in the second equation. Now we get that:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-dmY9NiZva5xG.PNG?alt=media&token=52cb9528-3e8f-4ac3-a538-83e45db88af1

That equation is true! Since we picked an awesome โœจ answer choice to start with, let's just double-check the first equation before marking the correct answer

When we plug in (3,-8) to the first equation, we get that:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-2dO4Vm0Vme9j.PNG?alt=media&token=fd6ba564-2912-4699-956e-74ea5eccb4fa

which is also true ๐ŸŽ‰!! That means that Answer Choice B is correct. Let's mark that and move on without using any algebra, saving us lots of time! ๐Ÿ˜Ž


โฌ‡๏ธ Break it Down

This strategy helps you break up complex questions in the SAT Math section. Break it Down ๐Ÿ’” can help you answer questions that have too many variables or have tons of fractions by solving parts of an equation to put them back together.

This strategy can help you solve almost any problem in this section involving:

  • Multiple variables

  • Fractions

  • Percentages

  • Ratios

Let's look at a practice problem together to look at this strategy in action:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-YvLBDKP7WhEx.png?alt=media&token=6159bb93-0827-4f21-ab02-fa44f9d0cd0e

Image Courtesy of SAT Practice Test 1 - Section 4 - CALCULATOR

When you read this question, it might be nice to use the Rephrase Global Strategy ๐ŸŒ, but you can solve it just as easily with โฌ‡๏ธ Break it Down. So, the first thing that we need to do is define the variables and the percentages.

๐Ÿง  We know that:

  • p = new price

  • there was a 20% discount on p

  • there was an 8% sales tax applied

Those 3 pieces of knowledge (plus defining variable o = original price) are how we are going to โฌ‡๏ธ Break it Down ๐Ÿ˜Ž.

  1. Our first step is that 20% off means that we will be subtracting from the original price.

    1. We now know that p=0.8* o!

    2. We also know that there is a sales tax of 8% so that would be adding to price. So, we know that p = 1.08 * 0.8 * o!

  2. Now all we need to do is take the equation and put it in terms of p.

    1. So if we divide both sides by (1.08 * 0.8),

    2. Then we get that D*p/(0.8*1.08) is the correct answer

๐Ÿ™‹ Time to mark that and move on.


๐Ÿ‘‰๐Ÿ‘ˆ Close Enough

This strategy is a huge time-saver when you are taking your SAT Math. Close Enough can help you eliminate answers and easily see the correct one ๐Ÿ‘

This strategy can help you solve almost any problem in this section involving difficult concepts and is especially useful for multi-step problems. Let's look at a practice problem together:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-OXnLFDxFwuyu.png?alt=media&token=1fd73374-ca12-4ca2-b98e-3ebc479d3fb7

Image Courtesy of PSAT Practice Test 2 - Section 4 - CALCULATOR

When you start this problem the BIGGEST TIP ๐Ÿ’ก(besides ๐Ÿ‘‰๐Ÿ‘ˆ Close Enough) is to ๐ŸŽจ Sketch it Out! Whenever you have a problem that involves an equation with an ordered pair (or a graph without one given), you should ๐ŸŽจ Sketch it Out! on a hand-drawn graph!

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-YBtFNgV2P35Y.png?alt=media&token=076b09a9-3f8f-447f-9cd9-f79e9fe2c09a

๐ŸŽจ Sketch it Out : Self-Created; This graph shows you that you drawing don't have to be perfect to get the idea!

To use ๐Ÿ‘‰๐Ÿ‘ˆ Close Enough, we just need to analyze our sketch and find the direction of the slope. The line has a positive slope, meaning that the line will increase in Y and X, or decrease in Y and X. With that knowledge, we know that our Y-intercept will be higher than the current Y value of our point.

We can immediately Eliminate ๐Ÿง A and B, since those points too low. Since the slope is 5/1, that means that the slope has a larger "rise" (in Y) than "run" (in X)! That means that our Y-intercept will be D. 11, since it is the highest value possible. Now we get to mark that and move on!


๐Ÿ“ฒ Calculate

This is less of a strategy and more of an overall tip for the SAT Math Calculator (Section 4) ๐Ÿ’ก

While you are allowed to use your calculator for all of section 4, one of the biggest issues is knowing when to use your calculator and when not to! While when to use a calculator is slightly a personal decision, we have a general rule of thumb for recognizing when it's needed:

There is no practice problem to review this strategy so just use this strategy when you need it. When you see $1463 times 17 on your SAT, you probably need a calculator, but some people might not so learn your own strengths and weaknesses before your SAT!


