1. 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
2a + 56a - 42
Combine like terms
Combine like terms
42k - 41
58a - 42

2. 6(6 - n) – 7n
-4b - 4(4 - 5b)
Distribute the 6
Distribute the 4
(36 – 6n) – 7n
-4b - ( b)
Drop the parentheses
Distribute the negative
36 - 6n - 7n
-4b b
Combine like terms
Combine like terms
36 – 13n
16b - 16

3. 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

4. -24 + x = 4(x + 4) + 2x
-24 + x = 6x + 16
Distribute the 4
-24 + x = (4x + 16) + 2x
x = 6x + 40
-6x -6x
Drop the parentheses
-5x = 40
-24 + x = 4x x
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

5. -3p - 7(1 - 6p) = p
Distribute the 7
p = p
-3p - (7 - 42p) = p
39p = p
Distribute the negative
-8p p
-3p + ( p) = p
31p = -31
Drop the parentheses
-3p p = p
Divide both sides by 31
p = p
Simplify – add 7 to both sides
Simplify – subtract 8p from both sides
p = -1.0

6. 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 - 4a a4 + 3a3 + 8
Combine like terms
6a4 - a3 + 5

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

8. 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 = b
v = b 14 2
Set them equal b b = 2 14

9. b b = 2 14
Cross multiply
14( b) = 2( b)
Distribute and drop the parentheses
b = b
Simplify
5168 = 136b
Solve
38 per bus

10. School A
School B
v = b
v = b 14 2
38 per bus
18 per van
NOPE 66 66
NOPE (18) 57 75
YUP!! (36) 48 84