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SAT Practice Test 8 Math Answers Explained: All 44 Questions on Video

Sigma Prep

SAT Math Instructor · 10+ Years Experience

July 18, 2026·Updated October 16, 2026·4 min read

The complete math section of official Practice Test 8, solved in real time with no cuts. Wherever Desmos can replace algebra, you will see the Desmos route, because that is the route worth learning.

Jump to: Module 1 (0:25) · Module 2 (23:34) · 55 minutes in all, 22 questions per module.

If You Miss the Hard Questions at the End of Module 2

Look at where your Test 8 misses landed. If they cluster in the back half of Module 2, that is where the hardest questions live, and missing them usually means you do not know those hard question types well enough yet. It is rarely about being tired. A student who knows a type recognizes it in seconds; a student who half-knows it burns two minutes and still guesses.

So for each of those misses, watch the clip below and ask: had I seen this type before, and did I know the move? Then practice that type until you recognize it on sight. Sigma Prep lets you drill every skill at hard difficulty, with a video on every question, and we broke down the hard types that show up back there. The review method itself is in the Test 4 post.

All 44 Practice Test 8 Math Questions, One at a Time

Every math question from official Practice Test 8, in order, as it appears in the walkthrough. Each one has the correct answer, how it's solved, and a clip of just that question.

Module 1

Practice Test 8, Module 1, Question 1Nonlinear functions
Answer D
How it's solved: Graph it in Desmos and read off where the curve crosses the y-axis.
Practice Test 8, Module 1, Question 2Linear functions
Answer D
How it's solved: Type the function into Desmos and evaluate it at the given input. Mental math works too.
Practice Test 8, Module 1, Question 3Linear equations in two variables
Answer D
How it's solved: A reading translation: pair each variable with its unit size, add the two terms, and set the sum equal to the total.
Practice Test 8, Module 1, Question 4Linear equations in one variable
Answer D
How it's solved: Mental math. Find the total change, then multiply by the time each unit of change takes.
Practice Test 8, Module 1, Question 5One-variable data: distributions and measures of center and spread
Answer B
How it's solved: Think of standard deviation as spread. The two plots have identical shapes and spacing, which a quick Desmos stdev check confirms.
Practice Test 8, Module 1, Question 6Equivalent expressions
Answer A
How it's solved: Combine like terms by hand, distributing the negative to every term. Desmos can confirm by graphing the expression against the choices.
Practice Test 8, Module 1, Question 7Lines, angles, and triangles
Answer C
How it's solved: Angles in a triangle sum to 180. Subtract the known angles, then multiply to undo the fraction.
Practice Test 8, Module 1, Question 8Nonlinear equations in one variable and systems of equations in two variables
Answer B
How it's solved: Enter the equation in Desmos; each vertical line it draws is a solution. Zoom in to read the values.
Practice Test 8, Module 1, Question 9Linear equations in two variables
Answer 46
How it's solved: Mental math: subtract the known part from the total to get the missing part.
Practice Test 8, Module 1, Question 10Ratios, rates, proportional relationships, and units
Answer D
How it's solved: Dimensional analysis. Chain the conversion factors so each unit cancels, then multiply out.
Practice Test 8, Module 1, Question 11Systems of two linear equations in two variables
Answer A
How it's solved: Equal slopes with different intercepts mean parallel lines. Graphing both in Desmos confirms they never meet.
Practice Test 8, Module 1, Question 12Percentages
Answer 52
How it's solved: Translate word by word: "is" becomes equals, the percent goes over 100, "of" means multiply. Desmos solves it.
Practice Test 8, Module 1, Question 13Nonlinear functions
Answer 410
How it's solved: Read the exponential form. The base inside is the doubling factor, so find the input that makes the exponent equal 1.
Practice Test 8, Module 1, Question 14Two-variable data: models and scatterplots
Answer C
How it's solved: A constant percent increase each period signals an increasing exponential model.
Practice Test 8, Module 1, Question 15Circles
Answer 5
How it's solved: Plot the endpoints and halve the diameter, or plug one endpoint into the circle equation to get r squared.
Practice Test 8, Module 1, Question 16Right triangles and trigonometry
Answer B
How it's solved: Sketch the triangle with the right angle at the third vertex. SOHCAHTOA shows the cosine of one acute angle equals the sine of the other.
Practice Test 8, Module 1, Question 17Nonlinear equations in one variable and systems of equations in two variables
Answer A
How it's solved: Clear the fraction and divide to isolate the target expression. Desmos can check by swapping letters for x, y and a test number.
Practice Test 8, Module 1, Question 18Linear inequalities in one or two variables
Answer D
How it's solved: Graph the inequality in Desmos, add each table as points, and keep the choice whose points all sit inside the shaded region.
Practice Test 8, Module 1, Question 19Linear equations in two variables
Answer 0.25 or 1/4
How it's solved: Rearrange into slope-intercept form to read the slope, then take the opposite reciprocal for the perpendicular line.
Practice Test 8, Module 1, Question 20Nonlinear functions
Answer B
How it's solved: Pick two different positive values for the constants, graph it in Desmos, and count the distinct x-intercepts.
Practice Test 8, Module 1, Question 21Nonlinear functions
Answer C
How it's solved: Find the output named in the setup by evaluating each form in Desmos, then pick the form where that value appears as the coefficient or base.
Practice Test 8, Module 1, Question 22Nonlinear functions
Answer A
How it's solved: Enter the shifted function in Desmos and click the vertex to read the x-value of the minimum.

