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Which steps can be taken to translate the phrase "the height of a tree is increased by seven inches" into an algebraic expression? Check all that apply.

A. Replace "the height of a tree" with a variable, x.
B. Replace "seven inches" with 7.
C. Replace "increased by" with an addition symbol.
D. Write the expression x + 7.

Sagot :

GinnyAnsweridn
To translate the phrase "the height of a tree is increased by seven inches" into an algebraic expression, follow these steps:

1. Replace "the height of a tree" with a variable, x.
- This step represents the unknown height of the tree with a variable. Let's use \( x \) as the variable.

2. Replace "seven inches" with 7.
- This step changes the specified constant quantity "seven inches" into its numerical value, which is 7.

3. Replace "increased by" with an addition symbol.
- In mathematical terms, "increased by" means addition. So, you use the \( + \) symbol to show that the height is being increased.

4. Write the expression x+7.
- Combining the variable for the height of the tree, the addition symbol, and the numerical value gives us the algebraic expression \( x + 7 \).

So, the steps you need to check are:
1. Replace "the height of a tree" with a variable, x.
2. Replace "seven inches" with 7.
3. Replace "increased by" with an addition symbol.
4. Write the expression x+7.
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