๐Ÿ’ซ Closing

As you embark on your SAT Math journey, remember these five major strategies that'll save time and prevent mistakes. You got this, now is your time to shine! Believe in yourself. Best of luck on your SAT Math journey! You've got this! ๐Ÿ’ซ

Fiveable SAT Math: Tips and Tricks

8 min readโ€ขaugust 3, 2023

Debdutta Mandal

Debdutta Mandal

Zaina Siddiqi

Zaina Siddiqi

Debdutta Mandal

Debdutta Mandal

Zaina Siddiqi

Zaina Siddiqi

๐Ÿ“ข SAT Math: Tips and Tricks

The SAT Math test consists of 58 questions divided into two sections:

  • โœ๐Ÿผ Section 3 of the SAT: 20 questions, non-calculator, in 25 minutes.

  • ๐Ÿงฎ Section 4 of the SAT: 38 questions with a calculator in 55 minutes.

The test will go by fast, so it's important to keep calm. We're going to give you some tips to keep in mind as you work on the math sections.

5๏ธโƒฃ Major SAT Math Strategies

Here is a quick run-down of the 5 major strategies we'll be discussing:

  1. ๐Ÿ”š The End: Make sure to answer what the question is asking.

  2. ๐Ÿ”ŒThe Plug: Substitute real numbers for the variables and check against the answer choices.

  3. โฌ‡๏ธ Break it Down: Piece together the problem from solvable pieces instead of all at once.

  4. ๐Ÿ‘‰๐Ÿ‘ˆ Close Enough: Eliminate answers that are wayy too big or small; find the medium.

  5. ๐Ÿ“ฒ Calculate: Only use your calculator when you need it for complex equations with big numbers.

Now, let's go through these one-by-one with practice questions ๐Ÿ‘Ÿ


๐Ÿงฐ SAT Math Strategy Toolbox

๐Ÿ”š The End

This strategy makes you slow down to make sure that you are actually solving the question that you are supposed to be answering. It might seem like common sense, but using this one tip can actually help you increase your score and stop making simple mistakes ๐Ÿ˜ข

WOW. This might not seem revolutionary, but everyone has made this mistake before by rushing and starting to solve the problem before you even get to the "?". Look at the example below for ideas on how this strategy might help.

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-IvDLAtJLwWpj.png?alt=media&token=07a34050-7155-4690-81d3-8c0f56a6edd9

Courtesy of SAT Practice Test 9 - Section 3 - NO CALCULATOR

You got an answer of 0.5, which is the correct answer for x, so why did you get it wrong? You didn't use ๐Ÿ”š The End! So let's go back to the question, and try using the strategy.

The question asked you for the answer to 2x+1, not just x ๐Ÿ˜ญ. If you read the question before you started working the problem, you would have seen that the correct answer would be x=2 and not x=0.5.

Make sure to use ๐Ÿ”š The End so that you don't miss any more easy-level questions because of reading errors!


๐Ÿ”Œ The Plug

This strategy has 2 applications for you, as it is one of the most versatile strategies for the math section. Make sure to keep this one handy. Let's differentiate between the 2 applications by calling them The OG Plug and The Plug 5.0.

The OG Plug

This strategy can help you solve almost any problem in this section involving variables and especially problems with more than 1 use of a variable! Let's look at a practice problem together to look at this strategy in action:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-6BormLzmun27.png?alt=media&token=ba816663-ced1-4119-bbc4-055a435bbe06

Image Courtesy of SAT Practice Test 1 - Section 3 - NO CALCULATOR

If you try to solve this problem with your Algebra 2 knowledge, it can get really complicated with fractions and double variables ๐Ÿ˜ณ

  1. However, ๐Ÿ”ŒThe OG Plug can make this problem super simple for most people! Since the problem says that x > 3, then we just need to pick a value for X greater than 3 to plug in.

  2. So, let's pick 4 for x!

  3. When we use ๐Ÿ”ŒThe OG Plug with x=4, then we get 42/13.

  4. Now, all we have to do is plug in our number for x in all of the answer choices and see what matches the problem. ๐Ÿ‘

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-3moKzyojRXbl.PNG?alt=media&token=54f2c795-cd98-4f1f-a96c-b47e6aacf63b

Answer B solves for 42/13 which is equal to our solution to the original problem.๏ธ

If you used algebra and added the fractions with the FOIL method and too many other steps, then you should reach the same conclusion!

The Plug 5.0

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-fznagGDYhk9k.png?alt=media&token=c62fa28a-2a83-457c-abc2-a4ae1ee2fd14

Image Courtesy of SAT Practice Test 1 - Section 3 - NO CALCULATOR

If you try solving this system with elimination or substitution, you will end up with some really big numbers, or it will take a long time with lots of algebra! But using ๐Ÿ”ŒThe Plug 5.0, the answers can tell us which one is correct ๐ŸŽŠ !!

