Simple Equations Test

Result

Simple Equations Test - 1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which statement correctly represents the equation 2(x + 2) = x − 2?

A
Twice of x equals two more than x.

B
Two more than x equals two less than x.

C
The product of two and two more than x equals two less than x.

D
The product of two and two more than x equals two more than x.

Solution

The given equation is 2(x + 2) = x − 2.

The expression (x + 2) means two more than x.

Thus, 2(x + 2) means the product of two and two more than x.

The expression x − 2 means two less than x

Thus, 2(x + 2) = x − 2 means ‘the product of two and two more than x equals two less than x’.
Question 2
1 / -0

Use the following information to answer the next question.

In a race, each runner is required to complete two rounds of the track. The time taken by Manish to cover the second round was 10 seconds less than twice the time taken by him to cover the first round. In total, he took 71 seconds to complete the race.

If Manish took x seconds to cover the first round, then which of the following equations represents the given situation?

A
10 – 2x = 71

B
3x – 10 = 71

C
10 – 3x = 71

D
2x – 10 = 71

Solution

Time taken to cover the first round = x seconds

It is given that the time taken by him to cover the second round was 10 seconds less than twice the time taken to cover the first round.

Therefore, time taken to cover the second round = (2x – 10) s

It is also given that total time taken to complete the race = 71 s

∴ x + 2x – 10 = 71

∴ 3x – 10 = 71

Thus, the equation 3x – 10 = 71 represents the given situation.
Question 3
1 / -0

Use the following information to answer the next question.

The present age of Rahim and Ram are in the ratio 11: 6. Six years ago, Rahim was twice as old as Ram.

What is the present age of Ram?

A
34 years

B
36 years

C
46 years

D
48 years

Solution

The present age of Rahim and Ram are in the ratio 11: 6.

Then, let the present age of Rahim and Ram be 11x and 6x respectively.

Six years ago, Rahim’s age was (11x − 6) and Ram’s age was (6x − 6).

∴ 11x − 6 = 2 (6x − 6)

⇒ 11x − 6 = 12x − 12

⇒ 12 − 6 = 12x − 11x

⇒ x = 6

∴ Ram’s present age = 6x = 6 × 6 = 36

Thus, Ram’s present age is 36 years.