CBSE Questions for Class 7 Maths Algebraic Expressions Quiz 5 - MCQExams.com

The sum of three algebric expressions is $$\displaystyle x^{2}+y^{2}+z^{2}$$. If two of them are $$\displaystyle 4x^{2}-5y^{2}+3z^{2}$$ and $$\displaystyle -3x^{2}+4y^{2}-2z^{2}$$ then the third expression is
  • $$\displaystyle 2x^{2}+2z^{2}$$
  • $$\displaystyle 2y^{2}$$
  • $$\displaystyle 2x^{2}+2y^{2}-z^{2}$$
  • $$\displaystyle 2y^{2}+2z^{2}$$
If $$\displaystyle P=3x-4y-8z,\:Q=-10y+7x+11z$$ and $$\displaystyle R=19z-6y+4x$$, then $$P - Q + R$$ is equal to
  • $$\displaystyle 13x-20y+16z$$
  • $$0$$
  • $$x + y + z$$
  • $$\displaystyle 2x-4y+3z$$
$$\displaystyle 5a-\left[ 3b-\left\{ a-3\left( 2a-b \right)  \right\}  \right] $$ is equal to
  • $$\displaystyle -2b$$
  • $$\displaystyle -a+b$$
  • $$0$$
  • $$\displaystyle -a$$
Simplify: $$\displaystyle x^{2}y^{3}-1.5x^{2}y^{3}+1.4x^{2}y^{3}$$
  • $$\displaystyle 0.9x^{2}y^{3}$$
  • $$\displaystyle -0.9x^{2}y^{3}$$
  • $$0.9$$
  • $$-0.9$$
What must be added to $$x^2\,+\, 5x\,-\,6$$ to get $$x^3\, -\,x^2\,+\, 3x\, -\, 2$$?
  • $$x^3\,-\,2x^2\,-\,2x\,-\,4$$
  • $$x^3\,+\,2x^2\,-\,2x\,+\,4$$
  • $$x^3\,-\,2x^2\,-\,2x\,+\,4$$
  • None of these
What must be subtracted from $$x^4\, +\, 2x^2\,-\,3x\, +\, 7$$ to get $$x^3\,+\, x^2\,+\, x\, -\,1$$?
  • $$x^4\, -\,x^3\,+ x^2\, -\, 4x\, +\, 8$$
  • $$x^3\,+\, x^2\, -\, 4x\, +\, 8$$
  • $$x^4\, -\,x^3\, +\, x^2\,+\, 4x\, -\,8$$
  • $$x^4\, -\,x^3\, -\,x^2\,+\, 4x\, -\,8$$
What must be subtracted from
$$x^3 \,-\, 3x^2\, + 5x\, -\, 1$$ to get $$2x^3\, +\, x^2\, - \,4x\, +\, 2$$?
  • $$-x^3\, +\, 4x^2\, -\, 9x\, +\, 3$$
  • $$x^3\, +\, 4x^2\, -\, 9x\, +\, 3$$
  • $$x^3\, -\, 4x^2\, +\, 9x\, -\, 3$$
  • $$-x^3\, -\, 4x^2\, +\, 9x\, -\, 3$$
What must be added to $$x^3\, +\, 3x\, -\, 8$$ to get $$3x^3 \,+ \,x^2\, +\,  6$$?
  • $$2x^3\, +\, x^2\, - \,3x\, +\, 14$$
  • $$2x^2\, + \, x^2\, +\, 14$$
  • $$2x^3\, +\, x^2\, - \,6x\, -\,14$$
  • None of these
What must be added to the sum of $$\displaystyle 2a^{2}-3a+7,-5a^{2}-2a-11$$ and $$\displaystyle 3a^{2}+5a-8$$ to get $$0$$?
  • $$-12$$
  • $$12$$
  • $$\displaystyle a^{2}+a$$
  • $$\displaystyle a-1$$
Which of the following expressions are exactly equal in value?
$${(3x-y)}^{2}-({5x}^{2}-2xy)$$
$${(2x-y)}^{2}$$ 
$${(2x+y)}^{2}-2xy$$ 
$${(2x+3y)}^{2}-8y(2x+y)$$
  • $$1$$ and $$2$$ only
  • $$1,2$$ and $$3$$ only
  • $$2$$ and $$4$$ only
  • $$1,2$$ and $$4$$ only
Subtract:
$$-6p+ q+3r+ 8$$ from $$p -2q - 5r -8$$
  • $$7p-3q+8r-16$$
  • $$7p-3q-8r-16$$
  • $$p-3q-8r+16$$
  • $$p-3q-8r-16$$
What should be added to the product of $$({x}^{2}+xy-{y}^{2})$$ and $$({x}^{2}-xy+{y}^{2})$$ to get $${x}^{2}{y}^{2}$$?
  • $$2{x}^{2}{y}^{2}-{x}^{4}-2x{y}^{3}+{y}^{4}$$
  • $$2xy-x^{3}+2xy+y^{4}$$
  • $$2x^2y^2+x^4+2xy^3-y^4$$
  • $$2x^{2}y^{2}+x^{4}+2xy^{3}+y^{4}$$
Subtract $$(4a -7ab + 3b +12)$$ from $$(12a -9ab+5b -3) .$$
  • $$8a - 2ab + 2b -15$$
  • $$a - ab + 2b -25$$
  • $$a - 2ab + 2b -5$$
  • $$8a - ab + 2b -10$$
Subtract:
$$5y^4-3y^3+2y^2+y-1$$ from $$4y^4- 2y^3 -6y^2-y + 5$$
  • $$-y^4 + y^3-8y^2-2y + 6$$
  • $$y^4 + y^3-8y^2-2y + 4$$
  • $$-y^4 + y^3-8y^2-2y - 4$$
  • $$y^4 + y^3-8y^2+2y + 4$$
$$(5x^{2} + 6x - 3) + (2x^{2} - 7x - 9)$$
  • $$7x^{2} - x - 12$$
  • $$7x^{2} - 2x - 12$$
  • $$7x^{2} - 3x - 12$$
  • None of the above
The total terms in $$-x^3+4x^2+7x-2$$ is 
  • 2
  • 3
  • 4
  • 5
What is to be added to $$2a^3+4ab^2-5b^3-6a^2b$$ to get $$3a^3-4a^2b+11ab^2+b^3$$?
