CBSE Questions for Class 8 Maths Algebraic Expressions And Identities Quiz 8 - MCQExams.com

Simplify: $$\cfrac { { m }^{ 8 }{ p }^{ 7 }{ r }^{ 12 } }{ { m }^{ 3 }{ r }^{ 9 }{ p }^{  } } \times { p }^{ 2 }{ r }^{ 3 }{ m }^{ 4 }$$
  • $${m}^{5}{p}^{8}{r}^{3}$$
  • $${m}^{9}{p}^{8}{r}^{7}$$
  • $${m}^{9}{p}^{7}{r}^{4}$$
  • $${m}^{9}{p}^{8}{r}^{6}$$
$$\left( 3-\sqrt { 7 }  \right) \left( 3+\sqrt { 7 }  \right) =$$?
  • $$4$$
  • $$2$$
  • $$6$$
  • $$8$$
Evaluate: $$-3z^2(-4x^2+10z^4-4xz^5)$$
  • $$12x^2z^2-30z^6+12z^10$$
  • $$12x^2z^2-30z^8+12z^10$$
  • $$12x^4-30z^6+12z^7$$
  • $$12x^2z^2-30z^6+12xz^7$$
Using binomial identities, expand the following expression $$(t+3)^2$$
  • $$t^2-6t-9$$
  • $$t^2+6t-9$$
  • $$t^2+6t+9$$
  • $$t^2-6t+9$$
Find the value of $$(2x+5)(2x-5)$$.
  • $$4x-25$$
  • $$4x^2-25$$
  • $$2x^2-25$$
  • $$4x^2-5$$
Multiply: $$6x^5(-3x^4-2x^3+x^2)$$
  • $$-18x^9-12x^8+6x^7$$
  • $$-18x^5-12x^8+6x^7$$
  • $$-18x^9-12x^5+6x^7$$
  • $$-18x^9-12x^8+7x^7$$
Simplify the following expression: $$(s-r)^2-(s+r)^2$$
  • $$2sr$$
  • $$2s^2+2r^2$$
  • $$-4sr$$
  • $$2s^2-2r^2$$
The value of $$-3x(5k^2+y)$$ is
  • $$-9k^2x-3xy$$
  • $$-15k^2x-3xy$$
  • $$-15k^3x-3xy$$
  • $$-5k^2x-3xy$$
Multiply: $$4x^2z(3x^2y^2-4xz)$$
  • $$2x^4y^2z-16x^3z^2$$
  • $$12x^4y^2z-16x^3z^2$$
  • $$12x^4yz-16x^3z^2$$
  • $$12x^4y^2z-16x^2z^2$$
Simplify: $$7a^3(-4a^4+6a^5)$$
  • $$14a^7$$
  • $$14a^8$$
  • $$-28a^7+42a^8$$
  • $$-28a^7+42a^{15}$$
Reduce the following expression using binomial identities: $$(3x+5)(3x+10)$$.
  • $$9x^2+45x+50$$
  • $$9x^2-45x+50$$
  • $$9x^2+45x-50$$
  • $$9x^2+45-50$$
What is the product of $$(x-2x)^2$$?
  • $$2x^2$$
  • $$x-2x^2$$
  • $$x^2$$
  • $$8x^2$$
If $$x\Box y=(x+y)^2-(x-y)^2$$. Then $$\sqrt 4\Box \sqrt 5=$$.
