Question 1EasyMultiple Choice
An expression is shown. . Which expression is equivalent?
Correct answer: A.
This explanation shows one way to solve the problem.
- Combine like terms:
Final Answer
5p
MA.6.AR.1.4 · Algebraic Reasoning
Generating Equivalent Expressions: Sample FAST Questions
Students apply the properties of operations to generate equivalent algebraic expressions with integer coefficients. They use the distributive property to expand expressions like 3(x + 4), combine like terms to simplify expressions like 5x + 2 − 3x, and decide whether two expressions are equivalent.
How the FAST tests this benchmark
On the FAST, students see multiple choice and multiselect items identifying expressions equivalent to a given one, and equation editor items where they write the simplified form.
Skills students need
- Apply the distributive property
- Combine like terms
- Identify equivalent expressions
Try 4 real MA.6.AR.1.4 questions
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Question 2MediumMultiple Choice
Which expression is equivalent to ?
Correct answer: D.
This explanation shows one way to solve the problem.
- Combine terms: Group the terms with : .
- Combine constants: Group the number terms: .
Final Answer
6d + 5
Question 3MediumMultiple Choice
Which expression is equivalent to ?
Correct answer: D.
This explanation shows one way to solve the problem.
- Apply the distributive property: Multiply by each term inside the parentheses: . Remember, a negative times a negative gives a positive.
Final Answer
-10k + 6
Question 4HardMultiple Select
Select ALL expressions that are equivalent to .
Select every answer that applies, then check.
Correct answer: C, D (highlighted above)
This explanation shows one way to solve the problem.
- Distribute :
- Check each option against : ✗ (wrong sign on 22). ✗ (wrong sign on c-term). ✓. ✓ (same expression, reordered). ✗ (11 is not 22).
Final Answer
-16c + 22 and 22 - 16c
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