Write equations for the following statements:
(i) The sum of numbers x and 4 is 9.
(ii) 2 subtracted from y is 8.
(iii) Ten times a is 70.
(iv) The number b divided by 5 gives 6.
(v) Three-fourth of t is 15.
(vi) Seven times m plus 7 gets you 77.
(vii) One-fourth of a number x minus 4 gives 4.
(viii) If you take away 6 from 6 times y, you get 60.
(ix) If you add 3 to one-third of z, you get 30.
The parts of the questions are solved below:
i) According to the question, the sum of numbers x and 4 is 9.
Thus, we can write the equation as,
x + 4 = 9
ii) According to the question, 2 subtracted from y is 8.
Thus, we can write the equation as
y – 2 = 8
iii) According to the question, Ten times a is 70.
Thus, we can write the equation as,
10a = 70
iv) According to the question, The number b divided by 5 gives 6.
Thus, we can write the equation as,
v) According to the question, Three-fourth of t is 15.
Thus, we can write the equation as,
vi) According to the question, Seven times m plus 7 gets you 77.
Thus, we can write the equation as,
7m+ 7 = 77
vii) According to the question, One-fourth of a number x minus 4 gives 4.
Thus, we can write the equation as,
viii) According to the question, If you take away 6 from 6 times y, you get 60.
Thus, we can write the equation as,