Objective - To find the opposite of a sum or difference.
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Transcript of Objective - To find the opposite of a sum or difference.
Objective - To find the opposite of a sum or difference.
-(x + y) = -x +
-1(x + y) = -1x + -1y
-yOpposite of a sum
-(x - y) = -x +
-1(x - y) = -1x + 1y
yOpposite of a difference
Simplify the following.1) (x 5)
2) (y 3)
3) (m y 2)
4) (a 2b 7) x
y
m y 2
a 2b 7
5
3
Subtracting a Sum or Difference
Judy has $10, owes Sam $3, and owes Talia $5.How much will she have after paying them?
10 (3 5) 10 3 5 10 (8)
2
7 52
a (b c) a b c
a 1(b c) a b c Distribute the negative!
Subtracting a Quantity
1) -(x + 6)
2) -(2x - 8)
3) 10 - (4m + 3)
4) 2(x - 5) - (x - 3)
6) -(3a + 1)
7) -(-3x + 2y - 7)
8) -12 - (3y - 8)
9) 4(3k - 5) - (2k + 9)
-x - 6
-2x + 16
10 - 4m - 3
- 4m + 7
2x - 10 - x + 3 x - 7
-3a - 1
+3x - 2y + 7
-12 - 3y + 8
- 3y - 4
12k - 20 - 2k - 9 10k - 29
Simplify the following.1) 10 - 4(x - 5) - 8
2) 6 - 2(5 - x) - (3x + 7)
3) 4x - 5[2(6x - 3) - 7]
4) 5x - 4(7x - 9) - 11
5) 10 + 3(x - 5) - (2x - 9)
6) -4[-(x + 5) - 3(x - 6)]
10 - 4x + 20 - 8- 4x + 22
6 - 10 + 2x - 3x - 7- x - 11
4x - 5[12x - 6 - 7]4x - 5[12x - 13]4x - 60x + 65
-56x + 65
5x - 28x + 36 - 11- 23x + 25
10 + 3x - 15 - 2x + 18x + 13
-4[-x + -5 - 3x + 18]-4[-4x + 13]
16x - 52