Algebra 1 Common Core Student Edition, Grade 8-9

Afi X~ 6 4 - 2 x = 4X + 3

° ' x + 3 x - 3 x + 3

Solve e a ch e q u a tio n. C heck y o u r answ ers.

47. n

49.

n — 2 n + 2

t 2 - 2 t '

50. Painting To p a in t a room , it tak es M ike 75 m in, Joan 60 m in, a n d Kyle 80 m in
    w h e n e a ch p e rs o n w orks alone. If all th re e w o rk together, h o w lo n g will th e p a in tin g
    take?


51. Chemistry A chem ist has one solution th a t is 80% acid an d a seco n d solution that
    is 30% acid. How m any liters of each solution will th e chem ist n e e d in o rder to
    m ake 50 L of a solution th a t is 62% acid?

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

^SAT/ACT

Short

Response

>■*

52. W hich inequality contains b o th solutions of x = \ + -?
    CD -1 <x<3


53. W hich expression is equivalent to
    
    
    • 2 <x<2
      4
      x + 3 ^
      2x — 6 *
      x 2 - 9
    
    
    
    

2 x *

CD -2<X <0

CD 2 CD -2 CDx 2 + 68 x + 9

54. W hich is th e least com m on d e n o m in ato r of - , , , a n d^1 Y ^ 57?
    CD 2x CD 3x

x ' 3 ’ 2 x ‘

CD 6x

-3 < x < -1

2 x + 6

x — 3

CD 6X2

55. A grizzly b e a r can ru n as fast as 30 m i/h. At th a t rate, how m an y feet w ould a grizzly
    bea r travel in 1 s? Explain your answer.

Mixed Review

Add or subtract.

56.^5 8
2 2 2 2 57.

3 h 2

2 t — 8 t - 2 58.

See Lesson 11-4.

k- 11 5

Graph each function, either by translating the graph of y = Vx or by making

a table of values.

k 2 + 6 k — 40 k — 4

4^ See Lesson 10-5.

59. /(x) = —2Vx 60. y = Vx + 7 61. /(x) = Vx-2-8 62. y = V0.25x

Get Ready! To p re p a re for Lesson 11 - 6 , do Exercises 6 3 -6 6.

Determine whether each equation represents a direct variation. If it does,

find the constant of variation.

63. y — 3x= 0 64. y + 7 = x 65. x + 4y + 1 = 1

See Lesson 5-2.

66. 8x = 3y

0

Po w er A l g eb r a.co m | L e s s o n 1 1 - 5 So l v i n g Ra t i o n a l Eq u a t i o n s 697