We just need to plug in the ordered pairs for X and Y for each answer choice and check which pair solves both equations! Let's start with letter B in the second equation. Now we get that:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-dmY9NiZva5xG.PNG?alt=media&token=52cb9528-3e8f-4ac3-a538-83e45db88af1

That equation is true! Since we picked an awesome โœจ answer choice to start with, let's just double-check the first equation before marking the correct answer

When we plug in (3,-8) to the first equation, we get that:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-2dO4Vm0Vme9j.PNG?alt=media&token=fd6ba564-2912-4699-956e-74ea5eccb4fa

which is also true ๐ŸŽ‰!! That means that Answer Choice B is correct. Let's mark that and move on without using any algebra, saving us lots of time! ๐Ÿ˜Ž


โฌ‡๏ธ Break it Down

This strategy helps you break up complex questions in the SAT Math section. Break it Down ๐Ÿ’” can help you answer questions that have too many variables or have tons of fractions by solving parts of an equation to put them back together.

This strategy can help you solve almost any problem in this section involving:

  • Multiple variables

  • Fractions

  • Percentages

  • Ratios

Let's look at a practice problem together to look at this strategy in action:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-YvLBDKP7WhEx.png?alt=media&token=6159bb93-0827-4f21-ab02-fa44f9d0cd0e

Image Courtesy of SAT Practice Test 1 - Section 4 - CALCULATOR

When you read this question, it might be nice to use the Rephrase Global Strategy ๐ŸŒ, but you can solve it just as easily with โฌ‡๏ธ Break it Down. So, the first thing that we need to do is define the variables and the percentages.

๐Ÿง  We know that:

  • p = new price

  • there was a 20% discount on p

  • there was an 8% sales tax applied

Those 3 pieces of knowledge (plus defining variable o = original price) are how we are going to โฌ‡๏ธ Break it Down ๐Ÿ˜Ž.

  1. Our first step is that 20% off means that we will be subtracting from the original price.

    1. We now know that p=0.8* o!

    2. We also know that there is a sales tax of 8% so that would be adding to price. So, we know that p = 1.08 * 0.8 * o!

  2. Now all we need to do is take the equation and put it in terms of p.

    1. So if we divide both sides by (1.08 * 0.8),

    2. Then we get that D*p/(0.8*1.08) is the correct answer

๐Ÿ™‹ Time to mark that and move on.


๐Ÿ‘‰๐Ÿ‘ˆ Close Enough

This strategy is a huge time-saver when you are taking your SAT Math. Close Enough can help you eliminate answers and easily see the correct one ๐Ÿ‘

This strategy can help you solve almost any problem in this section involving difficult concepts and is especially useful for multi-step problems. Let's look at a practice problem together:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-OXnLFDxFwuyu.png?alt=media&token=1fd73374-ca12-4ca2-b98e-3ebc479d3fb7

Image Courtesy of PSAT Practice Test 2 - Section 4 - CALCULATOR

When you start this problem the BIGGEST TIP ๐Ÿ’ก(besides ๐Ÿ‘‰๐Ÿ‘ˆ Close Enough) is to ๐ŸŽจ Sketch it Out! Whenever you have a problem that involves an equation with an ordered pair (or a graph without one given), you should ๐ŸŽจ Sketch it Out! on a hand-drawn graph!

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-YBtFNgV2P35Y.png?alt=media&token=076b09a9-3f8f-447f-9cd9-f79e9fe2c09a

๐ŸŽจ Sketch it Out : Self-Created; This graph shows you that you drawing don't have to be perfect to get the idea!

To use ๐Ÿ‘‰๐Ÿ‘ˆ Close Enough, we just need to analyze our sketch and find the direction of the slope. The line has a positive slope, meaning that the line will increase in Y and X, or decrease in Y and X. With that knowledge, we know that our Y-intercept will be higher than the current Y value of our point.

We can immediately Eliminate ๐Ÿง A and B, since those points too low. Since the slope is 5/1, that means that the slope has a larger "rise" (in Y) than "run" (in X)! That means that our Y-intercept will be D. 11, since it is the highest value possible. Now we get to mark that and move on!


๐Ÿ“ฒ Calculate

This is less of a strategy and more of an overall tip for the SAT Math Calculator (Section 4) ๐Ÿ’ก

While you are allowed to use your calculator for all of section 4, one of the biggest issues is knowing when to use your calculator and when not to! While when to use a calculator is slightly a personal decision, we have a general rule of thumb for recognizing when it's needed:

There is no practice problem to review this strategy so just use this strategy when you need it. When you see $1463 times 17 on your SAT, you probably need a calculator, but some people might not so learn your own strengths and weaknesses before your SAT!


๐Ÿ’ซ Closing

As you embark on your SAT Math journey, remember these five major strategies that'll save time and prevent mistakes. You got this, now is your time to shine! Believe in yourself. Best of luck on your SAT Math journey! You've got this! ๐Ÿ’ซ



ยฉ 2024 Fiveable Inc. All rights reserved.

APยฎ and SATยฎ are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.


ยฉ 2024 Fiveable Inc. All rights reserved.

APยฎ and SATยฎ are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.