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Write out the algebraic expression given in each word problem.
19. three less the stm of and 5
20. double Amy’s age,
21. the number of bacteria, , tripled
22. five less than the product of 5 and
23. half of a number, , less 15
24. the quotient of a number, , and 6

Ask by Lowe Bernard. in the United States
Mar 21,2025

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Here are the algebraic expressions:

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The Deep Dive

For the first problem, we can express “three less than the sum of and 5” as . It’s like adding up your favorite toppings on a pizza and then saying, “Eh, I don’t want a couple of them!”
Next, consider “double Amy’s age, .” This straightforwardly translates to the expression . It’s much like saying you want to celebrate Amy’s birthday twice as big with double the cake!
In the scenario of “the number of bacteria, , tripled,” you would write it as . This is analogous to when you leave a few bacteria alone for a while and suddenly find your science experiment turned into a full-blown infestation!
For “five less than the product of 5 and ,” the expression would be . Imagine scoring 5 points less in your favorite game after a spectacular play—still an awesome product, just not quite as high!
“Half of a number, , less 15” translates to . It’s like slicing your pizza in half but realizing you still wanted to eat those 15 extra slices you saved for later!
Finally, “the quotient of a number, , and 6” simplifies to . It’s as if you’re sharing a pack of cookies equally with six friends—sharing is caring, but fewer cookies per friend can be tough!

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