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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 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 6