Linear Equation in One Variable

Q. _______is the expression for the statement: the sum of three times x and 11.

Q.

Shivangi is suffering from anaemia as haemoglobin level in her blood is lower than the normal range. A doctor advised her to take one iron tablet two times in a day. If the cost of 10 tablets is Rs. 17, then what amount will she be required to pay for her medical bill for 15 days?

Q. The numerical factor of a term that contains a variable is called a _____.

1. algebraic expression
2. constant
3. numerical expression
4. coefficient

Q.

Question 42.

Answer True/False.

The equations $x+1=0$ and $2x+2=0$ have the same solution.

Q. In a cricket match, Sachin and Sehwag had a partnership of 244 runs. Which of the following equations represents the situation correctly?
(Let the runs scored by Sachin and Sehwag be 'x' and 'y' respectively.)

1. x + y = 122
2. x + y = 244
3. x - y = 244
4. x - y = 122

Q.

Juan has $\$10$ to spend. He needs $\$13$ to purchase the supplies. Explain, how to find the amount of money Juan is short.

Q.

Write the following statement in the form of the equation:"

If 4 is subtracted from $\frac{3}{5}$of a number z, then the result is 11.

Q. Ages of Rupa(x) and her father(y) are related according to the linear equation (y = 25 + x).
Find the age of Rupa when her father was 35 years old.

1. 60
2. 30
3. 10
4. 20

Q. In the given table, observe the relation between x and y. The missing values are

1. 7 and 11
2. 8 and 9
3. 9 and 11

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

(i) $\frac{3q}{2}<5$

Q.

A ball is thrown from point A and it reaches point B which is 7m away. There is another point C which lies somewhere on the line AB. Given that the ball follows a straight path, and AC = 9m, BC = 2m. Which is the point that lies in between other two? Draw the path of the ball. [1 MARK]

Q. Value of q in the equation 4 + q = 4 is

1. 1
2. 4
3. 0
4. 3

Q. The value of m in the following equation $x+9=20$ is

1. 9
2. 10
3. 11

Q. A scooter requires $2$ litres of petrol to cover $80$km. How many litres of petrol is required to cover $1$ km?

Q. Which of the follwoing is true for the equation: 6x - 7 = 0?

1. 6 - coefficient, x - variable, 7 - constant
2. x - coefficient, 6 - variable, 7 - constant
3. x - coefficient, 7 - variable, 6 - constant
4. 7 - coefficient, x - variable, 6 - constant

Q. When a particular number is added to its own reciprocal, the resulting sum is $2$. Find the number.

1. $-1$
2. $-2$
3. $-\frac{1}{2}$
4. $1$
5. $2$

Q. The difference of two positive integers is 4 and the difference of their reciprocals is $\frac{1}{24}$. Find the integers.

1. $0,12$
2. $3,2$
3. $8,12$
4. $1,12$

Q. Is this statement correct "A linear equation in one variable is an equation which can be expresses in form of ax + b = 0, where $a\ne 0$ and a, b are real numbers."

1. Yes
2. No

Q. A bakery gave out coupons to celebrate its grand opening. each coupon was worth either $1$, $3$, or $5$. Twice as many $1$ coupons were given out as $3$ coupons, and $3$ times as many$3$ coupons were given out as $5$ coupons. The total value of all the coupons given out was $360$. How many $3$ coupons were given out?

1. $40$
2. $45$
3. $48$
4. $54$

Q. Which of the follwing equation(s) is/are linear equation(s) in one variable?

1. 2x + 4 = 95
2. x + 9 = 7
3. $x\times 0+1=1$
4. 17 = 3x + 5

Q. The number of fruits in a fruit shop is given as 5p + 2q + 3r, where p, q and r denote the number of apples, pineapples and oranges respectively. Which of the following gives the total number of fruits, when p = 2, q = 5, and r = 5?

1. 30
2. 35
3. 40
4. 45

Q. State true or false:

1. True
2. False

Q. The value of m in the following equation $x+9=20$ is

1. 11
2. 9
3. 10

Q. Value of q in the equation 4 + q = 4 is

1. 3
2. 1
3. 0
4. 4

Q. The value of m in the following equation $x+9=20$ is

1. 10
2. 9
3. 11

Q. Sheila went shopping and spent $120 on a coat. She then used 2/3 of the
remaining money to buy a dress. She was left with 1/5 of her original amount
of money. How much did Sheila have at first?

Q. Value of q in the equation 4 + q = 4 is

1. 4
2. 1
3. 3
4. 0

Q. Erica earns $\$72$ for every $8$ hours she spends at the magic show. She earns $\$60$ for every 5 hours she spends at school. For every $3$ hours she spends at school, she spends $2$ hours at the magic show. Erica spends $15$ hours at school. How much money does she earn in January?

1. $\$270$
2. $\$90$
3. $\$72$
4. $\$180$

Q. Linear equation in one variable is

1. $x^2=5$
2. $x^2+4x=1$
3. $x+3=4$

Q. The two sisters purchased eight toys. How many toys did the other sister buy if the older sister bought 5 for herself?

1. 3
2. 4
3. 5
4. 8