Question 1EasyMultiple Choice
Which value of makes the equation true?
Correct answer: C.
This explanation shows one way to solve the problem.
- Subtract 10 from both sides:
- Simplify:
Final Answer
x = 7
MA.6.AR.2.1 · Algebraic Reasoning
Testing Values in Equations and Inequalities: Sample FAST Questions
Given an equation or inequality and a specific set of integer values, students determine which values make the statement true and which make it false. For example, from the set {2, 4, 6} they test which values satisfy 3x + 1 > 10. This builds the idea that a solution is a value that makes a statement true.
How the FAST tests this benchmark
FAST items here are often multiselect questions asking students to choose every value from a list that satisfies an equation or inequality, along with single-answer multiple choice versions.
Skills students need
- Determine which values from a set make an equation true or false
- Determine which values from a set make an inequality true or false
Try 4 real MA.6.AR.2.1 questions
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Question 2MediumMultiple Select
Select ALL values of that satisfy the inequality .
Select every answer that applies, then check.
Correct answer: A, B, C, D (highlighted above)
This explanation shows one way to solve the problem.
- Subtract 3 from both sides: →
- Divide both sides by 4: →
- Check each option: ✓. ✓. ✓. ✓. ✗.
Final Answer
x = 1, x = 2, x = 3, x = 4
Question 3MediumMultiple Select
Select ALL values of that satisfy the inequality .
Select every answer that applies, then check.
Correct answer: A, B, C, D (highlighted above)
This explanation shows one way to solve the problem.
- Subtract 5 from both sides: →
- Divide both sides by 2: →
- Check each option: ✓. ✓. ✓. ✓. ✗.
Final Answer
x = 1, x = 2, x = 3, x = 4
Question 4HardMultiple Select
Select ALL values of that satisfy the inequality .
Select every answer that applies, then check.
Correct answer: A, B, C, D, E (highlighted above)
This explanation shows one way to solve the problem.
- Subtract x from both sides: →
- Add to both sides: .
- Check each option: ✓. ✓. ✓. ✓. ✓. ✗.
Final Answer
x = -3, x = -1, x = 1, x = 3, x = 6
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