# Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1

& Lesso n Ch eck

``````Do y o u k n o w H OW?

1. x + 7 = 3

2. 9 = m - 4

3. 5y = 24

4. Books You have already re ad 117 pages of a book.
You are one third of th e way through the book. W rite
and solve an equation to find th e n u m b e r of pages in
the book.

``````_ MATHEMATICAL
Do y o u UN DERSTAN D? PRACTICES
Vocabulary Which property of equality would you use
to solve each equation? Why?``````

1. 3 + x = —34 6. 2x = 5

2. x — 4 = 9 8. | = 9

3. Reasoning W rite a o ne-step equation. Then write
two eq u atio n s th a t are equivalent to your equation.
How can you prove th at all th ree equations are
equivalent?

IjjyiP Pract ice and Problem -Solving Exercises

``Practice``

``````MATHEMATICAL
PRACTICES``````

``Solve each equation using addition or subtraction. Check your answer.``

1. 6 = x + 2 11. 27 + n = 46 12. 23 = v + 5
14./+ 9 = 20 15. -5 + a = 21 16. -17 = 3 + k

2. c + 4=-9 19. 67 = w- 65 20. 23 = b - 19

3. y- 19 = 37 23. q- 11 = - 9 24. -2.5 = p + 7.1

``Solve each equation using multiplication or division. Check your answer.``

1. —8n = - 6 4 27. -7y = 28 28. 5 b = 145

• 9 6 = 4c 31. 11 = 2. 21

2. y = 12

3. 14 = :
35. 35 =J
32. 17.5 = 55
36. f= 13

``39.-9 40. -13 = ^``

``4f* See Problems 1 and 2.``

1. 4 = < 7 + 13

2. 5.5 = - 2 + d

3. g - 3.5 = 10

``25.y — 3 = — 7``

``See Problems 3 and 4.``

1. 6 a = 0.96
33.7 r= -£

2. -39 = |

``41 £=_IZ 4 2``

``Solve each equation. Check your answer.``

1. \q

2. =

``= 1 8``

``````2
' 7``````

1. ix = 9

2. 36 = |d

``44- |y = — i``

1. -6 = f n

``See Problem 5.``

1. §m = -15

``Define a variable and write an equation for each situation. Then solve.``

1. Music You have a rack th a t can h old 30 CDs. You can fit 7 m ore CDs on th e rack
before th e rack is full. How m any CDs are in th e rack?

2. Population In a 3-year period, a city’s p o p u latio n d ecreased by 7525 to about
581,600. W hat was th e city's p o p u latio n at th e b eginning of th e 3-year period?
49. |p = 9

``4^ See Problem 6.``

c

``PowerAlgebra.com | Lesso n 2-1 So l v i n g On e- St ep Eq u at i o n s 85``