Answer:
Translating Verbal Sentence Into Mathematical Sentence
To translate verbal sentence into mathematical sentence, make a representation for the variable. The variable can be any letter of the alphabet. Most commonly used variable is x. Then, look for the clues which defines the mathematical operation to be used. Examine carefully if the terms of the mathematical phrase are arranged correctly.
Learning Task 1:
Answers:
x + 5 = 12
2x = 54
3x + 2 < 50
\frac{1}{2}
2
1
(x + 4) < 28
x + \frac{1}{3}
3
1
× = 5
Solutions:
1. The sum of a number and 5 is 12.
Let x - the number
then,
x + 5 = 12
2. Twice a number is 54.
Let x - the number
then,
2x = 54
3. Thrice a number increase by 2 is less than 50.
Let x - the number
then,
3x + 2 < 50
4. One half the sum of a number and 4 is less than 28.
Let x - the number
then,
\frac{1}{2}
2
1
(x + 4) < 2
5. A number increased by one-third of the number is 5.
Let x - the number
then,
x + \frac{1}{3}
3
1
×
