AASA Grade 8 The Number System. Practice it free.

Know that there are numbers that are not rational and approximate them by rational numbers. This Grade 8 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grade 83 mapped skills
What the test measures

The Number System skills

  1. Know that there are numbers that are not rational

  2. Approximate irrational numbers by rational numbers

  3. Work with square roots and cube roots

Standards basis

Arizona 2016 Mathematics Standards — Arizona

How the AASA reports it

AASA is Arizona’s statewide achievement test for Grades 3-8, and its math item specifications are aligned to Arizona’s 2016 Mathematics Standards rather than a national framework like SBAC or SAT. The public AASA page does not show a fixed common-core-style domain blueprint; instead, the official math coverage is embedded in grade-level item specifications and scoring guides.

Blueprint & weighting

AASA uses the Independent / state-specific framework (by grade domains structure).

Practice by skill

Topics mapped to this domain

Square and cube equations (ACT/SAT)

Grade 815 questions

Square roots and cube roots

Grade 821 questions

Irrational number approximations

Grade 840 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Solve for all values of x.x\textsf{.}

x2=64x^{2} = 64

8×8=648 \times 8 = 64 and (−8)×(−8)=64,(-8) \times (-8) = 64\textsf{,} so x=±8.x = \pm 8\textsf{.}

Practice playeasy

What is 81\sqrt{81}?

9×9=819 \times 9 = 81, so 81=9\sqrt{81} = 9.

Practice playeasy

Which is closest to π\pi?

π≈3.14159\pi \approx 3.14159.

Practice playeasy

Solve for all values of x.x\textsf{.}

x3=−64x^{3} = -64

(−4)×(−4)×(−4)=−64,(-4) \times (-4) \times (-4) = -64\textsf{,} so x=−4.x = -4\textsf{.}

Practice playeasy

Evaluate 1253.\sqrt[\text{\scriptsize 3}]{125}\textsf{.}

5×5×5=125,5 \times 5 \times 5 = 125\textsf{,} so 1253=5.\sqrt[\text{\scriptsize 3}]{125} = 5\textsf{.}

Practice playeasy

Which is closest to 2\sqrt{2}?

2≈1.414\sqrt{2} \approx 1.414.

Practice playeasy

Solve for all values of x.x\textsf{.}

x2=196x^{2} = 196

14×14=19614 \times 14 = 196 and (−14)×(−14)=196,(-14) \times (-14) = 196\textsf{,} so x=±14.x = \pm 14\textsf{.}

Practice playeasy

What is 273\sqrt[3]{27}?

3×3×3=273 \times 3 \times 3 = 27, so 273=3\sqrt[3]{27} = 3.

Keep practicing

Turn the number system into game time.

The AASA placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
8.EE.A.28.NS.A.2
The Number System in other AASA grades
Grade 6Grade 7
The same skills on other tests
i-ReadyACAPATLASForward
Source and test overview
All AASA prepOfficial test source
Reporting categories

More Grade 8 domains

Expressions and EquationsWork with radicals and integer exponents, understand the connections between proportional relationships, lines, and linear equations, and analyze and solve linear equations and pairs of simultaneous linear equations.8 QsPractice →FunctionsDefine, evaluate, and compare functions, and use functions to model relationships between quantities.8 QsPractice →GeometryUnderstand congruence and similarity using physical models, transparencies, or geometry software, and understand and apply the Pythagorean Theorem.8 QsPractice →Statistics and ProbabilityInvestigate patterns of association in bivariate data.8 QsPractice →