Algebra Test

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Algebra Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following is the formula for the following statement?

Mr. Naitik`s age is six times the age of his son, and the sum of their ages is 35.

A
6 × x = 35

B
(6 + x) x = 35

C
x + 6x = 35

D
None of these

Solution

Let Naitik`s son`s age = x
Naitik`s age = 6x
Sum of their ages = 35
x + 6 x = 35
This is the required formula.
Question 2
1 / -0

Sachin bought 5 apples and 6 oranges. The cost of an apple is Rs. 2 more than the cost of an orange. The total money he spent on apples and oranges is Rs. 43. What is the formula for this statement?

A
5x + 6(x + 2) = 43

B
5(x + 2) + 6x = 43

C
11x + 2 = 43

D
5x + 6x = 4

Solution

Let the cost of an orange = Rs. x
Cost of apple = Rs. (x + 2)
A.T.Q: 5(x + 2) + 6(x) = Rs. 43
5(x + 2) + 6x = 43
This is the required formula.
Question 3
1 / -0

The radius of a circle is 2 more than x. What is the area of the circle?

A
(πx + 2)²

B
π (x + 2)²

C
2 (π + x + 2)

D
2π (x + 2)

Solution

Radius of circle = x + 2
Area of the circle = πr²
= π(x + 2)²
Question 4
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Rajiv bought 10 chairs and a table for Rs. 2500. The cost of a table is Rs. 100 more than the price of a chair. Frame a formula to express this.

A
10x + 100x = 2500

B
10 + x + 100 = 2500

C
10x + (100 + x) = 2500

D
100 + x = 2500

Solution

Let the cost of a chair be Rs. x.
∴ Cost of a table = Rs. (100 + x)
Total cost = Rs. 2500
10 (x) + (100 + x) = Rs. 2500
10x + (100 + x) = 2500
Question 5
1 / -0

Rs. 500 is divided among two brothers. One brother gets Rs. 100 more than the other. Find the formula to express this.

A
x + (x + 100) = 500

B
x + 100 + 500

C
x²+ 100 = 500

D
x (x + 100) = 500

Solution

Let one brother gets Rs. x.
Other brother gets Rs. 100 more than x.
∴ Other brother gets = Rs. (x + 100)
Thus, x + (x + 100) = 500

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Re-Attempt Weekly Quiz Competition

Algebra Test - 7

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Algebra Test - 7

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Question 1

6 × x = 35

(6 + x) x = 35

x + 6x = 35

None of these

Solution

Question 2

5x + 6(x + 2) = 43

5(x + 2) + 6x = 43

11x + 2 = 43

5x + 6x = 4

Solution

Question 3

(πx + 2)2

π (x + 2)2

2 (π + x + 2)

2π (x + 2)

Solution

Question 4

10x + 100x = 2500

10 + x + 100 = 2500

10x + (100 + x) = 2500

100 + x = 2500

Solution

Question 5

x + (x + 100) = 500

x + 100 + 500

x2 + 100 = 500

x (x + 100) = 500

Solution

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(πx + 2)²

π (x + 2)²

x²+ 100 = 500