Algebra 1 Common Core Student Edition, Grade 8-9

Ch ap t er Rev i ew

Co n n ect i n g B I G i d e a s a n d A n sw e r i n g t h e Essen t i al Q u e st i o n s

1 V a r i a b l e

Yo u can u se v ar i ab l es t o

represent quantities and to

write algebraic expressions

and equat i ons.

2 P r o p e rtie s

The pr op er t i es of r eal

numbers describe

relationships that are always

true. You can use them to

rewrite expressions.

Variables and Expressions (Lesson 1-1)

a number n plus 3 t —....?......i

n+3 I n i 3 I

Operations With Real

Numbers (Lessons 1-2,1-5, and 1-6)

25 0 - 3 2 + ( - 5 ) 7(—3)

Properties (Lessons 1-4 and 1-7)

a • b = b • a (a • b) • c = a • (b • c)

a(b + c) = ab + ac

Patterns and Equations

(Lessons 1-8 a nd 1 -9)

1 v a r i a b l e : / + 3 = 5

2 v ar i ab l es: y = 2x

Chapt er Vocabulary

absolute value (p. 31)

• additive inverse (p. 32)


• algebraic expression (p. 4)


• base (p. 10)


• coefficient (p. 48)


• constant (p. 48)


• counterexam ple (p. 25)


• deductive reasoning (p. 25)


• Distributive Property (p. 46)


• elem ent o f th e set (p. 17)


• equation (p. 53)
  
  
  • equivalent expressions
    (p. 23)
  
  
  • evaluat e (p. 12)
  
  
  • exponent (p. 10)
  
  
  • inductive reasoning
    (p. 63)
  
  
  • inequality (p. 19)
  
  
  • int eger (p. 18)
  
  
  • irrat ional number (p. 18)
  
  
  • like terms (p. 48)
  
  
  • multiplicat ive inverse
    (p. 40)
    
    
    • natural number (p. 18)
    
    
    • numerical expression
      (p. 4)
    
    
    • open sentence (p. 53)
    
    
    • opposite (p. 32)
    
    
    • order of operat ions
      (p. 11)
    
    
    • perfect square (p. 17)
    
    
    • power (p. 10)
    
    
    • quant it y (p. 4)
    
    
    • radical (p. 16)
    
    
    • radicand (p. 16)
      
      
      • rational number (p. 18)
      
      
      • real number (p. 18)
      
      
      • reciprocal (p. 41)
      
      
      • set (p. 17)
      
      
      • simplify (p. 10)
      
      
      • solution of an equation
        (p. 54, 61)
      
      
      • square root (p. 16)
      
      
      • subset (p. 17)
      
      
      • term (p. 48)
      
      
      • variable (p. 4)
      
      
      • w hole number (p. 18)
      
      
      
      
    
    
    
    
  
  
  
  

Choose the correct term to complete each sentence.

1. Real n u m b e rs th a t y o u c a n n o t re p re se n t as a q u o tie n t o f tw o integers
   are J_ n u m b e r s.


2. The sum o f a n u m b e r and its J_ e q u a ls zero.


3. Y o u c a n s im p lif y a n e x p r e s s io n b y c o m b in in g?.


4. J_ is a n u m b e r ’s d is ta n c e f r o m z e ro o n a n u m b e r lin e.


5. W h e n y o u m a k e c o n c lu s io n s b a s e d o n p a tte r n s y o u o b s e rv e , y o u u s e?.

Ch ap t er 1 Ch ap t er Review