SAT Practice Test 7 Math Answers Explained: All 44 Questions on Video
Σ
Sigma Prep
SAT Math Instructor · 10+ Years Experience
June 1, 2026·Updated October 16, 2026·4 min read
Official Practice Test 7's math section, every question, solved in one continuous run with the fastest method for each. On this test that is very often Desmos: type it in, read the answer off the graph, move on.
By your fourth or fifth full test, the question types should be starting to look familiar. So Test 7 review is not only about which questions you missed. It is about which questions you got right slowly.
Here is the audit: for each question, compare how long your route took against the route in the video. Anywhere the video finishes in twenty seconds and you spent two minutes, you have found banked time, and banked time is what lets you give the last five questions of Module 2 the attention they need. Usually the gap is a Desmos move you were not using, which is exactly the advantage we broke down here.
New to reviewing tests this way? The full method is in the Test 4 post.
All 44 Practice Test 7 Math Questions, One at a Time
Every math question from official Practice Test 7, 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
1
Practice Test 7, Module 1, Question 1Linear equations in one variable
Answer A
How it's solved: Spot the per-unit rate as the coefficient of the variable and the one-time cost as the added constant.
2
Practice Test 7, Module 1, Question 2Linear functions
Answer C
How it's solved: Enter the function in Desmos and evaluate it at the given input.
3
Practice Test 7, Module 1, Question 3Nonlinear functions
Answer A
How it's solved: Interpret the y-intercept as the initial value, where the input is zero, and read it off the graph.
4
Practice Test 7, Module 1, Question 4Nonlinear equations in one variable and systems of equations in two variables
Answer B
How it's solved: Type the equation into Desmos with x as the variable and zoom in on the solution.
5
Practice Test 7, Module 1, Question 5Lines, angles, and triangles
Answer B
How it's solved: Congruent triangles have equal corresponding angles, so match the vertex pairs and carry over the known angle.
6
Practice Test 7, Module 1, Question 6Nonlinear functions
Answer B
How it's solved: Treat the lower starting point as a vertical shift down, then look for the graph whose y-intercept moved to match.
7
Practice Test 7, Module 1, Question 7Ratios, rates, proportional relationships, and units
Answer 90
How it's solved: Write the ratio as equal fractions in Desmos and plug in the known value. Flipping both fractions makes the result clickable.
8
Practice Test 7, Module 1, Question 8Linear equations in two variables
Answer D
How it's solved: Reason about units: each coefficient is points per token, so subtract the two coefficients. No solving required.
9
Practice Test 7, Module 1, Question 9Nonlinear equations in one variable and systems of equations in two variables
Answer C
How it's solved: Type the rational equation into Desmos and zoom in to read the x-value of the solution.
10
Practice Test 7, Module 1, Question 10Nonlinear equations in one variable and systems of equations in two variables
Answer D
How it's solved: Subtract b from both sides of the equation so the requested expression stands alone.
11
Practice Test 7, Module 1, Question 11Nonlinear functions
Answer 14 or -5 or -4
How it's solved: Graph the function in Desmos, zoom out to see every x-intercept, and enter any one of them.
12
Practice Test 7, Module 1, Question 12Nonlinear functions
Answer 11/4 or 2.75
How it's solved: Another direct evaluation: define the function in Desmos and request the output at the given input.
13
Practice Test 7, Module 1, Question 13Circles
Answer A
How it's solved: Use standard circle form: flip the signs inside the parentheses for the center and take the square root of the right side for the radius.
14
Practice Test 7, Module 1, Question 14Area and volume
Answer 4.41 or 441/100
How it's solved: Apply area equals pi r squared, square the radius, and leave pi out since the answer is its coefficient.
15
Practice Test 7, Module 1, Question 15Two-variable data: models and scatterplots
Answer 5
How it's solved: Average rate of change means slope. Enter the two points into a Desmos table and run a linear regression.
16
Practice Test 7, Module 1, Question 16Systems of two linear equations in two variables
Answer D
How it's solved: Graph both lines in Desmos, take the intersection's x-value, and multiply by the requested factor.
17
Practice Test 7, Module 1, Question 17Nonlinear functions
Answer B
How it's solved: Recognize the base as the growth factor, so one full growth period happens when the exponent equals one. Solve for that input mentally.
18
Practice Test 7, Module 1, Question 18Linear equations in one variable
Answer 11
How it's solved: Solve the equation in Desmos for x, then substitute that value into the requested expression.
19
Practice Test 7, Module 1, Question 19Percentages
Answer A
How it's solved: Use final equals original times one plus the rate, make the original x, and solve in Desmos instead of reversing the percent.
20
Practice Test 7, Module 1, Question 20Nonlinear equations in one variable and systems of equations in two variables
Answer 120
How it's solved: Match the given form to the quadratic formula, so k is the discriminant of the quadratic. Setting the smaller Desmos root equal to the form checks it.
21
Practice Test 7, Module 1, Question 21Linear functions
Answer A
How it's solved: An x-intercept means the output is zero, so pick the choice describing the input when the function equals zero.
