7th Grade Math

224 Equations and Inequalities

Examples 1 and 2 Find the multiplicative inverse of each number.

1. ^8
   5
   2. ^2
   9
   3. 5 _^4
   5
   4. 9

Examples 3 and 5 Solve each equation. Check your solution.

5. 1.6k = 3.2 6. 3.9 = 1.3y 7. -2.5b = 20.5


6. 
   
   
   
   • ^1
     2
     = - ^5
     18
     h 9. ^3
     8
     a = ^12
     40
   
   
   
   


7. 
   
   
   
   • 6 = _^4
     7
     x
   
   
   
   

Examples 4 and 6 11. FRUIT Three fourths of the fruit in a refrigerator are apples. There are

24 apples in the refrigerator. Write and solve an equation to find how

many pieces of fruit are in the refrigerator.

12. FINANCIAL LITERACY Dillon DEPOSIT

DEPOSIT

CHECKS

Date: ___________________

Name: ___________________

9/22

Dillon Gates

deposited _^3

4

of his paycheck

into the bank. The deposit slip

shows how much he deposited.

Write and solve an equation to

find the amount of his paycheck.

= Step-by-Step Solutions begin on page R1.

Extra Practice begins on page EP2.

Examples 1 and 2 Find the multiplicative inverse of each number.

13. ^5
    6
    14. ^11
    2
    15. ^1
    6
    16. ^1
    10


14. 3 18. 14 19. 5 _^1
    8


15. 6 _^2
    3

Examples 3 and 5 Solve each equation. Check your solution.

21. 1.2x = 6 22. 2.8 = 0.4d 23. -2.4b = 14.4


22. 
    
    
    
    • 5 w = -24.5 25. 3.6h = -10.8 26. 2.8m = 12.88
    
    
    
    


23. ^2
    5
    t = ^12
    25


24. ^24
    16
    = ^3
    4
    a 2929 ^7
    8
    k = ^5
    6


25. ^2
    3
    = ^8
    3
    b 31. - ^1
    2
    g = - 3 ^1
    3


26. ^3
    5
    c = - 6 ^1
    4

Examples 4 and 6 33. LIFE SCIENCE The average growth of human hair per month is 0.5 inch.

Write and solve an equation to find how long it takes a human hair to

grow 3 inches.

34. SEWING Jocelyn has nine yards of fabric to make table napkins for a
    senior citizens’ center. She needs _^3
    8
    yard for each napkin. Write and solve
    an equation to find the number of napkins that she can make with this
    amount of fabric.

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