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Algebra 1 Name _______ Order of Operations, Radical, and Pythagorean Theorem Simplify each radical expression. 1) 3) 6) 2) 4) 98x 3 y 2 48n8 7) 8n5 Use the Pythagorean Theorem to find n. Express n as a radical in simplest form. 9) 10) a = 7, b = n, c = 9 11) 4 5 5 2 8 n n 2 1 3 Adding: Evaluate each expression if r 2 , s 5, and t . 5 4 12) r t ( s ) 13) r (t ) s Subtracting: Evaluate each expression if x 3.2, y 7.8, and z 4.7 . 14) 3 y z x z 15) Multiplying: Evaluate each expression if 16) z 1.2 ( x) ( y ) . 17) Dividing: Evaluate each expression if . 18) 19) Exponents: Simplify. 20) 8d²g³ 4d³ 21) _25m²n³ 15m² Match each property with its definition. 1. Associative Property of Addition ______ 2. Identity Property of Multiplication ______ 3. Associative Property of Multiplication ______ 4. Commutative Property of Addition ______ 5. Distributive Property ______ 6. Inverse Property of Multiplication______ 7. Commutative Property of Multiplication______ 8. Identity Property of Addition ______ 9. Multiplication of Zero ______ 10. Inverse Property of Addition _______ 11. Definition of Subtraction _______ 12. Definition of Division ________ 13. Reflexive Property ________ 14. Transitive Property ______ 15. Symmetric Property _______ 16. Substitution Property _______ 22) 36h_ 18h³ A) If A=B and B=C, then A=C B) C) D) E) F) A0=0 A+B=B+A A – B = A + (-B) (A + B) + C = A + (B + C) If A = B, then B = A G) A 1 = A H) A ÷ B = A · 1 , B ≠0 B I) A(B + C) = AB + AC J) A = A K) (A B) C = A (B C) L) A + (-A) = 0 M) A + 0 = A N) A B = B A O) _A_ _B_ = 1 B A P) If A = B then A may replace B