GED Math Review: Multiplying and Expanding Linear Expressions

Questions:

A. Multiply using the distributive property to write an equivalent expression.

1. 3(m + 7)
   _________________
2. 4(2t + 3)
   _________________
3. 5(9 + 6r)
   _________________
4. 8(4m - 2n)
   _________________
5. 2(9 + 5k)
   _________________
6. 5(3m + 2)
   _________________
7. 6(h + h)
   _________________
8. -4(x + 4)
   _________________
9. -3(y - 5)
   _________________
10. -6(-x - 1)
    _________________
11. -1/2(8 - 6n)
    _________________
12. 4/5(x - y)
    _________________
    
    B. Use the distributive property to write an equivalent expression using the greatest common factor.
13. 4d + 8
    _________________
14. 21p + 35q
    _________________
15. 18x + 9y
    _________________
16. -2 + 12
    _________________
17. 6c - 9d
    _________________
18. 24 - 18b
    _________________
19. -2/3h - 2
    _________________
20. -3/4x - 1/4y
    _________________

Answers:

1. 3m + 21
2. 8t + 12
3. 45 + 30r
4. 32-16n
5. 18 + 10k
6. 15m + 10
7. 6g + 6h
8. -4 -16
9. -3y + 15
10. 6x + 6
11. -4 + 3n
12. 4/5x - 4/5y
13. 4(d + 2)
14. 7(3p + 5q)
15. 9(2x + y)
16. -2(x - 6)
17. 3(2c - 3d)
18. 6(4 - 3b)
19. -2/3(h + 3)
20. -1/4(3x + y)

Reference:

Complete Test Preparation for the GED Test 2014 by Steck-Vaughn