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Name Q1 Test 1 Review DUE: Tuesday, 10/12/10 TEST: Thursday, 10/14/10 Sections 1 and 2 can be done on sheet. Sections 3,4, and 5 MUST be done in NB Section 1: Sets of Numbers 1) Which number is a rational number but not an integer? a) – 6 b) 0 c) ⅝ d) none C 2) Which number is an integer but not a natural number? a) π b) -¾ c) 0 d) none C 3) Which number is an integer, but not rational? a) π b) 4 c) -.25 d) none D 4) Which number is whole, but not natural? a) 0 b) 4 c) .75 d) none A 5) Which number is natural, but not whole? a) ¼ b) 4 c) 0 d) none D 6) Give an example of a number that is rational, but not an integer. ½ (many acceptable answers 7) Give an example of a number that is an integer, but not a whole number. -4 (many acceptable answers 8) Give an example of a number that is a whole number, but not a natural number.0(only answer) 9) Give an example of a number that is a whole number, but not an integer. None 10) Give an example of a number that is rational, but not a whole number. ½ (many acceptable answers Section 2: Properties A. Complete the Matching Column (put the corresponding letter next to the number A1) J2) H3) D4) B5) F6) E7) I8) G9) C10) 6-9=6-9 4(5 + 2) = 4(5) + 4(2) 17 · 8 = 8 · 17 a) Reflexive b) Additive Identity c) Multiplicative identity 6 · (2 · 12) = (6 · 2) · 12 d) Associative Property of Mult. 32 + 0 = 32 e) Transitive 11 + (3 + 18) = (11 +3) + 18 If 40 + 4 = 44 and 44 = 4 · 11, then 40 + 4 = 4 · 11 f) Associative Property of Add. g) Symmetric 22 · 0 = 0 h) Commutative Property of Mult. If 30 = 5 · 6, then 5 · 6 = 30 i) Multiplicative property of zero 26 · 1 = 26 j) Distributive Name Q1 Test 1 Review DUE: Tuesday, 10/12/10 TEST: Thursday, 10/14/10 Section 3: Order of Operations: 1) 256 – 13 ÷ ⅓ + 11= 228 5) Substitute and Evaluate: 3y3 - 2y2 ÷ 10 + 379 = -1 y = -5 2) 24 ÷ (6 – 3 · 4) · 13 = -52 2 6) Substitute and Evaluate: b = 7 and c = -2 bc2 ÷ (42 – 4b) – 11c = 24 2 3) (-7) - 12 · ¼ + (6)(-2) = 1 7) Evaluate when a = -8, b = -3, and c = 9 4b3 + ac – ab - 1 c2 – 16b ÷ a + 8a + 2b Section 4: Simplifying: 1) (6x - 5) + (7x + 7) 2) (6x2 – 5x + 7) + (9x2 – 4x + 8) 3) 4(3x – 5) + 6(4x + 3) 13x+ 2 15x2 – 9x + 15 36x - 2 4) 5(6x – 9) – 7(4x – 8) 5)8(3x2 – 4x + 9) + 6(4x2 + 5x – 12) 2x + 11 48x2 – 2x 2 2 6) 9(4x + 3x – 8) – 7(6x – 4x + 10) 7) 6(2x – 5) + 3(3x + 2) 2 -6x + 55x – 142 21x - 24 8) 4(8x + 5) – 10(5x + 2) 9) 6(4x2 – x + 7) + 8(3x2 – 2x – 6) -18x 48x2 -22x - 6 2 2 10) 10(3x – 5x + 3) + 6(5x – 4) 11) 12(3x2 – 6x + 9) – 9(4x2 – 8x + 12) 60x2 – 50x + 6 0 Section 5: Solving Equations: 1) ½ x + 39 = 31 -16 7) 42 - ¾ x = 21 2) 8x – 5 = 3x + 50 11 8) (5x – 2) + (7x + 5) = -81 3) 12x – 14 = -74 -5 9) 100- 9x = -154 4) 7(4x – 5) + 6(2x + 1) = 171 5) 8(3x – 10) = 10(2x – 6) 5 5 6) 6(4x -7) – 5(3x – 5) = 55 8 13) 5(6x – 10) - 1 9 15) 9(4x - 6) +20 -11 -7 = -29 = -46 15 28 -7 254/9 10) 10(6x – 4) – 7(8x – 3) = -17 ½ 11) 7(4x – 10) = 6(8x – 10) -½ 12) 9(2x + 3) – 4 = 5(3x – 2) -11 14) 11(8x – 2) 7 + 19 = -47 -5 16) 5(7x – 1) 12 + 21 = 41 7