Question
Write the expression. Then, check all that apply.
twice the difference of a number and six
A 2-column table with 4 rows. Column 1 is labeled Key Words with entries twice, the difference of, a number, six. Column 2 is labeled Replace with entries 2 times, (minus), n, 6.
Replace “a number” with the variable, n.
The two operations are multiplication and addition.
The two operations are multiplication and subtraction.
The constants are 2 and 6.
The expression is written as 2(n – 6).
The expression is written as 2 × 6 – n.
twice the difference of a number and six
A 2-column table with 4 rows. Column 1 is labeled Key Words with entries twice, the difference of, a number, six. Column 2 is labeled Replace with entries 2 times, (minus), n, 6.
Replace “a number” with the variable, n.
The two operations are multiplication and addition.
The two operations are multiplication and subtraction.
The constants are 2 and 6.
The expression is written as 2(n – 6).
The expression is written as 2 × 6 – n.
Answers
GPT-4o mini
To express "twice the difference of a number and six," we need to break it down step by step:
1. **Identify the components**:
- "a number" is denoted by the variable \( n \).
- "the difference of a number and six" means \( n - 6 \).
- "twice" means to multiply by 2.
2. **Formulate the expression**:
The expression becomes:
\[
2(n - 6)
\]
Now, let's check the options provided:
1. **Replace "a number" with the variable, n**: **True**
- We use \( n \) to represent "a number."
2. **The two operations are multiplication and addition**: **False**
- The operations involved are multiplication and subtraction (not addition).
3. **The two operations are multiplication and subtraction**: **True**
- The expression involves multiplication (the 2 times) and subtraction (the difference \( n - 6 \)).
4. **The constants are 2 and 6**: **True**
- The constants in the expression are indeed 2 (from "twice") and 6 (the number).
5. **The expression is written as 2(n – 6)**: **True**
- This is the correct formulation of the expression.
6. **The expression is written as 2 × 6 – n**: **False**
- This is incorrect and does not reflect the original statement.
### Summary of which statements are applicable:
- Replace "a number" with the variable, n: **True**
- The two operations are multiplication and addition: **False**
- The two operations are multiplication and subtraction: **True**
- The constants are 2 and 6: **True**
- The expression is written as 2(n – 6): **True**
- The expression is written as 2 × 6 – n: **False**
1. **Identify the components**:
- "a number" is denoted by the variable \( n \).
- "the difference of a number and six" means \( n - 6 \).
- "twice" means to multiply by 2.
2. **Formulate the expression**:
The expression becomes:
\[
2(n - 6)
\]
Now, let's check the options provided:
1. **Replace "a number" with the variable, n**: **True**
- We use \( n \) to represent "a number."
2. **The two operations are multiplication and addition**: **False**
- The operations involved are multiplication and subtraction (not addition).
3. **The two operations are multiplication and subtraction**: **True**
- The expression involves multiplication (the 2 times) and subtraction (the difference \( n - 6 \)).
4. **The constants are 2 and 6**: **True**
- The constants in the expression are indeed 2 (from "twice") and 6 (the number).
5. **The expression is written as 2(n – 6)**: **True**
- This is the correct formulation of the expression.
6. **The expression is written as 2 × 6 – n**: **False**
- This is incorrect and does not reflect the original statement.
### Summary of which statements are applicable:
- Replace "a number" with the variable, n: **True**
- The two operations are multiplication and addition: **False**
- The two operations are multiplication and subtraction: **True**
- The constants are 2 and 6: **True**
- The expression is written as 2(n – 6): **True**
- The expression is written as 2 × 6 – n: **False**