SAT Math Practice Tests

These Grade 11 Additional Subjects practice tests cover SAT Math skills in Algebra, Advanced Math, Problem Solving and Data Analysis, Geometry, Trigonometry, and mixed real-world applications.

Skills covered

  • Solving linear equations, inequalities, systems, ratios, percentages, rates, and linear models
  • Working with quadratics, exponents, functions, rational expressions, composition, and exponential models
  • Analyzing statistics, regression, probability, expected value, residuals, and data displays
  • Applying area, volume, similarity, circles, coordinate geometry, right triangles, and trigonometric ratios
  • Using LaTeX-style mathematical notation for equations, fractions, exponents, and geometric relationships

How to use these practice tests

Translate the wording into a mathematical relationship before calculating. Check units, signs, scale, and whether the problem asks for a value, rate, percentage, probability, or interval.

For more Grade 11 Additional Subjects practice, return to the Grade 11 Additional Subjects category.

2. Test

Grade 11 SAT Math Practice Tests

Practice Grade 11 Additional Subjects questions for SAT Math covering algebra, advanced math, problem solving and data analysis, geometry, trigonometry, and mixed applications.

Choose the best answer. Translate the problem into an equation, relationship, table, graph, or geometric rule, then solve and check the requested quantity.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What are the solutions of x2−9=0x^2-9=0?

Please select an answer first.

Correct answer: A

The correct answer is x=3x=3 or x=−3x=-3.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Factor as (x−3)(x+3)=0(x-3)(x+3)=0, so the two solutions are 3 and −3-3.
  3. Match the requested quantity: The correct answer is x=3x=3 or x=−3x=-3.

Factor as (x−3)(x+3)=0(x-3)(x+3)=0, so the two solutions are 3 and −3-3.

2. QuestionMultiple choice

What is the vertex of y=(x−2)2+5y=(x-2)^2+5?

Please select an answer first.

Correct answer: B

The correct answer is (2,5)(2,5).

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: The vertex form y=(x−h)2+ky=(x-h)^2+k has vertex (h,k)(h,k), giving (2,5)(2,5).
  3. Match the requested quantity: The correct answer is (2,5)(2,5).

The vertex form y=(x−h)2+ky=(x-h)^2+k has vertex (h,k)(h,k), giving (2,5)(2,5).

3. QuestionMultiple choice

What is the value of xx if 2x=162^x=16?

Please select an answer first.

Correct answer: C

The correct answer is 4.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Since 16=2416=2^4, the exponent must be x=4x=4.
  3. Match the requested quantity: The correct answer is 4.

Since 16=2416=2^4, the exponent must be x=4x=4.

4. QuestionMultiple choice

If f(x)=x2−2xf(x)=x^2-2x, what is f(3)f(3)?

Please select an answer first.

Correct answer: D

The correct answer is 3.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Substitute 3: f(3)=32−2(3)=9−6=3f(3)=3^2-2(3)=9-6=3.
  3. Match the requested quantity: The correct answer is 3.

Substitute 3: f(3)=32−2(3)=9−6=3f(3)=3^2-2(3)=9-6=3.

5. QuestionMultiple choice

Which is a factorization of x2+5x+6x^2+5x+6?

Please select an answer first.

Correct answer: A

The correct answer is (x+2)(x+3)(x+2)(x+3).

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: The factors 2 and 3 multiply to 6 and add to 5, so x2+5x+6=(x+2)(x+3)x^2+5x+6=(x+2)(x+3).
  3. Match the requested quantity: The correct answer is (x+2)(x+3)(x+2)(x+3).

The factors 2 and 3 multiply to 6 and add to 5, so x2+5x+6=(x+2)(x+3)x^2+5x+6=(x+2)(x+3).

6. QuestionMultiple choice

What is the discriminant of 2x2+4x+1=02x^2+4x+1=0?

Please select an answer first.

Correct answer: B

The correct answer is 8.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Using b2−4acb^2-4ac, the discriminant is 42−4(2)(1)=16−8=84^2-4(2)(1)=16-8=8.
  3. Match the requested quantity: The correct answer is 8.

Using b2−4acb^2-4ac, the discriminant is 42−4(2)(1)=16−8=84^2-4(2)(1)=16-8=8.

7. QuestionMultiple choice

If f(x)=2x+1f(x)=2x+1 and g(x)=x2g(x)=x^2, what is f(g(3))f(g(3))?

Please select an answer first.

Correct answer: C

The correct answer is 19.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: First calculate g(3)=9g(3)=9, then f(9)=2(9)+1=19f(9)=2(9)+1=19.
  3. Match the requested quantity: The correct answer is 19.

First calculate g(3)=9g(3)=9, then f(9)=2(9)+1=19f(9)=2(9)+1=19.

8. QuestionMultiple choice

A quantity follows Q=800(0.5)tQ=800(0.5)^t. What is QQ when t=3t=3?

Please select an answer first.

Correct answer: D

The correct answer is 100.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Evaluate 800(0.5)3=800(18)=100800(0.5)^3=800\left(\frac{1}{8}\right)=100.
  3. Match the requested quantity: The correct answer is 100.

Evaluate 800(0.5)3=800(18)=100800(0.5)^3=800\left(\frac{1}{8}\right)=100.

9. QuestionMultiple choice

What are the zeros of x2−4x+3x^2-4x+3?

Please select an answer first.

Correct answer: A

The correct answer is 1 and 3.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Factor as (x−1)(x−3)=0(x-1)(x-3)=0, so the zeros are 1 and 3.
  3. Match the requested quantity: The correct answer is 1 and 3.

Factor as (x−1)(x−3)=0(x-1)(x-3)=0, so the zeros are 1 and 3.

10. QuestionMultiple choice

For which value is 1x−4\frac{1}{x-4} undefined?

Please select an answer first.

Correct answer: B

The correct answer is 4.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: A rational expression is undefined when its denominator is zero; x−4=0x-4=0 gives x=4x=4.
  3. Match the requested quantity: The correct answer is 4.

A rational expression is undefined when its denominator is zero; x−4=0x-4=0 gives x=4x=4.