Which of the following is an identity?

1

(a)

(b+c)=b²+c²

(b)

b²-c²=(b+c)²-4bc

(c)

b²-c² =(b-c)²

(d)

(b+ c)² =b² + 2bc+c²

Which of the following is a binomial?

1

(a)

13xb+b

(b)

6b²+7a+2c

(c)

45(b²+ a)

(d)

13ax3bx5c

Product of the monomials, -15p, -13q², pq is

1

(a)

-165p²q³

(b)

195p²q³

(c)

195p³q²

(d)

-195p³q²

Which of the following is the numerical coefficient of - 5xy?

1

(a)

5

(b)

-x

(c)

-5

(d)

-y

a² - b² is the product of

1

(a)

(a + b) (a - b)

(b)

(a + b) (a + b)

(c)

(a - b) (a - b)

(d)

none of these

The value of px²-qy² at x=l and y = -1

1

(a)

p-q

(b)

p+q

(c)

pq

(d)

0

Coefficient of y in the term \(\frac { -13 }{ 3 } y\) is_____________

1

(a)

\(\frac { -13 }{ 3 } \)

The product of two polynomials is a_______________

1

(a)

polynomial

Square of (3a+5b) is________

1

(a)

∵(3a+5)²=(3a)²+2.(3a).(5b)+(5b)²=9a²+30ab+25b²

On subtracting -3a²b² from a²b², we get_______

1

(a)

\(\because\) a²b²-(-3a²b²)=a²b²+3a²b²=4a²b²

The coefficient of 7xy is_______

1

(a)

7

The value of (a + b)² + (a - b)² is 4ab.

1

(a) True

(b) False

The coefficient of x²yz in the term -19x²yz is -19.

1

(a) False

(b) True

The difference of the squares of two consecutive numbers is their sum

1

(a) False

(b) True

Like term as 15a³b² is 25a³b²c.

1

(a) True

(b) False

The product of 24xyz² and 3xy² is 72x²y³z². Match the Columns

1

(a) False

(b) True

Two monomials are multiplied. Is the product a monomial or binomial?

1

(a)

monomial

Find the value of at \({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \)x = -1

1

(a)

2

Find the value of \({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } +2x\) at x =1

1

(a)

4

Why are 7x and 7y not like?

1

(a)

7x and 7y are not like because they have different algebraic factors

Why are 7x and 5x² not like?

1

(a)

7x and 5x² are not like because they have different powers of the variable x.

Show on the number line z - 3.

2

(a)

Add 7x² - 4x+ 5, -3X² + 2x- 1and 5x² - x+ 9.

2

(a)

Show on the number line 2x+1

2

(a)

Add the following:
a-b + ab, b-c + bc,c-a + ac

2

(a)

Find 4x ｘ 5yｘ 7z.

2

(a)

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively (20x²,5y²)

2

(a)

Obtain the product of 2, 4y, 8y², 16y³

2

(a)

Simplify the following:
a³b(a²-a³)+ab(a³ -a⁴)

2

(a)

Multiply these binomials:(a + 3b) and (x+ 5)

2

(a)

Find the following squares by using the identities.(b - 7)²

2

(a)

Write two like terms of the following
7xy

3

(a)

Subtract 1+ a² + b² from the sum of 1- a²-b² and a²-b²

3

(a)

Simplify:(ab + bc)² - 2ab²c

3

(a)

1. Classify the following as monomials, binomials and trinomials \(2{ a }^{ 2 }cb+\frac { 1 }{ 2 } cb{ a }^{ 2 },b+1,{ a }^{ 2 }b+{ b }^{ 2 }c+{ c }^{ 2 }a\)

   5

   (a)

2. Evaluate using suitable identities.
   (i) (48)²
   (ii) 181²-19²
   (iii) 497 x 505
   (iv) 2.07 x 1.93

   5

   (a)

1. Evaluate using suitable identities
   (i) (48)²
   (ii) 181²-19²
   (iii) 497x 505
   (iv) 2.07x1.93

   5

   (a)

2. The value of p for 51²- 49²= 100p is 2, Is it true or false

   5

   (a)