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