Ch ap t e r Rev i ew
Co n n ect in g 8 1 0 i d eas an d A n sw er i n g t he Essent ial Qu est i o n s
1 E q u i v a l e n c e
You can represent an
equation in many ways.
Equivalent representations
have the same solution as
the original equation.So l v i n g Eq u a t i o n s
(Lessons 2-1, 2-2, 2-3, 2-4)
Equivalent equations have the same
solution(s). To solve a given equation, form
a series o f simpler equivalent equations th a t
isolate the variable.2 S o lv in g E q u a tio n s
and Inequalities
You can use properties of
numbers and equality to
transform equations into
equivalent, simpler equations
and find solutions.So l v i n g Eq u a t i o n s
(Lessons 2-1, 2-2, 2-3, 2-4)
Use equa tion s t o m odel re a l-w o rld
situations and find unknown quantities.Li t er al Eq uat io n s and Form ulas
(Lesson 2-5)
Formulas represent reliable real-
world relationships. Use them to
solve problems.3 P ro p o rtio n a lity
In a proportional
relationship, the ratios of
tw o quantities are equal. You
can use this relationship to
describe sim ilar figures, scale
models, and rates.Rat es, Pr o p o r t i o n s, an d Si m i l ar
Fi g u r es ( Lesso n s 2- 6, 2- 7, 2- 8)
Use rates to model ideas like grow th, speed,
and u nit prices. Use proportions to interpret
scale drawings.Percent s (Lessons 2-9, 2-10)
Formulas represent reliable real-
world relationships. Use them to
solve problems.Ch ap t er V o c a b u l a r y
Addition Property of
Eq u a l i t y (p. 8 1 )
conversion fact o r (p. 117)
cross p ro d u ct s (p. 125)
Cr o ss Pr o d u ct s Pr o p e r t y
(p. 125)
Division Pro p ert y o f
Eq u a l i t y (p. 8 3 )1 e q u i v a l e n t e q u a t i o n s
(p. 81)
1 f o r m u l a ( p. 1 1 0 )
1 i d e n t i t y ( p. 1 0 4 )
1 i n v e r s e o p e r a t i o n s ( p. 8 2 )
1 i s o l a t e ( p. 8 2 )
1 l i t e r a l e q u a t i o n ( p. 1 0 9 )
1 M u l t i p l i c a t i o n P r o p e r t y o f
Eq u a l i t y (p. 8 3)1 p e r c e n t e r r o r ( p. 1 4 6 )
1 p e r c e n t c h a n g e ( p. 1 4 4 )
1 p ercent decrease (p. 144)
1 p ercent increase (p. 144)
1 p r o p o r t i o n ( p. 1 2 4 )
1 r a t e ( p. 1 1 6 )
1 r a t i o ( p. 1 1 6 )
1 r e l a t i v e e r r o r ( p. 1 4 6 )
scale (p. 132)52
Choose the correct term to complete each sentence.- Addition an d subtraction are exam ples of ? because they u n d o each other.
- An e quation th at is tru e for every value of th e variable is a(n)?.
- A ratio of two equivalent m easures given in different units is a(n) ?.
- On a m ap, inform ation such as "1 i n. : 5 m iā is th e ? of th e m ap.
- In the p roportion | ad a n d be are th e?.
Ch ap t er 2 So l v i n g Eq u a t i o n sscale d r aw i n g (p. 132)
scale model (p. 132)
sim i lar f i g u r es (p. 130)
Su b t r a c t i o n Pr o p e r t y o f
Eq u a l i t y (p. 8 1)
unit analysis (p. 117)
unit rate (p. 116)