ACTIVITY:
A.Transform the following phrases or sentences into
mathematical or algebraic expressions or equations.
1. Four times a number x , diminished by 5 , is equal to
another number y.
2. The sum of the squares of the first two consecutive
numbers is equal to the square of the third number.
3. The average of the three consecutive odd numbers.
4. The product of a and b is equal to the sum of 3x + 2.
5. Three times a number y, is up by 10 , is equal to 21.
6. Chris is 3x younger more than Brend.
7. The squared of a number y is down by 3.
8. The sum of two negative consecutive integers.
9. Three times a number x is up by 5.
10. The sum of a and b is squared.
Answers
Answer:
HEY MATE HERE IS YOUR ANSWER
Problem 1: Translate into a mathematical expression: 5 less than one third of a number.
Product: "The product of a number and 3" means "x · 3", also written "3x" (since multiplication is commutative, the order in which you write the numbers doesn't matter)
Of: "Half of 20" means " 12 · 20"
Division
Quotient: "The quotient of 10 and a number" means "10 · x"
Fractions: Don't forget that any expression written as a fraction is technically a division problem in disguise.
Example 1: Translate into mathematical expressions.
(a) The sum of 6 and twice a number
Solution: The phrase "twice a number" translates into two times the number, or 2x. (Think about ittwice the number 8 would be 2 · 8 = 16.) The word "sum" indicates that you should add 6 and 2x together to get a final answer of 6 + 2x.
(b) The product of 2 and 3 more than a number
Solution: You may be tempted to give an answer of 2 · x + 3, but that equals 2x + 3, or "3 more than 2 times a number." You need to use parentheses to keep the x + 3 together like so: 2(x + 3). Now, the 2 is multiplied by the entire x + 3, not just the x.
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