SAT Advanced Math. Practice it free.

Measures skills and knowledge central for progression to more advanced math courses, including demonstrating an understanding of absolute value, quadratic, exponential, polynomial, rational, radical, and other nonlinear equations. This All grades reporting domain maps to 37 practice skills and 8 representative questions from the playable bank.

SAT (college entrance; typically grades 11-12)37 mapped skills

What the test measures

Advanced Math skills

Equivalent expressions
Nonlinear equations in one variable and systems of equations in two variables
Nonlinear functions

Standards basis

Common Core State Standards (CCSS-M)-aligned college- and career-ready math content — national

How the SAT reports it

The SAT Math section uses College Board’s SAT Suite content-domains framework, with a single fixed set of four math domains used across SAT suite tests. It is aligned to college- and career-ready math content rather than a state-specific framework and is commonly presented as Common Core–aligned in the underlying skills coverage.

Blueprint & weighting

College Board publishes the question distribution per domain for the digital SAT Math section: Algebra ≈35% (13–15 questions), Advanced Math ≈35% (13–15 questions), Problem-Solving and Data Analysis ≈15% (5–7 questions), Geometry and Trigonometry ≈15% (5–7 questions) of 44 questions total, split across 2 modules, with calculators allowed throughout.

Official sources

College Board — What Are Content Domains?
College Board — The Math Section
College Board — SAT

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playmedium

A line has slope $-4$ and passes through the point $(1, 5)$ . Which equation represents this line in standard form?

First write slope-intercept form: $5 = -4(1) + b$ gives $b = 9$ , so $y = -4x + 9$ . Rearranging into standard form gives $4x + y = 9\textsf{.}$

Practice playeasy

How many distinct real roots does $x^{2} - 25 = 0$ have?

Here $a = 1$ , $b = 0$ , and $c = -25$ . Substituting into $b^{2} - 4ac$ gives $0^{2} - 4(1)(-25) = 100\textsf{,}$ so there are $2$ distinct real roots.

Practice playeasy

How many distinct real solutions does $x^{2} + 6x + 9 = 0$ have?

Here $a = 1$ , $b = 6$ , and $c = 9$ . Substituting into $b^{2} - 4ac$ gives $6^{2} - 4(1)(9) = 0$ , so there is exactly $1$ distinct real solution.

Practice playmedium

The line $y=x-4$ and the parabola $y=-x^{2}+5x-4$ intersect at one of these $(x,y)$ points. Which one?

Set the expressions equal: $x-4=-x^{2}+5x-4$ , so $0=-x^{2}+4x$ . Then $0=-x(x-4)$ , and $x=0$ or $x=4$ . For $x=4$ , $y=4-4=0$ , so one intersection point is $(4,0)\textsf{.}$

Practice playmedium

How many distinct real solutions does the equation $3(x + 2)^{2} + 15 = 0$ have?

Subtract $15$ : $3(x + 2)^{2} = -15\textsf{.}$ Divide by $3$ : $(x + 2)^{2} = -5\textsf{.}$ A real number squared cannot be negative, so there are $0$ distinct real solutions.

Practice playhard

If $\dfrac{7x - y}{x + 2y} = \dfrac{5}{3}$ , then $\dfrac{x}{y}=$

Cross-multiply to clear the fraction: $3(7x - y) = 5(x + 2y)$ , so $21x - 3y = 5x + 10y$ . Collect like terms to get $16x = 13y$ . Divide both sides by $y$ , then by $16$ , to obtain $\dfrac{x}{y} = \dfrac{13}{16}\textsf{.}$

Practice playeasy

If $\dfrac{(x+7)(x+1)}{x+7} = -2$ and $x \neq -7\textsf{,}$ what is the value of $x\textsf{?}$

For $x \neq -7$ , the factor $x+7$ cancels, giving $x+1 = -2$ , so $x = -3\textsf{.}$

Practice playeasy

What is the positive solution of $2x^{2} - x - 15 = 0\textsf{?}$

The quadratic factors as $(2x + 5)(x - 3) = 0\textsf{.}$ By the zero-product property, $2x + 5 = 0$ or $x - 3 = 0\textsf{,}$ so $x = -\dfrac{5}{2}$ or $x = 3\textsf{.}$ The positive solution is $3\textsf{.}$