Algebra 1 Common Core Student Edition, Grade 8-9

Go t It? 1. n<2

-4 -2

2,m > 9

3.ys-13 (---I— * — t---t-

-19 -17 -15 -13 -11 -9

4a. p>8 b. Yes. The > symbol can be

used to represent all 3 phrases.

Lesso n Ch eck

1.p< 5 —I—i—i—i—i—i—I—©—i—<-

-20246

2. c / s 10 i— i— I— I— I— I— • —I— H

4 6 8 10 12

3.y<-12 i 1----- 1 -----1—©—h

-16 -15 -14 -13 -12 -11

4.c> 3 -<—i---1— © — i 1 1 -

1 2 3 4 5 6

5. w < 524 6. Add or subtract the same number from
   each side of the inequality. 7a. Subtract 4 from each side,
   b. Add 1 to each side. c. Subtract 3 from each side,
   d. Add 2 to each side. 8. They are similar in that 4 is
   being added to or subtracted from each side of the
   inequalities. They are different in that one inequality adds
   4 and the other subtracts 4.
   Ex e r c i se s 9. 6 11. 3.3
   13.y> 13 -—i— ®— i----- 1 --- 1 ----1—
   11 1 3 1 5 1 7 1 9 21


6. c<-4 ii---1—^ ----- 1 -- 1 --h
   -8 -6 -4-2 0 2


7. f > - 3 -*—• —i— i—i—i—i—i—i—h
   -3 - 2 - 1 0 1
   19.p> 12 -—i—i—®—i—h—i—i—i—i—
   10 12 14 16 18


8. f>\ I CD "......................................
   3 0 1 2 3

greater than or equal to 25.6. 49.21 is greater than or
equal tom. 51. 2 less than g is less than 7. 53. r more than
6 is greater than -2. 55. 1.2 is greater than k.^ 57. Answers
may vary. Sample: No more than means "is less than or
equal to," since the amount cannot be greater than the
given number. No less than means "is greater than or equal
to," since the amount cannot be less than the given number.

59. 998 > 978, so Option A > Option B. 61. Answers may
    vary. Sample: Use reasoning or guess and check to see that
    the values of x that are less than 3 make the inequality
    true. 63. line graph that shows an open circle at -3
    stretching to shaded circle at 3 65. C 67. A 69. increase;
    20% 70. decrease; 10% 71. decrease; 67% 72.44


60. 
    
    
    
    74. -3 75. -1 f 76. 11 77. -2 78. -1 1
    
    
    
    


61. 
    

    Lesson 3-2 pp. 171-177

    
    


62. r < 0 i ©— i------ 1 b


63. s<4.7
    -I h

4.7

H 1 H©H— 1— b

27. C < 1 y
    I-
    -1

4 5 6

H— 1 - 9 — I— I— b

1

29.3 31.4.2

33. x< 5


34. c> - 7 H 1 ----©-
    -9 -7 -5 -3


35. a> -1 H------1— I----h


36. n > -2--


37. d>^ -1

H— I— I— I— I 0 1 1—I— I— !--*! ►

—4 - 3 - 2 -1

H b H 1 I H 1 h

-2 -1

43. 3 + 4 + g > 1 0 ;g > 3 45. Add 4 to each side.


44. Add \ to each side. 49. yes

51- h............................ 51 .............................. 1

17 x j

53- I— 3-H........... 13 ......................

m

55. c/<2 57. —4^ > p 59. -1.2 >z 61. p > 12


56. 
    
    
    
    65. 5^>m 67a. yes b. No; in the first
        inequality, r is greater than or equal to the amount. In the
        second inequality, r is less than or equal to the amount,
        c. In part (a), these are equations with only one solution.
        In part (b), because the inequality relationship is different,
        there is no relationship between the two inequalities.
    
    
    
    


57. Answers may vary. Sample: 94, 95, or 96. 71. The
    graph should be shaded to the right, not the left.
    ■ »■ t ') i i i—iii»
    -3 - 2 - 1 0 1
    73a. No; the solution should be a > 8.6 - 3.2, or
    a > 5.4. b. Answers may vary. Sample: Other numbers
    that are not substituted could also be solutions to the
    inequality. 75. at least $88.74 77. True 79. Not true;
    sample: x = 5 ,y = 3 , w = 4
    Lesson 3-3 pp. 178-183
    Go t It? 1. c> 2 -<—i---- 1 -- 1 —© i i »

• 4 - 2 0 2 4 6

2. n > 3 -—i--- 1 - 1— ® — i----------1—
   0 1 2 3 4 5