6(7k - 6) - 5 2a - 7(-8a + 6) Distribute the 6 Distribute the 7 (42k - 36) - 5 2a - (-56a + 42) Drop the parentheses Distribute the negative 42k - 36 - 5 2a + 56a - 42 Combine like terms Combine like terms 42k - 41 58a - 42

6(6 - n) – 7n -4b - 4(4 - 5b) Distribute the 6 Distribute the 4 (36 – 6n) – 7n -4b - (16 - 20b) Drop the parentheses Distribute the negative 36 - 6n - 7n -4b + -16 + 20b Combine like terms Combine like terms 36 – 13n 16b - 16

USE THE EXP OR EE BUTTON ON YOUR CALCULATOR Type 2.4 “EE” “(-)” 2 “÷” 7 “EE” 5 3.5 x 106 Type 1.92 “EE” 1 “x” 1.8 “EE” 5 4.8 x 10-8 Type 1.6 “EE” “(-)” 4 “x” 3 “EE” “(-)” 4 1.6 x 10-8 Type 5 “EE” “(-)” 2 “^” 6

-24 + x = 4(x + 4) + 2x -24 + x = 6x + 16 Distribute the 4 +24 + 24 -24 + x = (4x + 16) + 2x x = 6x + 40 -6x -6x Drop the parentheses -5x = 40 -24 + x = 4x + 16 + 2x -5 -5 Combine like terms Divide both sides by -5 -24 + x = 6x + 16 Simplify – add 24 to both sides Simplify – subtract 6x from both sides x= -8

-3p - 7(1 - 6p) = -38 + 8p Distribute the 7 -7 + 39p = -38 + 8p -3p - (7 - 42p) = -38 + 8p +7 +7 39p = -31 + 8p Distribute the negative -8p -8p -3p + (-7 + 42p) = -38 + 8p 31p = -31 Drop the parentheses 31 31 -3p + -7 + 42p = -38 + 8p Divide both sides by 31 -7 + 39p = -38 + 8p Simplify – add 7 to both sides Simplify – subtract 8p from both sides p = -1.0

11) b = 0 12) m = 0 13) a = -23 14) n = 23 15) a = 12 16) x = -21 (a4 - 4a3 - 3) + (5a4 + 3a3 + 8) Drop the parentheses a4 - 4a3 - 3 + 5a4 + 3a3 + 8 Combine like terms 6a4 - a3 + 5

(k3 - 3k2 - 7) - (4k4 + 2 - 4k2) Distribute the negative (k3 - 3k2 - 7) + (-4k4 - 2 + 4k2) Drop the parentheses k3 - 3k2 - 7 - 4k4 - 2 + 4k2 Combine like terms -4k4 + k3 + k2 - 9 19) -15x3 +3 20) 9x3 – 12x2 - 3

V = van ; b = bus School A School B 14v + 9b = 594 2v + 11b = 454 Solve each for the same variable (v) School A School B v = 594 - 9b v = 454 - 11b 14 2 Set them equal 454 - 11b 594 - 9b = 2 14

454 - 11b 594 - 9b = 2 14 Cross multiply 14(454 - 11b) = 2(594 - 9b) Distribute and drop the parentheses 6356 - 154b = 1188 - 18b Simplify 5168 = 136b Solve 38 per bus

School A School B v = 594 - 9b v = 454 - 11b 14 2 38 per bus 18 per van NOPE 66 66 NOPE (18) 57 75 YUP!! (36) 48 84