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Advanced Placement (AP)Advanced Placement (AP)
4 February, 19:19

Evaluate each expression for a = 9, b = - 3, c = - 2, d = 7. Showyour work. 1. A - cd2. 2b3 + c2a+d-cb4. (a-b) 2 + d (a + c) 5. 4c - (b - a) ab-5a7. 2bc + d (12 - 5) 8. B + 0.5[8 - (2c + a) ]Simplify each expression using the Distributive Property. 9.5 (2g - 8) 10.7 (y + 3) 11. - 3 (4w-3) 12. (6r + 3) 2Simplify each expression, showing all work. 13.8 (x + 1) - 12x14.6w - 7 + 12w - 3z15.9n - 8 + 3 (2n - 11) 16.3 (7x + 4y) - 2 (2x + y) 17. (15 + 8d) (-5) - 24d + d18. 9 (b - 1) - c + 3b + c19. 20f-4 (5f + 4) + 1620.8 (h - 4) - h - (h + 7) 3.6.

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  1. 4 February, 23:13
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    1) 23; - 8; 19; 73; 4; - 76; 61; - 6

    10g - 40; 7y + 21; - 12w + 9; 6r+3

    2) - 4x + 8; 18w - 3z - 7; 15n - 41; 17x+10y; - 75 - 63d; 12b-9; 0; 6h - 39

    Explanation:

    a = 9, b = - 3, c = - 2, d = 7

    1. a - cd = 9 - (-2) (7)

    = 9 + 14 = 23

    2. 2b + c = 2 (-3) + (-2)

    = - 6 - 2 = - 8

    3. 2a+d-cb = 2 (9) + 7 - (-2) (-3)

    = 18 + 7 - (6) = 25-6 = 19

    4. (a-b) 2 + d (a + c) = (9 - (-3)) * 2 + 7 (9 + (-2))

    = (9+3) * 2 + 7 (9-2) = 12*2 + 7 (7)

    = 24 + 49 = 73

    5. 4c - (b - a) = 4 (-2) - (-3 - 9)

    = - 8 - (-12) = - 8+12 = 4

    6. ab-5a = 9 (-3) - 5 (9)

    = - 27 - 49 = - 76

    7. 2bc + d (12 - 5) = 2 (-3) (-2) + 7 (12-5)

    = 2 (6) + 7 (7) = 12 + 49 = 61

    8. b + 0.5[8 - (2c + 2a) ]

    = - 3 + 0.5[8 - (2*-2 + 2*9) ]

    = - 3 + 0.5 (8 - (-4+18)) = - 3+0.5 (8-14)

    = - 3+0.5 (-6) = - 3-3 = - 6

    Using Distributive Property

    9. 5 (2g - 8) = 5*2g - 5*8

    = 10g - 40

    10. 7 (y + 3) = 7*y + 7*3

    = 7y + 21

    11. - 3 (4w-3) = - 3*4w - 3 (-3)

    = - 12w + 9

    12. (6r + 3) = 1 (6r + 3)

    = 1*6r + 1*3

    = 6r + 3

    2) Simplify each expression

    13. 8 (x + 1) - 12x = 8x + 8 - 12x

    = 8x - 12x + 8 = - 4x + 8

    14. 6w - 7 + 12w - 3z

    = 6w+12w - 3z - 7

    = 18w - 3z - 7

    15. 9n - 8 + 3 (2n - 11)

    = 9n - 8 + 6n - 33 = 15n - 41

    16. 3 (7x + 4y) - 2 (2x + y)

    = 21x + 12y - 4x-2y = 21x - 4x + 12y-2y

    = 17x + 10y

    17. (15 + 8d) (-5) - 24d + d

    = - 5 (15) - 5 (8d) - 24d + d

    = - 75 - 40d - 24d + d

    = - 75 - 63d

    18. 9 (b - 1) - c + 3b + c

    = 9b - 9 - c + 3b + c = 9b + 3b - c + c - 9

    = 12b - 9

    19. 20f-4 (5f + 4) + 16

    = 20f - 20f - 16 + 16 = 0

    20. 8 (h - 4) - h - (h + 7)

    = 8h - 32 - h - h - 7

    = 8h - 2h - 32-7

    = 6h - 39
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Home » Advanced Placement (AP) » Evaluate each expression for a = 9, b = - 3, c = - 2, d = 7. Showyour work. 1. A - cd2. 2b3 + c2a+d-cb4. (a-b) 2 + d (a + c) 5. 4c - (b - a) ab-5a7. 2bc + d (12 - 5) 8. B + 0.5[8 - (2c + a) ]Simplify each expression using the Distributive Property.
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