Solving Division Equations

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

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 ∙ =

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

3y y = 2.7 = 0.9 3 3

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

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

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

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?

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

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

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.

Graphing Inequalities

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

< > less than greater than

x > 3 5 14.2 239

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

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

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

x > 7 if x = 6 6 > 7 no

n < −1 if n = −3 −3 < −1 yes

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