Download Writing Equivalent Expressions

Practice
Name
1-11
Writing Equivalent Expressions
Use the Distributive Property to write an equivalent expression by filling
in the missing numbers.
1. 10(x 1 3) 5
x 1
3. 6(7x 2 8) 5
x 2
5. 20x 1 4 5 4(
x 1
)
2. 7(8x 1 2) 5
x 1
4. 24x 2 3 5 3(
x 2
)
6. 9x 1 27 = 9(
x 1
)
Find the missing number(s) so that the expressions are equivalent.
7. 8(2x 2 3) and
x 2 24
9. 6(2x 1 9) and
x 1
11. 18x 1
and
(3x 1 1)
8. 5(3x 2 9) and
x 2
10. 22x 2 11 and
(2x 2
12. 36x 1
and
)
(12x 1 7)
Use the Distributive Property to write an equivalent expression.
13. 3(6x 2 7)
14. 4(9x 2 2)
15. 6(8x 1 1)
16. 35x 1 30
17. 70x 2 10
18. 18x 2 36
19. Geometry The formula for the perimeter of a rectangle is 2l 1 2w, where l is the
length and w is the width. How can you use the Distributive Property to write an
equivalent expression for 2l 1 2w? Explain.
20. Writing to Explain Eliot uses the Distributive Property to write an equivalent
expression for 7(3x 1 4). He writes 21x 1 4. Emma notices that Eliot made a
mistake. How could Emma explain to Eliot where he went wrong? What is the
correct equivalent expression?
P 1•11
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