Algebra 1 Common Core Student Edition, Grade 8-9

Lesso n Ch eck

Do y o u k n o w H OW?

1. Is y = —9 a s o lu tio n o f y + 1 = 8?


2. What is the solution of x — 3 = 12? Use m ental m ath.


3. Reading You can read 1.5 p a g e s f o r e v e r y p a g e y o u r
   f r ie n d c a n r e a d. W r it e a n e q u a t io n t h a t r e la te s th e
   num ber of pages p th a t y o u c a n re a d a n d th e n u m b e r
   of pages n t h a t y o u r f r i e n d c a n re a d.

_. MAtHEMAtlCAL

Do y o u UN DERSTAND? PRACTICES

4. Vocabulary Give an example of an equation that is
   tr u e , a n e q u a t io n t h a t is fa ls e , a n d a n o p e n e q u a tio n.


5. Open-Ended W r it e a n o p e n e q u a t io n u s in g o n e
   variable and division.


6. C o m p a r e a n d C o n t r a s t U s e t w o d if f e r e n t m e t h o d s to
   fin d the solution o f the equation x + 4 = 13. W hich
   m e t h o d d o y o u p re fe r? E x p la in.

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

Practice

MAtHEMATICAL

PRACTICES

Tell whether each equation is true, false, or open. Explain.

7. 85+ (-10) = 95 8. 225- t- 4 = 6.4


8. — 8 (—2) - 7 = 14 - 5 11. 4(—4) + ( -8)6 = - 3 + 5(3)


9. 4a-3b = 21 14. 14 + 7 + ( - 1 ) = 21

Tell whether the given number is a solution of each equation.

16. 8 x + 5 = 29;3 17. 5b + 1 = 16; -3


17. 2 = 1 0 - 4y; 2 20. 9a - (-7 2 ) = 0; -8


18. 7 + 16y = 11; |^1 23. 14 = p - 5; 27

See Problem 1.

9. 29 - 34 = -5


10. 91 + (-7) — 5 = 3 5 = 7 + 3


11. 5x+ 7 = 17

4P See Problem 2.

18. 6 = 2n — 8 ; 7


19. -6b+ 5= 1 ;|


20. f l + 2 = 4;f

Write an equation for each sentence.

25. The sum o f 4x and - 3 is 8.

2 ' 3

See Problem 3.

26. The p ro d u ct o f 9 and the sum o f 6 a n d x is 1.


27. Training A n a th le te t r a in s f o r 115 m i n e a c h d a y f o r as m a n y d a y s as p o s s ib le. W r it e
    an equation that relates the num ber of days d t h a t t h e a t h l e t e s p e n d s t r a i n i n g w h e n
    th e a th le te tra in s fo r 690 m in.


28. Salary The m anager o f a restaurant earns $2.25 m ore each hour than the host of
    th e re sta u ra n t. W rite an e q u a tio n th a t relates th e a m o u n t h t h a t t h e h o s t e a rn s e a c h
    h o u r w h e n t h e m a n a g e r e a rn s $ 1 1 .5 0 e a c h h o u r.

Use mental math to find the solution of each equation.

29. x-3 = 10 30. 4 = 7 - y


30. 2-x = -5

35.61=36 36. 20a = 100

33. f = 4

See Problem 4.

31. 18+ <2 = 24


32. f = 5


33. 13c = 26

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