Linear Equations in One Variable Test

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Linear Equations in One Variable Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

A linear equation in 1 variable is shown below. The variable in equation is _____

y – 3 = 5

A
x

B
y

C
z

D
t

Solution

Given equation: y – 3 = 5

The variable in the equation is y. Hence, B is the correct answer.
Question 2
1 / -0

Which of the following is a linear equation in 1 variable?

A
x + y = 0

B
x = 3

C
x² – 1 = 0

D
x – x³ = 1

Solution

The highest power of linear equation = 1 and number of variables = 1.

From the given options only option B has highest power = 1 and number of variables = 1.

Hence, B is the correct answer.
Question 3
1 / -0

The number of variables in the equation given below is _____

(x + y + z) + 2 = 0

A
2

B
3

C
4

D
5

Solution

The variables in equation = x, y and z

The number of variables = 3. Hence, B is the correct answer.
Question 4
1 / -0

For any general equation, which of the following statement is true?

A
LHS ≠ RHS

B
LHS = RHS

C
LHS = 0

D
RHS = 0

Solution

For any equation the LHS = RHS.

By LHS we mean left hand side and by RHS we mean the RHS.

Example: for any equation:

4x + 2y = 9

Here, LHS = 4x + 2y

And RHS = 9
Question 5
1 / -0

Find the correct value of x by solving this expression: 5x + 12 = 22

A
x = - 2

B
x = 2

C
x = 11/5

D
x = 10

Solution

5x + 12 = 22

Subtracting “12” from both the equations, we get,

5x + 12 – 12 = 22 – 12

5x = 10

x = 2
Question 6
1 / -0

The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. Write this statement in equation form.

A
2x – 5x = 66

B
5x – 2x = 66

C
5x + 2x = 66

D
2 (x-y) = 5 × 66

Solution

Since the ratio of the two numbers is 2 : 5, we may take one number to be

2x and the other to be 5x.

Note here that 2x : 5x is same as 2 : 5.

The difference between the two numbers is (5x – 2x).

It is given that the difference is 66.

∴ the equation is 5x – 2x = 66

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Re-Attempt Weekly Quiz Competition

Linear Equations in One Variable Test - 5

Result

Linear Equations in One Variable Test - 5

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SHARING IS CARING

Question 1

x

y

z

t

Solution

Question 2

x + y = 0

x = 3

x2 – 1 = 0

x – x3 = 1

Solution

Question 3

2

3

4

5

Solution

Question 4

LHS ≠ RHS

LHS = RHS

LHS = 0

RHS = 0

Solution

Question 5

x = - 2

x = 2

x = 11/5

x = 10

Solution

Question 6

2x – 5x = 66

5x – 2x = 66

5x + 2x = 66

2 (x-y) = 5 × 66

Solution

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x² – 1 = 0

x – x³ = 1