Algebra Practice Question and Answer

Q:

$$4a-{4\over a}+3=0$$ then the value of :   $$ a^3-{1\over a^3}+3=?$$

1181 0

  • 1
    $$3\over 16$$
    Correct
    Wrong
  • 2
    $$7\over 16$$
    Correct
    Wrong
  • 3
    $$21\over 24$$
    Correct
    Wrong
  • 4
    $$21\over 16$$
    Correct
    Wrong
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Answer : 3. " $$21\over 24$$"

Q:

If (10 a3+4b3):(11a3-15b3)=7:5, then (3a+5b):(9a-2b)=?

1180 0

  • 1
    10:13
    Correct
    Wrong
  • 2
    8:7
    Correct
    Wrong
  • 3
    5:4
    Correct
    Wrong
  • 4
    3:2
    Correct
    Wrong
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Answer : 1. "10:13"

Q:

If p, q, r are all real numbers, then (p – q)3 + (q – r)3 + (r – p)3 is equal to 

1178 0

  • 1
    (p – q) (q – r) (r – p)
    Correct
    Wrong
  • 2
    3(p – q) (q – r) (r – p)
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "3(p – q) (q – r) (r – p) "

Q:

Simplify the following expression.

$${\left({375+125} \right)^2-\left({125-375} \right)^2}\over 375×375-125×125$$

1177 0

  • 1
    $$15\over 8$$
    Correct
    Wrong
  • 2
    $$3\over 2$$
    Correct
    Wrong
  • 3
    $$27\over 28$$
    Correct
    Wrong
  • 4
    $$3\over 4$$
    Correct
    Wrong
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Answer : 2. "$$3\over 2$$"

Q:

If a + b – c = 0 then the value of 2b2c2 + 2c2a2 + 2a2b2 –a4 – b4 – c4

1177 0

  • 1
    7
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 2. "0"

Q:

What is the product of (x + a) and (x + b)?

1172 0

  • 1
    x2+(a-b)x+ab
    Correct
    Wrong
  • 2

    x2+(a-b)x-ab

    Correct
    Wrong
  • 3

    x2+(a+b)x+ab

    Correct
    Wrong
  • 4

    x2+(a+b)x-ab

    Correct
    Wrong
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Answer : 3. "

x2+(a+b)x+ab

"

Q:

If x = 19 and y = 18, then the value of   $$ {{x^2}+{y^2}+{xy}}\over x^3-y3 $$ is

1166 0

  • 1
    1
    Correct
    Wrong
  • 2
    37
    Correct
    Wrong
  • 3
    324
    Correct
    Wrong
  • 4
    361
    Correct
    Wrong
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Answer : 1. "1 "

Q:

A complete factorization of x4+64 is 

1165 0

  • 1
    $$\left(x^2+8 \right)^2 \ $$
    Correct
    Wrong
  • 2
    $$\left(x^2+8 \right) \ (x^2-8)$$
    Correct
    Wrong
  • 3
    $$\left(x^2-4x+8 \right) \ (x^2-4x-8)$$
    Correct
    Wrong
  • 4
    $$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$
    Correct
    Wrong
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Answer : 4. "$$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$"

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