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Lesson 2-2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD Lesson 2-2

2-2Study Guide and Intervention

Solving One-Step Equations

Chapter 2 11 Glencoe Algebra 1

Solve Equations Using Addition and Subtraction

Addition Property of EqualityFor any numbers a, b, and c, if a = b, then a + c = b + c.

Subtraction Property of Equality

For any numbers

a , b, and c, if a = b, then a - c = b - c.

Solve m - 32 = 18.

m - 32 =

Original equation

m - 32 + 32 =+ 32 Add 32 to each side. m =Simplify.

Solve 22 + p = -12.

22
p = -Original equation

22 + p - 22 = -- 22 Subtract 22 from each side.

p = -34 Simplify.

Exercises

Solve each equation. Check your solution.

1. h - 3 = -2 2. m -= - 3. p - 5 =

4. = y - 5. k -= 6. w -

2 5

7. h -= - 8. -= -24 + k 9. j -=

10. b -= - 11. m --= 12. w -

3 2 4

13. x += 14. w + 2 = - 15. -= b + 4

16. k +-= 7 17. -= ? +- 18. - 3

+ x = 5

19. + h = -4 20. -= k + 24 21. j +=

22. b += - 23. m +-= 2 24. w + 3

2 5

Example 2Example 1

1 28
1 0 6 16 23
160-4
2.8 12 2 15 3 36
1020
1 1 8 2 7 4 21
1 1.6 7 8 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Study Guide and Intervention (continued)

Solving One-Step Equations

2-2

Chapter 2 12 Glencoe Algebra 1

Solve Equations Using Multiplication and Division

Multiplication Property of EqualityFor any numbers a, b, and c, if a = b, then ac = bc.

Division Property of Equality

For any numbers

a , b, and c, with c ≠ 0, if a = b, then a c b c

Solve 3

1 2 p = 1 1 2 3 2 p = 2

Original equation

7 2 p = 3 2 2 7 7 2 p 2 7 3 2

Multiply each side by

2 7 p 3 7

Simplify.

3 7

Solve -5n = 60.

5 n

Original equation

5 n 5 5

Divide each side by -5.

n = -Simplify.

Exercises

Solve each equation. Check your solution.

1. h 3 = -2 2. m = 3. 5 p = 3 5

4. 5 =

y 5. - 4 k = - 6. - m 5 7. - 2 h = 4 8. -= - 3 2 k 9. j 3 2 5

10. -3

3 b = 5 11. 7 m = 12. p 5 4

13. 3h = -42 14. m = 15. -3t =

16. -3r = -24 17. k = - 18. -2m =

19. h = 4

20. -p = 21. j = 5

22. -25 = 5m

23. m = 24. -p = -75

Example 2Example 1

Rewrite each mixed number as an improper fraction. 6483

6010 -5

8 3 81
1 5 1 1 2 14 2 7 -1 1 4 14 8 1 3 52
8-17 8 310
50
2 1 2quotesdbs_dbs4.pdfusesText_8