WRITING EQUATIONS FROM VERBAL DESCRIPTIONS

Write equation for each of the following verbal descriptions.

Question 1 :

Eighteen more than the number n is 125.

Answer :

n + 18 = 125

Question 2 :

Twenty is 7 less than twice the number w.

Answer :

20 = 2w - 7

Question 3 :

Nine less than twice x is three more than x.

Answer :

2x - 9 = x + 3

Question 4 :

Eight less than four times the number c is twenty.

Answer :

4c - 8 = 20

Question 5 :

The sum of four consecutive integers is -54.

Answer :

Let x be the first integer. Then the four consecutive integers are

x, (x + 1), (x + 2), (x + 3) and (x + 4)

Given : The sum of four consecutive integers is -54.

x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = -54

Question 6 :

The sum of four consecutive odd integers is 296.

Answer :

Let m be the first odd integer. Then the four consecutive integers are

m, (m + 2), (m + 4), (m + 6)

Given : The sum of four consecutive odd integers is 296.

m + (m + 2) + (m + 4) + (m + 6) = 296

Question 7 :

The product of three consecutive odd integers is 693.

Answer :

Let y be the first odd integer. Then the three consecutive integers are

y, (y + 2), (y + 4)

Given : The product of three consecutive odd integers is 693.

y(y + 2)(y + 4) = 693

Question 8 :

The sum of three fourths of the number a and 24 is negative 9.

Answer :

Question 9 :

A number g is decreased by 23 and then multiplied by ½. The result is 8 more than twice the number g.

Answer :

Question 10 :

The quotient of p and q is twelve less than three times the sum of p and q.

Answer :

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