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MDS Activity 2

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MDS ACTIVITIES WEEK 2-3
Activity 2
1. 2+a/13 = 3
Answer: a = 37
Solution:
2+a/13 = 3
a +2/13 = 3
a + 2 = 13*3
a + 2 = 39
(a+2) + (-2) = 39 + (-2)
a + 2 -2 = 39 -2
a = 37
2. 5x+10/7 = 0
Answer: x = -2
Solution:
5x+10/7 = 0
5x+2*5/7=0
5(5x/5+2*5/5)/7 = 0
5(x+2)/7 = 0
5(x+2)= 0
5(x+2)/5 = 0
x+2 = 0
(x+2) + (-2) = -2
x+2 – 2 = -2
x = -2
3. 17x-28/21 + 4/3 = 0
Answer: x = 0
Solution:
17x-28/21 + 4/3 = 0
17/21 x+ -4/3 + 4/3 = 0
(17/21 x) + (-4/3 + 4/3) = 0
17/21x = 0
17/21x = 0
(21/17)*(17/21x) = (21/17) * (0)
x=0
4. 9(y-3) +2y
Answer: 11y = 27
Solution:
9(y-3) +2y
= (9)(y) + (9) (-3) + 2y
= 9y+ - 27 +2y
= (9y + 2y) + (-27)
= 11y + -27
5. 7(3x-2/7) -5 (2x- 3/5)
Answer: 11x +1
Solution:
7(3x-2/7) -5 (2x- 3/5)
7(7(3x) + (-2)/ 7) -5 (5(2x) + (-3)/5)
7(7*3x-2/7) – 5 (5*2x – 3/5)
7(21x-2/7) – 5 (10x -3/5)
7(21x-2/7) – 5( 10x -3/5)
(21x - 2) – (10x – 3)
21x – 2 – 10x +3
21x – 10x – 2+3
11x+1
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