Indetify the terms, their coeffcients for each of the following expressions.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?

(i) x+y

(ii) 1000

(iii) x+x²+x³+x⁴

(iv)7+a+5b

(v) 2b-3b²

(vi) 2y-3y²+4y³

(vii) 5x-4y+3x

(viii) 4a-15a²

(ix) xy+yz+zt+tx

(x) pqr

(xi) p²q+pq²

(xii) 2p+2q

Add the following algebraic expressions:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Subtract:

(i) -5xy from 12xy

(ii) 2a² from -7a²

(iii) 2a-b from 3a-5b

(iv)

(v)

(vi)

(vii) x² - xy² + xy from x²y + xy² - xy

(viii)

Take away:

(i)

(ii)

(iii)

(iv)

(v)

Subtract 3x-4y-7z from the sum of x-3y+2z and -4x+9y-11z. 

Subtract the sum of 3l-4m-7n² and 2l+3m-4n² from the sum of 9l+2m-3n² and -3l+m+4n²………

Subtract the sum of 2x-x²+5 and -4x-3+7x² from 5.

Simplify each of the following:

(i)

(ii)

(iii)

(iv)

(v)

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Find each of the following products:

Express each of the following prducts as a monomials and verify the result in each case for x=1:

Express each of the following prducts as a monomials and verify the result in each case for x=1:

Express each of the following prducts as a monomials and verify the result in each case for x=1:

Express each of the following prducts as a monomials and verify the result in each case for x=1:

Express each of the following prducts as a monomials and verify the result in each case for x=1:

Write down the product of 8x²y⁶ and-20xy verify the product for x=2.5, y=1

Express each of the following prducts as a monomials and verify the result in each case for x=1:

Evaluate when x=1 and y=0.5

Express each of the following prducts as a monomials and verify the result in each case for x=1:

Find the value of when x = 1,y=0.5

Express each of the following prducts as a monomials and verify the result in each case for x=1:

Evaluate when a=1 and b = 0.5

Express each of the following prducts as a monomials and verify the result in each case for x=1:

Evaluate for x = 2.5 and y=1.

Express each of the following products as a monomials and verify the result for x=1, y= 2:

Express each of the following products as a monomials and verify the result for x=1, y= 2:

Express each of the following products as a monomials and verify the result for x=1, y= 2:

Express each of the following products as a monomials and verify the result for x=1, y= 2:

Express each of the following products as a monomials and verify the result for x=1, y= 2:

Evaluate each of the following when x=2, y -1

Evaluate each of the following when x=2, y -1

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the following products:

Find the product 24x²(1-2x) and evaluate its value for x=3

Find the product -3y (xy+y²) and find its value for x = 4 and y = 5

Multiply and verify the answer for x = 1 and y = 2

Multiply the monomial by the binomial and find the value of each for x=-1, y=0.25 and z=0.005:

(i) 15y² (2-3x)

(ii) -3x (y²+z²)

(iii) z² (x-y)

(iv) xz(x+y²)

Simplify:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Multiply:

Find the following products and verify the result for x=-1, y=-2:

Find the following products and verify the result for x=-1, y=-2:

Find the following products and verify the result for x=-1, y=-2:

Simplify:

Simplify:

Simplify:

Simplify:

Simplify:

Simplify:

Simplify:

Simplify:

Simplify:

Simplify:

Simplify:

Simplify:

Simplify:

Write the following squares of binomials as trinomias:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

(xi)

(xii)

Find the product of the following binomials:

(i) (2x + y) (2x + y)

(ii) (a + 2b) (a – 2b)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Using the formula for squaring a binomial, evaluate the following:

(i)

(ii)

(iii)

(iv)

(v)

Simplify the following using the formula:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Simplify the following using the indentities:

(i)

(ii)

(iii)

(iv)

(v)

Find the value of x, if:

(i)

(ii)

(iii)

If =20, find the value of .

If =3, find the values of and.

If = 18, find the values of and.

If x+y = 4 and xy=2, find the value of x²+y²

If x- y = 7 and xy = 9, find the value fo x²+y²

If 3x+5y = 11 and xy = 2, find the value of 9x²+25y²

Find the values of the following expressions:

(i)

(ii)

(iii)

If find the value of

If find the value of .

If 2x+3y=14 and 2x-3y=2, find value of xy. [Hint: Use (2x+3y)² –(2x-3y)² = 24xy]     

if x²+y² = 29 and xy = 2, find the value of

(i) x+y

(ii) x-y

(iii) x⁴+y⁴

What must be added each of the following expression to make it a whole square?

(i)

(ii)

Simplify:

(i)

(ii)

(iii)

(iv)

(v)

Show that:

(i)

(ii)

(iii)

(iv)

(v)

Find the following products:

(i) (ii)

(iii) (iv)

(v) (vi)

(vii) (viii)

(ix) (x)

(xi) (xii)

(xiii) (xiv)

(xv) (xvi) (y² + ) (y² - )

(xvii)

Evaluate the following:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)