Secondary School (English Medium) (5 to 8) Class 7 - CBSE Question Bank Solutions for Mathematics

If = `3/4x - 2` and = x + 6, then find the value of:

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If = `3/4x - 2` and = x + 6, then find the value of:

2 – `3/2`

Write an expression for the sum of 1 and twice a number n. If you let n be any odd number, will the result always be an odd number?

[(–3)²]³ is equal to ______.

The value of `(10^22 + 10^20)/10^20` is ______.

Simplify and express the following in exponential form:

`[(3/7)^4 xx (3/7)^5] ÷ (3/7)^7`

Simplify and express the following in exponential form:

`[(7/11)^5 ÷ (7/11)^2] xx (7/11)^2`

Simplify and express the following in exponential form:

(3⁷ ÷ 3⁵)⁴

Simplify and express the following in exponential form:

`(a^6/a^4) xx a^5 xx a^0`

Simplify and express the following in exponential form:

`[(3/5)^3 xx (3/5)^8] ÷ [(3/5)^2 xx (3/5)^4]`

Simplify and express the following in exponential form:

(5¹⁵ ÷ 5¹⁰) × 5⁵

Evaluate:

`(7^8 xx a^10b^7c^12)/(7^6 xx a^8b^4c^12)`

Evaluate:

`(5^4 xx 7^4 xx 2^7)/(8 xx 49 xx 5^3)`

Evaluate:

`(125 xx 5^2 xx a^7)/(10^3 xx a^4)`

Evaluate:

`(3^4 xx 12^3 xx 36)/(2^5 xx 6^3)`

Evaluate:

`((6 xx 10)/(2^2 xx 5^3))^2 xx 25/27`

Evaluate:

`(15^4 xx 18^3)/(3^3 xx 5^2 xx 12^2)`

Evaluate:

`(6^4 xx 9^2 xx 25^3)/(3^2 xx 4^2 xx 15^6)`

Multiply and reduce to lowest form and convert into a mixed fraction:

`7 xx 3/5`

Multiply and reduce to lowest form and convert into a mixed fraction:

`4 xx 1/3`