Math Matrix Worksheet
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Math Matrix Review
Comprehensive Skills Check: Integers, Powers, Roots & Operations
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Date:
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Quick Reference Toolkit & Key Rules Use these guidelines to verify your steps
Integers & \(|x|\)
• \(|a| \ge 0\) (distance to 0)
• \(a - (-b) = a + b\)
• \((-)(-) = (+)\), \((-)(+) = (-)\)
Exponent Laws
• \(x^a \cdot x^b = x^{a+b}\)
• \(\frac{x^a}{x^b} = x^{a-b}\)
• \((x^a)^b = x^{a \cdot b}\), \(x^0 = 1\)
Perfect Roots
• \(\sqrt{36}=6\), \(\sqrt{49}=7\)
• \(\sqrt{64}=8\), \(\sqrt{81}=9\)
• \(\sqrt{100}=10\), \(\sqrt{144}=12\)
GEMDAS Priority
• G: Grouping \((), [], |~|\)
• E: Exponents & Roots \(\sqrt{~}\)
• MD: Mult / Div (L to R)
• AS: Add / Sub (L to R)
Part I: Mixed Problems 1–15
Show key steps and write final answer in the box
#1 Integers
\(-19 + 7\)
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#2 Exponents
\(x^4 \cdot x^7\)
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#3 Absolute Value
\(|-15| - |8|\)
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#4 Radicals
\(\sqrt{81}\)
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#5 Integers
\((-6) \cdot (-9)\)
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#6 Order of Ops
\(3 + 2(14 - 3^2)\)
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#7 Exponents
\(\frac{y^9}{y^3}\)
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#8 Integers
\(-28 - (-13)\)
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#9 Absolute Value
\(-|-24|\)
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#10 Radicals
\(\sqrt{144} - \sqrt{25}\)
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#11 Exponents
\((m^5)^3\)
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#12 Integers
\(-72 \div 8\)
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#13 Order of Ops
\(6^2 - 4(5 - 2)\)
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#14 Exponents
\(9^0 + 2^3\)
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#15 Abs Val & Int
\(|4 - 17| + (-6)\)
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Page 1 of 2 • Math Matrix Spiral Review Continue to Problems 16–30 →
II
Part II: Advanced & Multi-Step Challenges
Problems 16–30 • Integrate all rules and watch out for negative signs
Student ID / Name:
#16 Exponents
\((-4)^2 - 5\)
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#17 Integers
\(-84 \div (-7)\)
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#18 Exponents
\(\frac{2^7 \cdot 2^2}{2^5}\)
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#19 Roots & Int
\(\sqrt{169} + 3(-4)\)
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#20 Order of Ops
\(18 - 3 \cdot |-7 + 2|\)
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#21 Integers
\((-2) \cdot (-5) \cdot (-4)\)
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#22 Exponents
\((3a^3b^2)^2\)
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#23 Order of Ops
\(\frac{-36 + 12}{-2^2}\)
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#24 Roots & Powers
\(4\sqrt{49} - 2^4\)
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#25 Abs Val & Div
\(|-32| \div (-4)\)
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#26 Exponents
\(\frac{x^8 \cdot x^3}{x^5}\)
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#27 Order of Ops
\(5 - 2[3^2 - (4 - 7)]\)
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#28 Roots & Integers
\(-\sqrt{100} + |-15| - (-3)\)
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#29 Order of Ops
\(\frac{\sqrt{64} \cdot (-3)}{-6}\)
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#30 Complex GEMDAS
\(2(5 - 8)^2 - \sqrt{36} \div 2\)
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Self Check: Integers Absolute Value Exponent Rules Square Roots Order of Ops
Total: _____ / 30
Page 2 of 2 • Math Matrix Spiral Review Complete all 30 problems • Show all work
