1.Fill in the blanks :
(a) The value of the variable which makes the equations a true statement is called the____________of the equation.
(b) Any term of an equation may be taken from one side to the other with a change in its sign. This process is called_________________.
(c) An__________________is a statement of equality which contains one or more unknown variables.
(d) Without changing the equality, we may_______________the same quantity to both side of the equation.
2.Make equations for given statements :
(a) 4 less from thrice a number m is 14.
(b) A number x divided by 4 gives 3.
(c) 7 less than a number x is 4.
3.SOLVE:
(i) 3s =12=0
(ii) 8m-3=13
(iii) 17+3s==-4
(iv)29(1-x) =-12
(v)3x-7=-2
(vi) – 2(x + 3) = 10
4. Solve each of the following equations by trial – and – error method:
(i) x + 3 =12
(ii) x -7 = 10
(iii) 4x = 28
(iv) (x/2) + 7 = 11
(v)3x-5=13
(vi) 5x-23 = 16
5.Solve by transposing method
(a)m - 25.4 = 105
6z + 6 -4z = 9
Solve: 2(x+6)=14
6. Complete the last column of the table.
s.no
Equation
valve
Say, whether the equation is satisfied. (Yes/No)
(iii)
x + 3 = 0
x = - 3
(iv)
x - 7 = 1
x = 7
(vi)
5x = 25
x = 0
(ix)
m = - 6
7. Write equations for the following equations for the following statements:
(i) The sum of numbers x and 4 is 9.
(ii) 2 subtracted from y is 8.
(iii) The number b divided by 5 gives 6.
(iv) Three-fourth of t is 15.
(v) If you take away 6 from 6 times y, you get 60.
8. Write the following equations in statement forms:
(i) 2m = 7
(ii)
(iii) 3p + 4 = 25
(iv) 4p - 2 = 18
9.Frame algebraic equation and solve the problems:
(i)In a class of 42 students, the number of boys is 2/5 of the girls. Find the number of boys and girls in the class.
(ii) Adman’s father is 49 years old. He is 5 years older than four times Adman’s age. What is Adman’s age?
(iii)The sum of three consecutive odd numbers is 51. Find the numbers.
(iv) Aswin says that he has 7 marbles more than five times the marbles Rahul has. Aswin has 37 marbles. (Take m to be the number of Rahul marbles.)
(v)The teacher tells the class that the highest marks obtained by a students in her class is twice the lowest marks plus 7.The highest mark is 87.What is the lowest mark?
(vi)The sum five times a number and 18 is 63.Find the number.
(vii). Anwar thinks of a number. If he takes away 7 from of the number. The result is 23. .
(viii).If a number is tripled & the result is increased by 5, we get 50. Find the number.
(ix)In a class of 60 students, the number of girls is one third the number of boys. Find the number of girls and boys in the class.
(x)The age of Ankur’s father is 7years more than three times Ankur’s age. If Ankur’s father is 64 years old, then find Ankur’s age.
(xi) One-fourth of a number is 5 more than 6. Find the number
10.Solve:
(a) 6x-5= 7
(b) 9x= 27
(c): 4+ 5(p-1) =34
Answers
Answered by
14
Answer:
1.a root
Step-by-step explanation:
hope it'll help you make it brainliest answer please and follow me
Similar questions