Module 2

Practice Test 8, Module 2, Question 1Linear equations in one variable
Answer C
How it's solved: Subtract to isolate the x-term, or graph each choice in Desmos and match its solution to the original's.
Practice Test 8, Module 2, Question 2Linear functions
Answer C
How it's solved: Identify what each variable means, substitute the given value for x, and evaluate.
Practice Test 8, Module 2, Question 3Linear equations in two variables
Answer A
How it's solved: Isolate y first, then subtract the shift at the end and click the new y-intercept in Desmos.
Practice Test 8, Module 2, Question 4Linear functions
Answer B
How it's solved: A linear function's constant term is its y-intercept. You can also click the intercept in Desmos.
Practice Test 8, Module 2, Question 5Linear equations in two variables
Answer B
How it's solved: Graph each choice in Desmos and keep the one with the same direction and the same intercepts as the given line.
Practice Test 8, Module 2, Question 6Systems of two linear equations in two variables
Answer D
How it's solved: Graph the system in Desmos, read the intersection point, and substitute both coordinates into the requested expression.
Practice Test 8, Module 2, Question 7Nonlinear functions
Answer B
How it's solved: Graph the function and its downward shift in Desmos, then add each table's points to see which all land on the shifted curve.
Practice Test 8, Module 2, Question 8Nonlinear functions
Answer C
How it's solved: Exponential decay: the base is 1 minus the percent as a decimal, and the starting value is the coefficient.
Practice Test 8, Module 2, Question 9Nonlinear functions
Answer 35
How it's solved: Recognize the context as a when-does-it-hit-zero question, so the answer is the positive x-intercept read straight from the factored form.
Practice Test 8, Module 2, Question 10Area and volume
Answer A
How it's solved: Use the reference sheet: cube volume minus sphere volume, computed in Desmos.
Practice Test 8, Module 2, Question 11Nonlinear equations in one variable and systems of equations in two variables
Answer 29/3 or 9.666 or 9.667
How it's solved: Type the equation into Desmos exactly as written, read both solutions, and add them without rounding.
Practice Test 8, Module 2, Question 12Linear inequalities in one or two variables
Answer C
How it's solved: Graph the inequality, plot each table's points, and reject any choice with a point on the dashed line or outside the shading.
Practice Test 8, Module 2, Question 13Circles
Answer B
How it's solved: The right side of the circle equation is r squared, so double the radius. Clicking the circle's top and bottom in Desmos confirms it.
Practice Test 8, Module 2, Question 14Nonlinear equations in one variable and systems of equations in two variables
Answer C
How it's solved: One solution means the discriminant equals zero. Enter it in Desmos with the constant as x and solve.
Practice Test 8, Module 2, Question 15Right triangles and trigonometry
Answer 338
How it's solved: Sketch the right triangle, write the missing leg with tangent, then set half the product of the legs equal to the given area form.
Practice Test 8, Module 2, Question 16Percentages
Answer 1.8 or 9/5
How it's solved: Write one percent equation per sentence. Apply the decrease first, then divide by 1 plus the increase to work backward to the starting value.
Practice Test 8, Module 2, Question 17Lines, angles, and triangles
Answer C
How it's solved: Sketch both triangles and recall the congruence theorems. With two angle pairs known, any matching pair of corresponding sides gives ASA or AAS.
Practice Test 8, Module 2, Question 18Systems of two linear equations in two variables
Answer -34
How it's solved: No solution means parallel lines. Match the two slopes algebraically, or slide the constant in Desmos until the lines are parallel.
Practice Test 8, Module 2, Question 19Equivalent expressions
Answer D
How it's solved: Use the known factor to build the other one, expand, and test positive integers until the middle coefficient matches a choice.
Practice Test 8, Module 2, Question 20Right triangles and trigonometry
Answer 104
How it's solved: Divide the perimeter for a side, drop the height to make a 30-60-90 triangle, and apply the special right triangle ratios.
Practice Test 8, Module 2, Question 21One-variable data: distributions and measures of center and spread
Answer B
How it's solved: Choose integer values at the bin edges that keep the two data sets as close as possible, then compare their means.
Practice Test 8, Module 2, Question 22Inference from sample statistics and margin of error
Answer B
How it's solved: Scale the sample proportions up to the full population and subtract, or scale the sample difference directly.

Practice Test 8 Answer Key and Scoring

The video shows how to get each answer. The official answer key comes from College Board:

In Bluebook and My Practice. Bluebook shows your score as soon as you submit. Your full results are in My Practice: every question, your answer, the correct answer and a written explanation.
On paper. College Board also posts a printable version of Practice Test 8 with an answer key, answer explanations and a scoring guide on its SAT Suite site.