  • $$a^3 + 2a^2b+ 7ab^2-6b^3$$
  • $$a^3 -2a^2b-7ab^2+ 6b^3$$
  • $$a^3+2a^2b+7ab^2+6b^3$$
  • $$a^3+2a^2b-7ab^2+6b^3$$
What must be subtracted from $$3a^2-6ab-3b^2-1 $$ to get $$4a^2-7ab -4b^2 + 1?$$
  • $$-a^2 + ab + b^3-2$$
  • $$-a^2 + ab + b^2-2$$
  • $$a^2 + ab + b^2-2$$
  • $$a^2 + ab + b^3-2$$
How many terms are there in the expression $$5x^3+3xy+y^2$$ ?
  • $$1$$
  • $$2$$
  • $$3$$
  • $$5$$
If we add two binomials $$4x^2+5y^2$$ and $$7x^2+y^2$$, what will be the result?
  • monomial
  • binomial
  • trinomial
  • cannot be determined
What is the measure of the third side of a triangle given that its two sides are $$a^{2} - 2a + 1$$ and $$3a^{2} - 5a + 3$$ and has a perimeter $$6a^{2} - 4a + 9$$?
  • $$2a^{2} - 3a - 5$$
  • $$2a^{2} + 3a - 5$$
  • $$2a^{2} + 3a + 5$$
  • $$2a^{2} - 3a + 5$$
$$3x^{2} - 5x + 2$$
$$5x^{2} - 2x - 6$$
Which of the following is the sum of the two polynomials shown above?
  • $$8x^{2} - 7x - 4$$
  • $$8x^{2} + 7x - 4$$
  • $$8x^{4} - 7x^{2} - 4$$
  • $$8x^{4} + 7x^{2} - 4$$
If $$P=3x-4y-8z$$, $$Q=-10y+7x+11z$$ and $$R=19z-6y+4x$$, then $$P-Q+R$$ is equal to
  • $$13x-20y+16z$$
  • $$0$$
  • $$x+y+z$$
  • $$2x-4y+3z$$
Simplify the polynomial and write it in standard form:
$$-3({x}^{3}-{x}^{2}-2x-5)-(4{x}^{3}-7x-1)$$
  • $$-7{x}^{3}+3{x}^{2}+13x+16$$
  • $$7{x}^{3}+2{x}^{2}+11x+16$$
  • $$-6{x}^{3}+3{x}^{2}+12x+14$$
  • $$-4{x}^{3}+3{x}^{2}+11x+15$$
The sum of three expressions is $${ x }^{ 2 }+{ y }^{ 2 }+{ z }^{ 2 }$$. If two of them are $$4{ x }^{ 2 }-5{ y }^{ 2 }+3{ z }^{ 2 }$$ and $$-3{ x }^{ 2 }+4{ y }^{ 2 }+2{ z }^{ 2 }$$, the third expression is
  • $$2{ x }^{ 2 }+2{ z }^{ 2 }$$
  • $$2{ y }^{ 2 }$$
  • $$2{ x }^{ 2 }+2{ y }^{ 2 }-{ z }^{ 2 }$$
  • $$2{ y }^{ 2 }-4{ z }^{ 2 }$$
Add $$(12x^2+4x+5y)$$ and $$(3x^2-2x+3y)$$.
  • $$2x^2-2x+8y$$
  • $$2x^2+15x+8y$$
  • $$15x^2-2x+8y$$
  • $$15x^2+2x+8y$$
$$x+y-\left( z-x-\left[ y+z-\left( x+y-\left\{ z+x-\left( y+z+x \right)  \right\}  \right)  \right]  \right) $$ is equal to
  • $$3x$$
  • $$2y$$
  • $$x$$
  • $$0$$
Simplify: $$\left( 5{ x }^{ 2 }-3x+2 \right) -\left( { 3x }^{ 2 }+5x-1 \right) +\left( 6{ x }^{ 2 }-2 \right) $$
  • $$5{ x }^{ 2 }-3x+5$$
  • $$6{ x }^{ 2 }-4x+1$$
  • $$8{ x }^{ 2 }-8x+1$$
  • $$8{ x }^{ 2 }-9x+5$$
What is the simplified result of following the steps in order?
$$(1)$$ add $$5y$$ to $$2x$$
$$(2)$$ multiply the sum by $$3$$
$$(3)$$ subtract x$$+$$y from the product
  • $$5x+14y$$
  • $$5x+16y$$
  • $$5x+5y$$
  • $$6x+4y$$
  • $$3x+12y$$
$$\left( 4p{ x }^{ 2 }+5{ q }^{ 2 }y-9rz \right) -\left( -3{ q }^{ 2 }y+7p{ x }^{ 2 }-rz \right) =$$
  • $$11p{ x }^{ 2 }+9{ q }^{ 2 }y-10rz$$
  • $$-3p{ x }^{ 2 }+8q^{2}y-8rz$$
  • $$11p{ x }^{ 2 }+8{ q }^{ 2 }y-8rz$$
  • $$-3p{ x }^{ 2 }-8{ q }^{ 2 }y-10rz$$
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