& Lesso n Ch eck

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

Solve each equation. Check your answer.

- x + 7 = 3
- 9 = m - 4
- 5y = 24
- 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?

- 3 + x = —34 6. 2x = 5
- x — 4 = 9 8. | = 9
- 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.`

- 6 = x + 2 11. 27 + n = 46 12. 23 = v + 5

14./+ 9 = 20 15. -5 + a = 21 16. -17 = 3 + k - c + 4=-9 19. 67 = w- 65 20. 23 = b - 19
- y- 19 = 37 23. q- 11 = - 9 24. -2.5 = p + 7.1

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

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

- 9 6 = 4c 31. 11 = 2. 21

- y = 12
- 14 = :

35. 35 =J

32. 17.5 = 55

36. f= 13

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

`4f* See Problems 1 and 2.`

- 4 = < 7 + 13
- 5.5 = - 2 + d
- g - 3.5 = 10

`25.y — 3 = — 7`

`See Problems 3 and 4.`

- 6 a = 0.96

33.7 r= -£ - -39 = |

`41 £=_IZ 4 2`

`Solve each equation. Check your answer.`

- \q
- =

`= 1 8`

`2`

' 7

- ix = 9
- 36 = |d

`44- |y = — i`

- -6 = f n

`See Problem 5.`

- §m = -15

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

- 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? - 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`