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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.

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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 is the value of xx in x4+3=8\frac{x}{4}+3=8?

Please select an answer first.

Correct answer: A

The correct answer is 20.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Subtract 3 to get x4=5\frac{x}{4}=5, then multiply by 4 to obtain x=20x=20.
  3. Match the requested quantity: The correct answer is 20.

Subtract 3 to get x4=5\frac{x}{4}=5, then multiply by 4 to obtain x=20x=20.

2. QuestionMultiple choice

If 1 inch represents 25 miles on a map, how many miles are represented by 3.2 inches?

Please select an answer first.

Correct answer: B

The correct answer is 80 miles.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Multiply the scale: 3.2(25)=803.2(25)=80 miles.
  3. Match the requested quantity: The correct answer is 80 miles.

Multiply the scale: 3.2(25)=803.2(25)=80 miles.

3. QuestionMultiple choice

For the data set 2, 4, 7, 9, 12, 15, what is the interquartile range?

Please select an answer first.

Correct answer: C

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: The lower-half median is 4 and the upper-half median is 12, so IQR=12−4=8IQR=12-4=8.
  3. Match the requested quantity: The correct answer is 8.

The lower-half median is 4 and the upper-half median is 12, so IQR=12−4=8IQR=12-4=8.

4. QuestionMultiple choice

A regression model predicts a value of 18 when the actual value is 21. What is the residual?

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: Residual equals actual minus predicted: 21−18=321-18=3.
  3. Match the requested quantity: The correct answer is 3.

Residual equals actual minus predicted: 21−18=321-18=3.

5. QuestionMultiple choice

If f(x)=x+4f(x)=x+4, which expression represents the inverse function?

Please select an answer first.

Correct answer: A

The correct answer is f−1(x)=x−4f^{-1}(x)=x-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: Let y=x+4y=x+4, switch variables, and solve: x=y+4x=y+4 gives y=x−4y=x-4.
  3. Match the requested quantity: The correct answer is f−1(x)=x−4f^{-1}(x)=x-4.

Let y=x+4y=x+4, switch variables, and solve: x=y+4x=y+4 gives y=x−4y=x-4.

6. QuestionMultiple choice

What is the average rate of change of f(x)=x2f(x)=x^2 from x=1x=1 to x=4x=4?

Please select an answer first.

Correct answer: B

The correct answer is 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: Compute f(4)−f(1)4−1=16−13=5\frac{f(4)-f(1)}{4-1}=\frac{16-1}{3}=5.
  3. Match the requested quantity: The correct answer is 5.

Compute f(4)−f(1)4−1=16−13=5\frac{f(4)-f(1)}{4-1}=\frac{16-1}{3}=5.

7. QuestionMultiple choice

How many solutions does the system y=2x+1y=2x+1 and y=2x−3y=2x-3 have?

Please select an answer first.

Correct answer: C

The correct answer is No solutions.

  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 lines have the same slope but different intercepts, so they are parallel and never intersect.
  3. Match the requested quantity: The correct answer is No solutions.

The lines have the same slope but different intercepts, so they are parallel and never intersect.

8. QuestionMultiple choice

A game pays 10 points with probability 0.2 and 0 points otherwise. What is the expected value?

Please select an answer first.

Correct answer: D

The correct answer is 2 points.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Expected value is 10(0.2)+0(0.8)=210(0.2)+0(0.8)=2 points.
  3. Match the requested quantity: The correct answer is 2 points.

Expected value is 10(0.2)+0(0.8)=210(0.2)+0(0.8)=2 points.

9. QuestionMultiple choice

What is the range of y=∣x∣+2y=|x|+2?

Please select an answer first.

Correct answer: A

The correct answer is y≥2y\ge2.

  1. Translate the prompt: Write the given relationship, equation, table, or geometric rule in a form that can be solved.
  2. Solve and check: Because ∣x∣≥0|x|\ge0, the smallest possible value is 2 and the range is y≥2y\ge2.
  3. Match the requested quantity: The correct answer is y≥2y\ge2.

Because ∣x∣≥0|x|\ge0, the smallest possible value is 2 and the range is y≥2y\ge2.

10. QuestionMultiple choice

An exponential model has initial value 300 and growth factor 1.1 per year. What is its value after 2 years?

Please select an answer first.

Correct answer: B

The correct answer is 363.

  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 300(1.1)2=300(1.21)=363300(1.1)^2=300(1.21)=363.
  3. Match the requested quantity: The correct answer is 363.

Evaluate 300(1.1)2=300(1.21)=363300(1.1)^2=300(1.21)=363.

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