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

What should be added to x³ + 3x²y + 3xy² + y³ to get x³ + y³?

What should be added to 3pq + 5p²q² + p³ to get p³ + 2p²q² + 4pq?

How much is y⁴ – 12y² + y + 14 greater than 17y³ + 34y² – 51y + 68?

Each symbol given below represents an algebraic expression:

= 2x² + 3y,  = 5x² + 3x,  = 8y² – 3x² + 2x + 3y

The symbols are then represented in the expression:

Find the expression which is represented by the above symbols.

Translate the following algebraic expression:

8(m + 5)

Write two different algebraic expressions for the word phrase “`(1/4)` of the sum of x and 7.”

At age of 2 years, a cat or a dog is considered 24 “human” years old. Each year, after age 2 is equivalent to 4 “human” years. Fill in the expression [24 + (a – 2)] so that it represents the age of a cat or dog in human years. Also, you need to determine for what ‘a’ stands for. Copy the chart and use your expression to complete it.

Age	[24 + (a – 2)]	Age (Human Years)
2
3
4
5
6

`(2/3)^3 xx (5/7)^3` is equal to ______.

`((-3)/5)^100 = (-3^100)/(-5^100)`

`(4/3)^5 xx (5/7)^5 = (4/3 + 5/7)^5`

5⁰ × 25⁰ × 125⁰ = (5⁰)⁶

Find the value of n, where n is an integer and `2^(n - 5) xx 6^(2n - 4) = 1/(12^4 xx 2)`.

Express the following in single exponential form:

2³ × 3³

Express the following in single exponential form:

5² × 7²

Express the following in single exponential form:

(–5)⁵ × (–5)

Express the following in single exponential form:

(–3)³ × (–10)³

Express the following in single exponential form:

(–11)² × (–2)²

A student said that `3^5/9^5` is the same as `1/3`. What mistake has the student made?

The number of lines of symmetry in the figure given below is ______.

In which of the following cases, a unique triangle can be drawn?