22
Practice Test 7, Module 1, Question 22Right triangles and trigonometry
Answer C
How it's solved: Switch Desmos to degree mode, evaluate the expression as written, then test choices until one gives the same value.
Module 2
1
Practice Test 7, Module 2, Question 1One-variable data: distributions and measures of center and spread
Answer D
How it's solved: Read the height of the relevant bar directly off the graph.
2
Practice Test 7, Module 2, Question 2Two-variable data: models and scatterplots
Answer D
How it's solved: Pick two clear points on the line of best fit, run a linear regression in Desmos, and choose the closest slope.
3
Practice Test 7, Module 2, Question 3Percentages
Answer 110
How it's solved: Set up a part-over-whole proportion, or translate to a percent-of equation, and solve for the total in Desmos.
4
Practice Test 7, Module 2, Question 4Nonlinear functions
Answer D
How it's solved: Plot the table's points in Desmos, then graph each choice and keep the one passing through every point.
5
Practice Test 7, Module 2, Question 5Linear equations in one variable
Answer C
How it's solved: Solve the equation in Desmos for x, then multiply by the requested coefficient.
6
Practice Test 7, Module 2, Question 6Equivalent expressions
Answer A
How it's solved: Apply the quotient rule for exponents: subtract exponents of like bases, leaving each variable where its larger power was.
7
Practice Test 7, Module 2, Question 7Inference from sample statistics and margin of error
Answer A
How it's solved: Treat margin of error as plus or minus around the estimate to get a plausible range, and avoid choices that sound definite.
8
Practice Test 7, Module 2, Question 8Linear equations in one variable
Answer 42
How it's solved: Type the equation straight into Desmos and read the solution, taking care to enter the fractions correctly.
9
Practice Test 7, Module 2, Question 9Equivalent expressions
Answer C
How it's solved: Define both functions in Desmos, test each choice for b, and graph the product against the target polynomial until the curves overlap.
10
Practice Test 7, Module 2, Question 10Linear equations in two variables
Answer C
How it's solved: Parallel lines share a slope, and a line through the origin has no intercept. Write that line, then plug in the given x.
11
Practice Test 7, Module 2, Question 11Nonlinear functions
Answer B
How it's solved: Graph the quadratic in Desmos, click the minimum, and report the x-coordinate since the question asks for x.
12
Practice Test 7, Module 2, Question 12Lines, angles, and triangles
Answer 153
How it's solved: Sketch the triangle, use corresponding angles from the parallel segments, find the complementary angle, then subtract from 180 for the linear pair.
13
Practice Test 7, Module 2, Question 13Linear inequalities in one or two variables
Answer A
How it's solved: Represent consecutive odd integers as x plus successive even steps, write the fourth term, then translate the comparison wording into an inequality.
14
Practice Test 7, Module 2, Question 14Systems of two linear equations in two variables
Answer 0.2857 or 2/7
How it's solved: Infinitely many solutions means identical equations. Clear fractions, scale one equation to match the other, equate coefficients, and compute the ratio in Desmos.
15
Practice Test 7, Module 2, Question 15Linear equations in two variables
Answer B
How it's solved: Give s a test value in Desmos to plot the table, then graph choices to find the one passing through all points for any s.
16
Practice Test 7, Module 2, Question 16Nonlinear equations in one variable and systems of equations in two variables
Answer 17.5 or 35/2
How it's solved: Solve each equation for y, set them equal, and move everything to one side. Then set the discriminant to zero and solve in Desmos.
17
Practice Test 7, Module 2, Question 17Linear functions
Answer D
How it's solved: Plug the input into the function in Desmos for a quick evaluation.
18
Practice Test 7, Module 2, Question 18Nonlinear functions
Answer A
How it's solved: Let length be x, so the width is x minus the difference. Multiply for the area, then rearrange so the equation equals zero.
19
Practice Test 7, Module 2, Question 19Area and volume
Answer D
How it's solved: Use the base area to find the radius, plug it into the cone volume formula for the height, then apply the Pythagorean theorem for slant height.
20
Practice Test 7, Module 2, Question 20Systems of two linear equations in two variables
Answer D
How it's solved: Graph both equations in Desmos to see one shared line, pick a value for r, and test which choice's point lands on it.
21
Practice Test 7, Module 2, Question 21Linear functions
Answer A
How it's solved: Turn the pricing into two points, the first day and the second day, then run a linear regression in Desmos for the function.
22
Practice Test 7, Module 2, Question 22Ratios, rates, proportional relationships, and units
Answer B
How it's solved: Use dimensional analysis: convert meters to miles and seconds to minutes, squaring the time factor so the squared units cancel.
Practice Test 7 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 7 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 7
To retest without memory contamination, Sigma Prep's mock of Test 7 gives you the same blueprint with brand new problems, in three versions, video explanation on every question. The Test 4 mock is free: full-length timed practice tests. Start free today!
Common Questions
After you submit Practice Test 7 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 7 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 7 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 43 minutes like a movie.
Not as a measurement, because memory inflates the score. Sigma Prep Test 7 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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