Solution of a Simple Linear Equation

Q.

Solve the following equation: $\frac{2x}{3}=18$

Q. Simran had ₹35 to spend on 5 books. After buying them she had ₹10 left. Find the cost of each book.

1. 6
2. 7
3. 4
4. 5

Q.

Identify the variables from the following expressions:

$\mathrm{b}(3+\mathrm{b})$

Q.

$15-x=4$ Solve it for $x.$

Q.

Find the perimeter of the square of side $a$ unit . What will be the perimeter if its side becomes $2a$ unit ?

Q.

A bird shooter was asked how many birds he had in his bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds did he have in all in his bag?

A. 9

B. 18

C. 27

D. 36

Q. In a test of 60 marks anmol he gets +3 marks for every correct answer and -1 for every wrong answer. If he scores 32 how many questions did he attempt wrong considering he attempted all the questions

Q.

Forest Park Campgrounds charges a $\$100$ membership fee plus $\$35$ per night.

Woodland Campgrounds charges a $\$20$ membership fee plus $\$55$ per night.

Your friend says that if you plan to camp for four or more nights, then you should choose Woodland Campgrounds.

Is your friend correct? Explain.

Q.

After buying a toy from the shop, I am left with ₹15 from my 100 rupees of pocket money. Then, find the cost of toy (in rupees).

1. $15$

2. $100$

3. $85$

4. $75$

Q.

The width of a rectangle is three more than twice the length.

The perimeter is $96$ inches.

Find the length and the width.

Q. Riya scored 29 in math, which is 13 less than Priya. Write the equation for Priya's mark.

1. 13 + x = 29
2. x + 29 = 13
3. x - 13 = 29
4. 29 - x = 13

Q.

A truck left the station at $6\mathrm{A}.\mathrm{M}.$ traveling at a rate of $45\mathrm{km}/\mathrm{h}$. A van left the same place $2\mathrm{hours}$ later heading in the same direction at a rate of $54\mathrm{km}/\mathrm{h}$. At what time will the van catch up with the truck?

Q. https://photos.app.goo.gl/Sp5b6Td3uLgjn3q49

Q.

Mr Sharma has a TV shop. He asked his employee that he would give him $₹110$ as bonus on each TV sold. An employee got $₹3630$ from his employer as bonus at the end of a month. Find how many TVs did the employee sell in that month.

Q. What should be the value of $b,$ if the value of $29xy+7x-10+6b$ is 18, when $x=2$ and $y=-1$?

1. 12
2. 14
3. 10
4. 11

Q. In the equation $12x+7-6x=4x+11,$ the value of $x$ is.

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

Q. What is the value of the unknown in the equation: [4 MARKS]

(i) $2x+4=10$

(ii) $11x-7=5(x+7)$

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

(iv) $2y+\frac{5}{2}=\frac{37}{2}$

Q. In a quiz program, the correct answer gets you $2$ marks. For each wrong answer, one mark is deducted from the total score. There are $50$ questions to be answered. If Preeti scored $76$ marks for the quiz, how many of her questions were right?

1. $26$
2. $13$
3. $42$
4. $38$

Q.

What will be the value of $x$ if $\frac{x+1}{x+4}=\frac{2}{3}$, where $x\ne -4?$

1. 3

2. 4

3. 5

4. 6

Q. A shopkeeper has an unknown weight in his shop. He weighs 1 kg of rice and the unknown weight together. The combined weight of the rice and the unknown weight is 1.5 kg. Find the unknown weight (in grams).

1. 500 g
2. 1000 g
3. 750 g
4. 1500 g

Q.

When you subtract 10 from thrice the number, the results was 17.Find the unknown number? [2 MARKS]

Q. The dimensions of a triangle are in the ratio of 2: 4: 5 and its perimeter is 66 m. The largest side of the triangle is _____ m.

1. 12
2. 24
3. 30
4. 36

Q.

The number of diagonals in a hexagon is_________.

Q.

Find the value of $x$ in the following equation:
$2x+5=3(x+2)$

1. 3

2. 1

3. -2

4. -1

Q. Area of a rhombus is $60c{m}^2$ . Find the length of a diagonal if the length of the other diagonal is 10 cm.

1. 12 cm
2. 15 cm
3. 24 cm
4. 6 cm

Q.

Checkwhether the value given in the brackets is a solution to the givenequation or not:

(a) n+ 5 = 19 (n = 1) (b) 7n + 5 = 19 (n = − 2)

(c) 7n+ 5 = 19 (n = 2) (d) 4p − 3 = 13 (p = 1)

(e) 4p− 3 = 13 (p = − 4) (f) 4p − 3 = 13 (p= 0)

Q. If you add 5 to the LHS of the equation 9x + 8 = 15, the balanced equation will be .

1. 9x + 8 + 5 = 15 + 5
2. 9x + 8 - 5 = 15 - 5
3. 9x + 8 + 5 = 15 - 5
4. 9x + 8 - 5 = 15 + 5

Q. Let R be a relation on N defined by x + 2y = 8. The domain of R is

(a) [2, 4, 8]
(b) [2, 4, 6, 8]
(c) [2, 4, 6]
(d) [1, 2, 3, 4]

Q. If the diagonals of a rhombus are $24cm$ and $10cm$, then the area and perimeter of the rhombus are respectively

1. $120sqcm,52cm$
2. $240sqcm,64cm$
3. $120sqcm,64cm$
4. $240sqcm,52cm$

Q. Area of a rhombus is $850$ ${\text{cm}}^2$ If one of its diagonal is $34$ cm. Find the length of the other diagonal.