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Solving Division Equations

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Presentation on theme: "Solving Division Equations"— Presentation transcript:

1 Solving Division Equations

2 The quotient of a number and 4 equals 12.
x ÷ 4 = 12

3 48 x 4 x ÷ 4 x ÷ 4 × 4 x = 12 = 12 × 4 = 48 = 12 = 12 ∙ 4 = 48 x 4 ∙ 4 x x 4 4 1 x 1 ∙ =

4 x 6 = 7 = 7 ∙ 6 = 42 n ÷ 5 n ÷ 5 × 5 n = 4 = 4 × 5 = 20 x 6 ∙ 6 x

5 3y y = 2.7 = 0.9 3 3

6 3 4 f ∙ f ∙ ÷ f = 7 = 7 ÷ = 9 3 4 3 4 3 4 4 3 28 3 1 3 7 ∙ = 9 1 1 3

7 d ÷ 0.4 d ÷ 0.4 × 0.4 d = 23.2 = 23.2 × 0.4 = 9.28

8 4 5 b 2.3 a ÷ a ÷ × a = 10 = 10 × = 8 = 4.7 = 4.7 ∙ 2.3 = 10.81 4 5 4 5 4 5 b 2.3 ∙ 2.3 b

9 Nicole and Jane are making a photo album of the 165 vacation pictures they took. Nicole took twice as many pictures as Jane. How many vacation pictures did Nicole and Jane each take?

10 2j + j = 165 number of pictures Nicole took
number of pictures Jane took equals 165 and 2j + j = 165 j = number of pictures Jane took

11 j = number of pictures Jane took
2j + j 3j j = 165 = 55 3 3 j = number of pictures Jane took

12 Nicole and Jane are making a photo album of the 165 vacation pictures they took. Nicole took twice as many pictures as Jane. How many vacation pictures did Nicole and Jane each take? Jane took 55 pictures. Nicole took 110 pictures.

13 Graphing Inequalities

14 a mathematical sentence in which two expressions are not equal
inequality a mathematical sentence in which two expressions are not equal

15 < > less than greater than

16 x > 3 5 14.2 239

17 x > 3 −1 1 2 3 4 5 6 7 8 9 −2 −3 −4 −5 −6 −7 −8 −9 x = 3

18 x < −1 −1 1 2 3 4 5 6 7 8 9 −2 −3 −4 −5 −6 −7 −8 −9

19 x > 7 − 4 x > 3 −1 1 2 3 4 5 6 7 8 9 −2 −3 −4 −5 −6 −7 −8 −9

20 x > 7 if x = 6 6 > 7 no

21 n < −1 if n = −3 −3 < −1 yes

22 Complete #1−36 (even) on Student Text pp. 224−25.


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