Algebraic Expressions and Identities - I

Is the number 65 a monomial ?

• TRUE
• FALSE

Is this 4/5 monomial ?

• TRUE
• FALSE

Can the following expression be a monomial (xyz + a) where 'a' is any whole number 

• For a = 1
• For a = -1
• For a = 0
• Not possible

Subtract x² – 3y² + 7y – 8 from 9x² – xy + y² + 5x – 3y

• 8x² – xy + 4y² + 5x - 10y – 8
• 10x² – xy - 2y² + 5x + 4y + 8
• 10x² – xy + 4y² + 5x - 10y - 8
• 8x² – xy + 4y² + 5x - 10y + 8

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

Add (a - b - c) ; (b - a - c) and (c - a - b)

• (a - b - c)
• (- a - b - c)
• (a + b - c)
• (-a - b + c)

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.NS.A.1

CCSS.7.NS.A.3

What is the product of this monomial and polynomial ?
3xy ( 7z + 2z² + x + yx) 

• 21xyz + 3x²y + 6xy²z + 3x²y²
• 3x²y² + 6xyz² + 3xy² + 21xyz
• 6xy²z + 21xyz + 3xy² + 3x²y²
• 3x²y + 3x²y² + 6xyz² + 21xyz 

The length of a rectangle is decreased by 3 and breadth is increased by 4. The new area of the rectangle found after changing it's dimensions is same as that of original rectangle before any changes were made.
Which among below is a correct equation ?
Consider length of rectangle to be 'l' and breadth of rectangle to be 'b'

• 4l + 3b = 12
• 3l - 4b = 12
• 4l - 3b = 12
• 3l + 4b = 12

A rectangle has a length say 'l' and breadth say 'b'. The length is increased and breadth is decreased by 4 units. The perimeter does not changes and so does the area of rectangle.
Which among below is a relation between length and breadth ?

• b - l = 4
• l - b = 4
• - l - b = 4
• l + b = 4

The expression (l + m) (2m + p) − 2m (p + m) can be simplified as

• 2lm + lp
• 2lm + lp − 2mp 
• 2lm + lp + mp 
• 2lm + lp − mp 

Tags

CCSS.6.EE.A.3

What is the product of (x² − y²) and (3x + 2y)?

• 3x³ − 2y³ + 3x²y + 3xy²
• 3x³ + 2y³ - 2x²y − 3xy²
• 3x³ − 2y³ + 2x²y − 3xy²
• 3x³ − 3y³ + 2x²y − 3xy²

Tags

CCSS.HSA.APR.A.1