Introduction to Simple Equations

Q.

Solve the following equation and check your results: $3m=5m-\frac{8}{5}$

Q.

What is the meaning of l.h.s and r.h.s?

Q.

Which of the following are equations?

1. $3x+4y$

2. $x=7y$

3. $6x+7y=0$

4. $x^2-2x$

Q.

Question 47

Answer True/False.

In an equation, the LHS is equal to the RHS.

Q. If the side of a square is x cm long, then find its perimeter.

1. x cm
2. 3x cm
3. 4x cm
4. 2x cm

Q.

Question: 4

Which of the following is an equation ?

(a) x + 1

(b) x - 1

(c) x - 1 = 0

(d) x + 1 > 0

Q. Rohan's mother is $26$ years older than him. The product of their ages $3$ years from now will be $360$. Formulate the quadratic equation to find their ages and find the mother's present age.

Q.

Write an algebraic expression for the statement 3 times a number

Q.

Question 1(g)

State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression.

2m < 30

Q. What is the LHS of the given simple equation?
3x + 1 = 10

1. 3x + 1
2. 10
3. 1
4. 3x

Q.

Add $2a+3b+c+d,-a+b-c-d$ and $3a-4b-2c-2d$. Find the value of the final expression if a=2, b=3, c=4, d=5. [3 MARKS]

Q.

3t >3 is an equation in one variable.

1. True

2. False

Q.

An__________ remains the same, even if expression on LHS and on RHS are interchanged.

Q. In a party room, 20 workers decorate 70 tables. Each table is decorated with 10 silver balloons and 15 gold balloons. Which equation could be used to find x, the total number of silver and gold balloons needed to decorate all the tables ?

1. x = 70(10 + 15)
2. x = 15(70 + 10)
3. x = 70 + (10)(15)
4. x = 20(70 + 10 + 15)

Q. Write each of the following statements as an equation:
(i) 5 times a number equals 40.
(ii) A number increased by 8 equals 15.
(2 marks)

Q.

A boy attends school for 'r' days in a month. The number of days he is absent in a month is two more than one sixth of the days he attends the school. The mathematical expression for the number of days he remains absent in a month is

1. $\frac{r}{6}$ - 2

2. $\frac{r}{6}$ + 2

3. r - 6

4. r + 6

Q.

In thirteen years Gaurav will be twenty-four years old. Write the expression for Gaurav's age for 20 years from now. If after 20 years his father's age is 3 years less than 6 times Gaurav's present age. What is Gaurav's father's present age? [3 MARKS]

Q. Which among the following is an equation?

1. x+y>4
2. x+y<4
3. x+y
4. x+y=4

Q. 5x + 7 > 0 is an algebraic equation.

1. True
2. False

Q.

A student was asked to write an algebraic expression by his teacher. He wrote an expression as: 2$x^3$+3 $x^2$+4x+1

State whether he has written it correctly or not?

1. May be right

2. Can't say

3. Yes

4. No

Q.

Solve the following equation:

$7m+\frac{19}{2}=13$

Q.

The price of a book is 20 more than the cost of a copy. Write an expression for the cost of copy by taking the cost of book to be Rs x.

1. 20x

2. x/20

3. x + 20

4. x – 20

Q.

State which of the following are equations (with a variable). Give reason for your answer .Identify the variable from the equations with a variable

A) 17=x+7

Q.

Is the expression 3t >3 an equation in one variable?

1. Yes

2. No

Q.

Question 1(i)

State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression

$7=(11\times 5)-(12\times 4)$

Q.

9y subtracted from 3 is equal to 4. Express this statement as an equation

1. 9y - 3 = 4

2. 3 - 9y = 4

3. 3 - 9x = 4

4. 3 + 9y = 4

Q. An algebraic equation can't have more than one variable.

1. True
2. False

Q.

Write the following statements in the form of equations.

$44$ increased by $x$is three times $x$

Q.

A jeep was moving with v km/h while going from one city to another. The distance between these two cities is 10 Km. If this distance can be expressed as two kilometers more than half of the speed of the jeep, calculate the speed of the jeep.

1. 14 Km/h

2. 16 Km/h

3. 18 Km/h

4. 20 Km/h

Q.

Solve for $x$:

$3x+4y=85;6x+7y=20$