Use My Practice to find which questions you missed, then come back here for the fastest way to solve them. To see what a given number of misses does to your score, use how many you can miss on SAT Math.

After Test 8

Sigma Prep's mock of Test 8 rebuilds the same test with new problems, three versions, video explanation on every question, so a retake actually measures something. The Test 4 mock is free: full-length timed practice tests. Start free today!

Common Questions

After you submit Practice Test 8 in Bluebook, your full results are in My Practice on the College Board site: every question, your answer, the correct answer and a written explanation. College Board also posts a printable version of Practice Test 8 with an answer key, answer explanations and a scoring guide. The video on this page adds the fastest way to solve each one.

On this page. Every one of the 44 math questions from Bluebook Practice Test 8 has its own section, from Module 1 Question 1 to Module 2 Question 22, with the correct answer, the skill it tests, how it is solved, and a video clip of just that question. The full walkthrough video above solves all 44 in order, often with Desmos rather than algebra.

Take the test timed in Bluebook first, score it, and pull out every question you missed or guessed on. Then jump to only those questions in the video and ask one thing for each: could I have recognized this setup, and did I know the move? Do not watch all 55 minutes like a movie.

Not as a measurement, because memory inflates the score. Sigma Prep Test 8 mirrors the official test question for question with fresh problems, in three versions, so you can check whether the skills are really there.

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SAT Practice Test 8 Math Answers Explained: All 44 Questions on Video

If You Miss the Hard Questions at the End of Module 2

All 44 Practice Test 8 Math Questions, One at a Time

Module 1

Practice Test 8, Module 1, Question 1Nonlinear functions

Practice Test 8, Module 1, Question 2Linear functions

Practice Test 8, Module 1, Question 3Linear equations in two variables

Practice Test 8, Module 1, Question 4Linear equations in one variable

Practice Test 8, Module 1, Question 5One-variable data: distributions and measures of center and spread

Practice Test 8, Module 1, Question 6Equivalent expressions

Practice Test 8, Module 1, Question 7Lines, angles, and triangles

Practice Test 8, Module 1, Question 8Nonlinear equations in one variable and systems of equations in two variables

Practice Test 8, Module 1, Question 9Linear equations in two variables

Practice Test 8, Module 1, Question 10Ratios, rates, proportional relationships, and units

Practice Test 8, Module 1, Question 11Systems of two linear equations in two variables

Practice Test 8, Module 1, Question 12Percentages

Practice Test 8, Module 1, Question 13Nonlinear functions

Practice Test 8, Module 1, Question 14Two-variable data: models and scatterplots

Practice Test 8, Module 1, Question 15Circles

Practice Test 8, Module 1, Question 16Right triangles and trigonometry

Practice Test 8, Module 1, Question 17Nonlinear equations in one variable and systems of equations in two variables

Practice Test 8, Module 1, Question 18Linear inequalities in one or two variables

Practice Test 8, Module 1, Question 19Linear equations in two variables

Practice Test 8, Module 1, Question 20Nonlinear functions

Practice Test 8, Module 1, Question 21Nonlinear functions

Practice Test 8, Module 1, Question 22Nonlinear functions

Module 2

Practice Test 8, Module 2, Question 1Linear equations in one variable

Practice Test 8, Module 2, Question 2Linear functions

Practice Test 8, Module 2, Question 3Linear equations in two variables

Practice Test 8, Module 2, Question 4Linear functions

Practice Test 8, Module 2, Question 5Linear equations in two variables

Practice Test 8, Module 2, Question 6Systems of two linear equations in two variables

Practice Test 8, Module 2, Question 7Nonlinear functions

Practice Test 8, Module 2, Question 8Nonlinear functions

Practice Test 8, Module 2, Question 9Nonlinear functions

Practice Test 8, Module 2, Question 10Area and volume

Practice Test 8, Module 2, Question 11Nonlinear equations in one variable and systems of equations in two variables

Practice Test 8, Module 2, Question 12Linear inequalities in one or two variables

Practice Test 8, Module 2, Question 13Circles

Practice Test 8, Module 2, Question 14Nonlinear equations in one variable and systems of equations in two variables

Practice Test 8, Module 2, Question 15Right triangles and trigonometry

Practice Test 8, Module 2, Question 16Percentages

Practice Test 8, Module 2, Question 17Lines, angles, and triangles

Practice Test 8, Module 2, Question 18Systems of two linear equations in two variables

Practice Test 8, Module 2, Question 19Equivalent expressions

Practice Test 8, Module 2, Question 20Right triangles and trigonometry

Practice Test 8, Module 2, Question 21One-variable data: distributions and measures of center and spread

Practice Test 8, Module 2, Question 22Inference from sample statistics and margin of error

Practice Test 8 Answer Key and Scoring

After Test 8

Common Questions

Where is the answer key for SAT Practice Test 8?+

Where can I find explanations for SAT Practice Test 8 Math?+

How should I use the Practice Test 8 walkthrough video?+

Can I retake Bluebook Practice Test 8?+

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