Can you check these, please?
Convert each of the following verbal phrases to algebraic expressions.
1.twice the number plus 16 is 18
Ans: 2x + 16 = 18
2.the quotient of a number and ten more than fourteen is eleven
Ans: (10 + 14)/x = 11? or x/10 + 14 = 11?
1. Correct
2. x/10 + 14 = 11 or x/(10 + 14) = 11
Thanks!
You're welcome.
To convert verbal phrases to algebraic expressions, you need to understand the mathematical operations involved and assign appropriate variables.
1. Verbal phrase: "Twice the number plus 16 is 18"
In this case, "the number" can be represented by the variable 'x'. "Twice the number" means '2 times x' or '2x'. So, the algebraic expression would be:
2x + 16 = 18
2. Verbal phrase: "The quotient of a number and ten more than fourteen is eleven"
Here, you need to determine what 'The quotient of a number and ten more than fourteen' represents. Let's assign 'x' as the number.
"Ten more than fourteen" means 14 + 10, which equals 24. So, the expression is 'x/24'.
The given verbal phrase states that this quotient is equal to 11. Therefore, the algebraic expression would be:
x/24 = 11
It's important to note that in the second question, the expression could also be written as 'x/10 + 14 = 11' if you interpret the phrase as 'The number divided by 10, plus 14, equals 11.' Both expressions convey the same meaning, but the interpretation may slightly differ.