  • $$0$$
  • $$8\sqrt5$$
  • $$10\sqrt5$$
  • $$15$$
  • $$20$$
The product of $$4{ a }^{ 2 }$$, $$-6{ b }^{ 2 }$$ and $$3{ a }^{ 2 }{ b }^{ 2 }$$ is
  • $${ a }^{ 2 }{ b }^{ 2 }$$
  • $$13{ a }^{ 4 }{ b }^{ 4 }$$
  • $$-72{ a }^{ 4 }{ b }^{ 4 }$$
  • $${ a }^{ 4 }{ b }^{ 4 }$$
The value of the product $$\left( 4{ a }^{ 2 }+3b \right) \left( 9{ b }^{ 2 }+4a \right) $$ at $$a=1$$, $$b=-2$$ is
  • $$60$$
  • $$-80$$
  • $$70$$
  • $$-50$$
The product of the monomials $$\displaystyle \left( 2{ x }^{ 4 }y \right)$$  and $$\left( 3{ x }^{ 5 }{ y }^{ 8 } \right) $$ is :
  • $$\displaystyle 5{ x }^{ 9 }{ y }^{ 9 }$$
  • $$\displaystyle 6{ x }^{ 9 }{ y }^{ 8 }$$
  • $$\displaystyle 6{ x }^{ 9 }{ y }^{ 9 }$$
  • $$\displaystyle 5{ x }^{ 20 }{ y }^{ 8 }$$
  • $$\displaystyle 6{ x }^{ 20 }{ y }^{ 8 }$$
Number of terms in the expansion $$\left( a+b \right) \left( c+d \right) $$ is ________.
  • $$1$$
  • $$2$$
  • $$3$$
  • $$4$$
Multiply the binomials $$\displaystyle \left( 4z+3 \right) $$ and $$\left( z-2 \right) $$ :
  • $$\displaystyle 4{ z }^{ 2 }-5$$
  • $$\displaystyle 4{ z }^{ 2 }-6$$
  • $$\displaystyle 4{ z }^{ 2 }-3z-5$$
  • $$\displaystyle 4{ z }^{ 2 }-5z-6$$
  • $$\displaystyle 4{ z }^{ 2 }+5z-6$$
$$-4p\left( 3q-5p \right) =$$
  • $$-12pq-20{ p }^{ 2 }$$
  • $$-12pq+20{ p }^{ 2 }$$
  • $$-7pq+20{ p }^{ 2 }$$
  • $$-7pq-20{ p }^{ 2 }$$
What is the product $$(x + 2)(x - 3)$$?
  • $$2x-6$$
  • $$3x-2$$
  • $$x^2-x-6$$
  • $$x^2-6x$$
The value of $$(7.2)^2$$ is (use an identity to expand):
  • $$49.9$$
  • $$14.4$$
  • $$51.84$$
  • $$49.04$$
The expansion of $$(2x - 3y)^2$$ is:
  • $$2x^2+3y^2+6xy$$
  • $$4x^2+9y^2-12xy$$
  • $$2x^2+3y^2-6xy$$
  • $$4x^2+9y^2+12xy$$
Which of the following relation is correct.
  • $$3(x - 9) = 3x - 27$$
  • $$3(x - 9) = 3x - 24$$
  • $$3(x - 8) = 3x - 27$$
  • None
The product of the following monomial:
$$-3a,4a,b,-6c,d$$ is $$72{a}^{2}bcd$$
  • True
  • False
$$(a + b)^{2} - (a - b)^{2}=$$ _____.
  • $$4ab$$
  • $$2ab$$
  • $$a^{2} + 2ab + b^{2}$$
  • $$2(a^{2} + b^{2})$$
If $$A=xy, B=yz$$ and $$C=zx$$ then find ABC= $${x}^{2}{y}^{2}{z}^{2}$$
  • True
  • False
On multiplying  the binomials:
$$2a-9$$ and $$3a+4$$ , we get $$6{a}^{2}-19a-36$$
  • True
  • False
State whether the statement is True or False.
Product of $$(kl+lm)$$ and $$(k-l)$$ is equal to $${k}^{2}l-k{l}^{2}+{l}^{2}m-klm$$
  • True
  • False
Find the product of the following pairs:
$$-3l,-2m$$
  • $$6lm$$
  • $$-6lm$$
  • $$4lm$$
  • None of these
Find the product of the following pairs: $$6,7k$$
  • $$42k$$
  • $$21k$$
  • $$23k$$
  • None of these
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