Download 3.5 Solve equations Page 196-197 Simplify expression first Dist

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3.5 Solve equations
Page 196-197
Simplify expression first Dist prop., numbers, then variables, finally mult or division of
coefficient
#26. 12b − 10b = 6,
12 − 10b = 6
2b = 6
b=3
#30. −120 = −p + 4p
−120 = −1p + 4p,
− 120 = −1 + 4p
−120 = 3p
3p
−120
= 3
3
−40 = p or p = −40
#40. 4x = 2x + 14
− 2x
− 2x
——————————
4x − 2x = 0 + 14
2x = 14
x=7
#52. 6y + 2 = 7y + 3 all y terms on left side=all number terms
− 7y
− 7y
—————————6y − 7y + 2 = 0 + 3
−1y + 2 = 3
−2
−2
——————————
−1y + 0 = 1,
− 1y = 1
y = −1
Do NOW
a. 9b = 3b − 18
b. 155 = d − 1 + 3d
c. 72 − 13e = 12e − 3
ans a, -3
b. 39
c. 3
Distributive property in equation
#60. 9y − 1 = 27
9 ⋅ y + 9−1 = 27
9y − 9 = 27
+9
+9
———————
9y + 0 = 36,
9y = 36
1
y=4
#64. −45t + 2 = −8
− 45t + −42 = −8
− 20t − 8 = −8
+8
+8
———————
−20t + 0 = 0
− 20t = 0
t=0
#72. 3 + 3x − 1 = −18
3 + 3x + 3−1 = −18
3 + 3x − 3 = −18
3x + 0 = −18
3x = −18
x = −6
#78. 2q + 6q − 4 = 24
2q + 6q − 24 = 24
+24
24
2q + 6q = 48
8q = 48
q=6
Do NOW
a. 7t − 5 = −70
b. 12 + 4x − 3 = −40
c. 4x = −13 − 3x + 8
ans
a. -5
b. -10
c. -3
2
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