Algebra 1 Common Core Student Edition, Grade 8-9

31. Text M essages Text m essages cost $.15 each. You can sp en d no m ore th a n $10.
    How m any text m essages can you send?


32. Aquarium Fish Tetras cost $3.99 each. You can sp en d at m ost $25. How m any
    tetras can you buy for your aquarium?

Apply Write four solutions to each inequality.

33. |< -1 34. I > - 4 35. -1>§ 36. 0. 5 > \c

Tell what you can do to the first inequality in order to get the second.

37. -|>3;c<-12 38. § < -2; n <-10 39. 5z >-25; z >-5 40. |b<3;b<4

Replace each If with the number that makes the inequalities equivalent.

41. Bs> 14; s< -7 42. Mx > 25; x < -5 43. - 8 w < 1 ; u > - 0. 5 44. -2a > ■; a < -9

Determine whether each statement is always, sometimes, or never true. Justify

your answer.

45. If x ^ 3 and y ^ 1; th e n xy ^ 0. 46. If x ^ 0 and y 0, th e n xy ^ 0.


46. If x > 0 and y > 1, then xy ^ 0. 48. If x ^ 0 and y — 0, th e n xy ^ 0.


47. Thi nk Ab o u t a Pl an A friend calls you an d asks you to m eet at th e p ark 2 m i away
    in 25 m in. You set off on your skateboard after th e call. At w h at speeds (in m iles p er
    m inute) can you ride your skateboard to be at the park in at m ost 25 min?
    
    
    • How are the distance you travel, your speed, an d tim e related?
    
    
    • How can an inequality help you solve the problem?
    
    
    • How can th e m odel below help you solve the problem?
      1 2 1
      25 r |
    
    
    
    

Solve each inequality. Justify each step.

50. -4.5 > 9p


51. 
    
    
    
    • 8 u < 4
    
    
    
    
    
    
    51. 
        
        
        
        • 1 >;
        
        
        
        
    
    
    
    

55- f — —2

52. < 4


53. —1 2 > 4 a
    53. 0.5 < | c
    57. 1 < -Is


54. Trip A family is taking a cross-country trip by car. They drive at an average speed of
    55 m i/h , an d their goal is to travel at least 400 m i/day. How m any h o u rs p e r day do
    they n e e d to drive?


55. Lunch You have $30. You are going to buy a
    sandw ich an d a d rink for yourself an d two friends
    from th e m e n u at th e right. You will sp en d the
    re m a in d er on snacks. W hat is the least n u m b e r of
    snacks you m ight buy? W hat is th e greatest n u m b e r
    of snacks you m ight buy? Explain.

Drinks Sandwiches

Sm $ 1 Veggie $ 4

Med $ 1 .5 0 Chicken $5

Lg $ 2 R o a s t B e e f $ 7

Snacks

P r e t z e l s $ 1 lc e C re a m $ 2

Brownie $ 3

182 Ch ap t er 3 So lvin g In eq u al i t i es