Answer :
To write the sentence "31 more than the product of [tex]\( a \)[/tex] and 299 is 122" as an equation, you should follow these steps:
1. Identify the parts of the sentence:
- "The product of [tex]\( a \)[/tex] and 299" can be written as [tex]\( a \times 299 \)[/tex] or simply [tex]\( 299a \)[/tex].
- "31 more than" means we need to add 31 to something.
- "Is 122" means equals 122.
2. Formulate the equation:
- Combine the parts identified: adding 31 to the product of [tex]\( a \)[/tex] and 299 gives us [tex]\( 299a + 31 \)[/tex].
- This expression equals 122, so the equation is:
[tex]\[
299a + 31 = 122
\][/tex]
Now, you have your equation: [tex]\( 299a + 31 = 122 \)[/tex].
1. Identify the parts of the sentence:
- "The product of [tex]\( a \)[/tex] and 299" can be written as [tex]\( a \times 299 \)[/tex] or simply [tex]\( 299a \)[/tex].
- "31 more than" means we need to add 31 to something.
- "Is 122" means equals 122.
2. Formulate the equation:
- Combine the parts identified: adding 31 to the product of [tex]\( a \)[/tex] and 299 gives us [tex]\( 299a + 31 \)[/tex].
- This expression equals 122, so the equation is:
[tex]\[
299a + 31 = 122
\][/tex]
Now, you have your equation: [tex]\( 299a + 31 = 122 \)[/tex].