Algebra 1 Common Core Student Edition, Grade 8-9

Challenge 64. Reasoning If |x| > |y|,does |jc — y | |y|? J u stify y o u r answ er.

65. Reasoning A s t u d e n t w r o t e th e e q u a t io n -\m\ = |—m|. Is th e e q u a t io n always,
    sometimes, or never t r u e? E x p l a i n.

Simplify each expression.

66. S - f 67.f+|-(-S)^68 •f-H )

r

69. Reasoning Answer each question. Justify your answers.
    a. Is \a-b\ a lw a y s e q u a l t o \b-a\l b. Is \a + b\ always equal to |a| + |b|?

St a n d a r d i ze d Test Pr ep

A

SAT/ACT 70. W h a t is th e v a lu e o f — b — a w h e n a = — 4 and b = 7?

CD -1 1 CD-3 CD 3

71. W hich expression is equivalent to 19 - 41?
    C D 119 — 411 C D 119 + 411 C D — 119 — 41 j


72. W h ic h e q u a t io n illu s t r a t e s th e I d e n t i t y P r o p e r t y o f M u lt ip lic a t io n?
    C D x • 0 = 0 C D X- l = x C D x(yz) = (xy)z

CD 11

CD - 1 19+ 411

x•y=y•x

73. W h a t is a n a lg e b r a ic e x p r e s s io n f o r t h e p e r im e t e r
    of the triangle?
    C D 8 + x C D 8
    CD 4x CD 4 + x


74. W h ic h p o i n t o n th e n u m b e r l in e b e lo w is t h e b e s t e s tim a te f o r V 8?
    P Q
    -•+

R

++-

-5 -4 -3 -2 -1 0

CD Q

s

• • — I—*-
  4 5

CD R CDS

Mixed Review

Tell whether the expressions in each pair are equivalent.

75. 4 • d • 4 a n d 3d 76. (2 .1 • h) • 3 a n d 6.3 + h

See Lesson 1-4.

77. (6 + b) + a and 6 + (a + b)

Name the subset(s) of real numbers to which each number belongs.

78. 
    
    
    
    79. -5 .3 3 3 80. V l 6 81. 82.0371
    
    
    
    

See Lesson 1-3.

82. V 21

Get Read y! To p r e p a r e f o r Lesso n 1 - 6 , d o Ex er ci ses 8 3 - 8 5.

Evaluate each expression for a = 2, h = 5, and w = 8. See Lesson 1-2.

83. 4h-5a+w 8A.a2w~h2 + 2h 85. (w2h - a 2) + 1 2 + 3a

36 Ch ap t er 1 Fo u n d at i o n s f o r A l g e b r a