Linear Equations in One Variable Test

Result

Linear Equations in One Variable Test - 4

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Question 1
1 / -0

45 added to a number gives 90. The number is

A
45

B
64

C
35

D
55

Solution

Let the number be x.

Then, x + 45 = 90

Hence, x = 90 - 45 = 45
Question 2
1 / -0

If perimeter of a rectangle is 64 cm, and its breadth is 15 cm, then the length of a rectangle is

A
19 cm

B
17 cm

C
18 cm

D
16 cm

Solution

Let x be the length of a rectangle.

Perimeter of a rectangle = 2(Length + Breadth)

Therefore,

64 = 2(x + 15)

64 = 2x + 30

2x = 34

x = 17

Thus, the length of a rectangle is 17 cm.
Question 3
1 / -0

The linear equation 2x + 6 = ______ can represent the price of two products which differ by Rs. 6 and their prices add up to give 45.

A
45

B
40

C
35

D
zero

Solution

Since, the prices of two products differ by Rs. 6, their prices will be x and x + 6.

Sum of prices = 45 (Given)

So, required equation is

x + x + 6 = 45

2x + 6 = 45
Question 4
1 / -0

In a student election, 584 students voted for one of the two candidates for the position of president. If the winner received 122 more votes than the loser, then the number of votes that the loser received is

A
296

B
284

C
200

D
231

Solution

Let the number of votes received by the loser = x

Then, the number of votes received by the winner = x + 122

Total number of votes = 584

Therefore,

x + x + 122 = 584

2x = 584 - 122

2x = 462

x = 231

Hence, the loser received 231 votes.