Write equation for each of the following verbal descriptions.
Question 1 :
Eighteen more than the number n is 125.
n + 18 = 125
Question 2 :
Twenty is 7 less than twice the number w.
20 = 2w - 7
Question 3 :
Nine less than twice x is three more than x.
2x - 9 = x + 3
Question 4 :
Eight less than four times the number c is twenty.
4c - 8 = 20
Question 5 :
The sum of four consecutive integers is -54.
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.
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.
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.
Question 9 :
A number g is decreased by 23 and then multiplied by ½. The result is 8 more than twice the number g.
Question 10 :
The quotient of p and q is twelve less than three times the sum of p and q.
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