Name _________________________________________ Date ___________ Period ______ Unit 7: Algebraic Expression - Writing Algebraic Expressions with All Operations Write a variable expression for each word phrase in the space below. Remember to annotate the verbal expression to help you. You may work directly on this worksheet. 1. A number n decreased by three 8. Four more than twice a number 2. 9 more than a number 9. Two less than a number 3. Twice a number 10. Twice a number decreased by one 4. The product of eight and a number 11. Eight less than twice a number 5. The quotient of a number and two 12. Five less than a number squared 6. The sum of six and a number 13. Two more than a number cubed 7. The difference of three and a number 14. Seven less than the product of three and a number 15. Ms. Appel has 25 of paint brushes in her art room. After the first week of school she buys some more paint brushes. Write an expression that shows the number of paintbrushes Ms. Appel has after the 1st week of school. Remember to define the variable. 16. Sam scored 2 less than twice as many points as Jill scored in the basketball game. Write an expression that shows how many points Sam scored. Remember to define the variable. 17. In a hotdog eating contest, Jeff ate 1 more than three times as many hotdogs as Joe. Write an expression that shows the number of hotdogs Jeff ate. Remember to define the variable. Write a verbal expression for each algebraic expression. 18. 6n __________________________________________________________________ 19. 5 + n ________________________________________________________________ 20. n – 2 ________________________________________________________________ 21. 6 – n _______________________________________________________________ 22. 12 ÷ n _______________________________________________________________ 23. n ÷ 5 _________________________________________________________________ 24. 2n – 4 _______________________________________________________________ 25. n² + 1 ________________________________________________________________ 26. 𝑛 8 ___________________________________________________________________
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