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ABC equations and inequalities word problems
1.
2.
3.
4.
5.
ABC
6.
7.
C
8.
a
9.
ABC BC
10.
ABC AB
11.
12.
ABC C
AB AC BC
13.
a
A b B, c C c a,b
14.
a
b
15.
ABC
16.
17.
18.
ABC
a,b c ABC C
19.
ABC ABC
20.
ABC
21.
PQR QR, PM = 24 PQ = 25 MR = 10 PQR
22.
23.
24.
ABCD ABO
25.
26.
27.
a b
28.
29.
30.
31.
32.
√ , √ , √ , -√ , - √ , -√ ¶
33.
a
a a - - - x - - - -
34.
x4
- x -4 x8 - x -8 x35 - x (-35)
35.
a a
a a - a a= ,
36.
- -
-
37.
38.
a
a a a a - - - -
39.
-
- -
40.
41.
x7x7 = (7)3
42.
43.
ax + b
= 0 a, b a
44.
2x+3 = 0 2a+1
= 0 a, b c symmetric property) a=b b=a transitive property) a=b b=c a=c
45.
distributiveproperty) a(b+c) = ab
+ ac additiveproperty) a=b a+c=b+c a-c=b-c multiplicative property) a=b axc=bxc a/c=b/c c
46.
47.
y = mx
+ c m Y c y = 3x + 2 y = 2x - 5 y=x+7 y=-x-8
48.
2.Ax + By
+ C = 0 x + 2y + 5 = 0 3x - 4y - 12 = 0 8x + 7y - 20 = 0 Ax + By + C = 0 By = - Ax - C Y=-X-( B y = mx + c m=- C=-
49.
3. y =
c X X C Y=2 X X=2 Y = -5 X X=5
50.
4. X =
C Y Y C| X=3 Y Y X = -4 Y Y
51.
X
Y X y=0 y X=0 X Y a X b Y X a,0) Y b)
52.
X
y = 2x - 5 y x = 3 , y = 2(3) - 5 = 1 y = 2x – 5 Slope) y = mx + c m Ax + By + C = 0 - y = 2x - 3 x - 2y + 5 = 0
53.
y = 3x
- 5 X x + 4y - 12 = 0 X X Y
54.
Ax + By
+ C = 0 A,B C A,B y = mx + c m c m C x
55.
56.
x x/6 x/12 x/7
x/2
57.
x = x/6 + x/12 + x/7 + 5 + x/2 + 4 ...........................x = x/6 + x/12 + x/7 + x/2 + 9 ...........................x = (1/6 + 1/12 + 1/7 + 1/2) x + 9 ...........................x = [(14 + 7 +12 + 42) /84] x + 9 ...........................x = 75/84 x + 9 .....................84 x = 75 x + 756 .......................9 x = 756 ...........................x = 84
58.
59.
f
i g h MN PQ RS
60.
MRS = RSQ
( NRS = RSP ( RS MN PQ
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