Simple Linear Equation

Q.

Write the following in the form of equations:

$3$ times a number $x$ exceeds $5$ by $7$

Q.

Form the linear equation from the following statement and then solve.

$7$ more than $9$ times a number is $43$. What is the number?

Q. Sameer has some bananas, Rohan has 7 more than Sameer. Manshi says that she has 6 more bananas than the number of bananas Sameer and Rohan have together. How many bananas does Manshi have?

1. $x+7$
2. $2x+7$
3. $x+13$
4. $2x+13$

Q.

Write a suitable statement for each of the following algebraic expressions:

$4x>2$

Q.

Choose the equation that represents the given statement.
"When three-fourth of a number is subtracted from 5, the result is 4.".

1. $5-\frac{3}{4}x=4$

2. $\frac{3}{4}x-5=4$

3. $x-\frac{3}{4}=5$

4. $5-4x=\frac{3}{4}$

Q. Form an equation from the given statement and solve it using the trial-and-error method: One fourth of a number y minus 4 gives 4.

Equation	Solution
	m LHS LHS = RHS 4 8 12

Q.

Formulate an equation for the following statement:​

‘Seven times a number is 12 less than thirteen times the same number.’​

Q.

The cost of one food packet is ₹ 45 with a fixed delivery charge of ₹ 10. The total cost of $y$ food packets is given by ___.

1. ₹ (45 + 10 + y)

2. ₹ (45y + 10)

3. ₹ (45 - 10y)

4. ₹ (45 + 10y)

Q. If 2x + 3 = 5, then the value of 3x + 2 is

1. 3
2. 2
3. 1
4. 5

Q. Form an equation from the given statement and solve it using the trial-and-error method: ‘The sum of three times a number ‘t’ and 10 is 22.​

Equation	Solution
	t LHS Is LHS = RHS?

Q. If the highest degree of the variable in an equation with one variable is , then it is called a linear equation.

1. 2
2. 1
3. 3

Q. Frame an equation for the given statement: ‘One-fourth of a number is 20 less than the number itself.’​
A) $\frac{x}{4}=x-20$
B) $\frac{x}{4}-20=x$
C) x - 20 = 4
D)$\frac{x}{4}=20-x$

Q. 4a+2x=1 is a linear equation in one variable.

1. True
2. False

Q. 7x+8y is a linear equation in one variable.

1. False
2. True

Q. 98x+100=65 is a linear equation.

1. True
2. False

Q. Match the following with suitable nomenclatures.

1. Expression
2. Constant
3. Equation
4. Variable

Q.

Solve the given equation by systematic method:

$x+4=6$

Q. If $\frac{2x}{9}=8,$ then the value of $x$ which balances the equation is .

1. 46
2. 26
3. 36

Q.

If x is an even number, then the next even number is ______.

1. 2(x+2)

2. 2(x+1)

3. (x+2)

4. 2x

Q.

Rina and Tina went to the market to buy half a dozen apples and two chocolates one for each. What is the amount (in ₹) they spent if each apple cost $₹x$ and each chocolate $₹y$?

1. $₹(12x+y)$

2. $₹(6x+y)$

3. $₹(12x+2y)$

4. $₹(6x+2y)$