& 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
PracticeMATHEMATICAL
PRACTICESSolve 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 = — 7See Problems 3 and 4.- 6 a = 0.96
33.7 r= -£ - -39 = |
41 £=_IZ 4 2Solve each equation. Check your answer.- \q
- =
= 1 82
' 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