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MA.8.NSO.1.7 · Number Sense and Operations and Probability

Order of Operations with Exponents and Radicals: Sample FAST Questions

Multi-step order of operations in 8th grade adds exponents and roots to the mix, as in (−1/2)^2 + √(2^3 + 8). Expressions run up to six steps and use rational numbers throughout, including negative and fractional bases.

How the FAST tests this benchmark

The FAST uses equation editor items for the exact value and multiple choice items that turn on a single misplaced step. Radicands stay inside perfect squares up to 225 and perfect cubes from −125 to 125, so every root comes out to an integer.

Skills students need

  • Apply the order of operations with exponents
  • Evaluate square roots and cube roots inside a larger expression
  • Work with negative and fractional bases
  • Solve expressions of up to six steps

Try 6 real MA.8.NSO.1.7 questions

These come straight from Algebro's 8th grade pre-algebra question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyDrop-Down
Choose the value that makes each equation true.

n=4\sqrt{n} = 4, so n=n =
n2=9n^{2} = 9 and n>0n > 0, so n=n =

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More 8th grade number sense and probability benchmarks

MA.8.DP.2.1

Sample Spaces for Repeated Experiments

MA.8.DP.2.2

Theoretical Probability of Repeated Experiments

MA.8.DP.2.3

Predicting Results from Probability

MA.8.NSO.1.7: Order of Operations Practice | Algebro