APPLICATION OF EQUATIONS(Translating Verbal Statements to Equations)

WORD/ PHRASES• added to• Increased by• more than• the sum of• plus

(or any positive word that indicates to increased by)

WORD/ PHRASES• subtracted from/to• decreased by• diminished• less than• the difference

WORD/ PHRASES• times• as much as• of• as many as• product of or sometimes not written anymore

WORD/ PHRASES• divided by• the quotient of• ratio• over

WORD/ PHRASES• is• is equal to• equals• is the same as

EXAMPLES:

1.) Three times a number is nine.

3 • x 9=

2.) The sum of a number and seven is twelve.

y + 7 12=

3x = 9

Y + 7 = 12

3.) A number added to six is two.

4.) Twice a number subtracted by nine is equals to five.

ACTIVITY:Translate each verbal sentence into a mathematical sentence.

1. A number added to six is equal to two.

2. A number minus 16 is equal to 38.

3. The difference between 4a and 7 is six.

4. Seven times the sum of 8 and m is equal to 10.

5. Six times a number y less than four is equal to eight.

APPLICATIONS:1. In 1994, twice the population of a barangay ‘n’ in Cavite is

50000. Determine the number of population of the barangay.Representation:

Equation:Solution:

2. The distance ‘d’ that a vehicle travels is computed by multiplying the speed ‘s’ by the time ‘t’ it consumes. What equation represents the time consumed by a plane in traveling a distance of 1468 miles at the speed of 400mi/hr?

APPLICATIONS:3. Patrick is 4 inches taller than Manny. The sum of their

heights is equal to 7. What is the height of Patrick?Representation:

Equation:Solution:

4. The number of 10KD-bills is 4 more than thrice the number of 1KD-bills. If there are X (1KD-bills), what equation in one variable will represent the sentence “The total number of bills is 28”?