D. Translate each verbal phrase into an algebraic expression.
1. a diminished by 10 __________
2. The sum of thrice a number x and 5 __________
3. a number m added to 30 __________
4. the product of 5 and n, less 15 __________
5. the quotient of m and twice thr number n __________
E. Transform the following sentences into mathematical sentences and distinguish which are 'equations' and which are 'inequalities'.
1. The quotient of a number x and five results to twenty.
2. The product of ten and the variable y is at most negative fifteen.
3. Five times the sum of x and two yields to five.
4. m is greater than or equal to five but less than or equal to ten.
5. x is equal to one hundred.
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Answers & Comments
Answer:
D.
1.) a - 10
2.) 3x + 5
3.) m + 30
4.) 5 × n - 15 or 5n -15
5.) m ÷2n
E.
1.) x ÷5 =20
2.) y ×10 = -15
3.) x +2 ×5 =5
4.) m > or = to 5 < or equal to 10 (not sure)
5.) x = 100