Answer :
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.
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.