SAT Math Question Bank Sampler

50 official-style SAT Math questions with detailed solutions, categorized by difficulty and topic.

Questions mirror the latest SAT format
Detailed step-by-step solutions
Organized by topic and difficulty level
Tips for teaching each concept effectively

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What's Inside The Question Bank

Diverse Question Types

Multiple-choice, grid-in, and student-produced response questions covering all SAT Math topics.

Detailed Solutions

Step-by-step explanations with multiple solution approaches for each problem.

Teaching Tips

Pedagogical notes on how to effectively teach each concept to students.

Sample Question Preview

Question (Heart of Algebra):

The function f is defined by f(x) = 3x + 5. If f(a) = 20, what is the value of a?

A) 5
B) 15
C) 3
D) 5/3

Solution Approach:

Given information:

  • f(x) = 3x + 5
  • f(a) = 20

Step 1: Substitute f(a) = 20 into the function.

3a + 5 = 20

Step 2: Solve for a.

3a = 15

a = 5

Therefore, the answer is A) 5.

Teaching Tip:

When teaching function substitution, emphasize that f(a) means "the output of the function when the input is a." Have students practice by creating input-output tables for various values before solving for specific values.

This is just one of 50 questions included in the complete Question Bank Sampler.

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