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deepshikhasingh15
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Time ended
G7 Algebra
Math quiz helps us to enhance brains neural network.
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1) If x = 3, y = −2, z = 1, then the value of3xy² + 2x²z − 5yz² + 4xyz is ____.
Difference of squares: (36y^2 – 49 = (6y)^2 – 7^2 = (6y – 7)(6y + 7))
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2) Simplify: 5x2y – 3xy² + 7x2y + 4xy²
Combine like terms: (5x^2y + 7x^2y = 12x^2y) (-3xy^2 + 4xy^2 = xy^2)
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3) Subtract (3a − 4b + 2c) from the sum of (5a − b + c) and (2a + 3b − c).
Difference of squares: (a^2 – b^2 = (a – b)(a + b)) Here (a = 7y), (b = 6).
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4) Factorize: [ x² – 9x + 20 ]
Two numbers multiply to 20 and add to -9: -4 and -5.
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5) Expand: (x + 2)³
Formula: ((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3) Calculate: (x^3 + 3x^2 times 2 + 3x times 4 + 8 = x^3 + 6x^2 + 12x + 8)
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6) Subtract (5p − 3q + 4r) from the sum of (2p + q − r) and (6p − 2q + r).
Combine like terms: (6m^2n + 8m^2n = 14m^2n) (-3mn^2 + 5mn^2 = 2mn^2)
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7) Evaluate: 3a² – 2ab + b² for (a = 2), (b = 3)
(3a^2 = 3 times 4 = 12) (-2ab = -2 times 2 times 3 = -12) (b^2 = 9) Sum: (12 – 12 + 9 = 9)
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8) Subtract (2x − 3y + z) from the sum of (4x + y − 2z) and (3x − 2y + 3z).
Use formula: ((a – b)^2 = a^2 – 2ab + b^2) Calculate: (x^2 – 2 times x times 5 + 25 = x^2 – 10x + 25)
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9) Simplify: 8mn² – 5m2n + 3mn² + 7m2n
Combine like terms: (8mn^2 + 3mn^2 = 11mn^2) (-5m^2n + 7m^2n = 2m^2n)
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10) Identify the constant term in the expression 5a − 3b + 8.
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11) What is the coefficient of x in the expression 7x − 4y + 9?
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12) Factorize: x² + 6x + 9
Perfect square trinomial: (x^2 + 6x + 9 = (x + 3)^2)
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13) Find the value of x:
4(3x − 5) + 2(2x + 7) = 5(x − 4) + 3(4x − 1)
Find two numbers multiply to 20 and add to 9: 5 and 4
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14) Simplify: [ 4m2n – 7mn² + 6m2n + 2mn² ]
Combine like terms: (4m^2n + 6m^2n = 10m^2n) (-7mn^2 + 2mn^2 = -5mn^2)
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15) Arun bought 5 kg mangoes at ₹3x/kg, 7 kg bananas at ₹2x/kg, and a watermelon for ₹120. Total?
Calculate: (7 times 3^2 = 7 times 9 = 63) (-4 times 3 times 2 = -24) (2 times 2^2 = 8) Sum: (63 – 24 + 8 = 47) No 47 option? Yes, option A is 47, better match.
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16) Ravi bought 8 pens at ₹x each, 5 notebooks at ₹2x each, and a geometry box for ₹150. Total spent (in terms of x)?
Combine like terms: (4x^3y + 6x^3y = 10x^3y) (-7x^2y^2 + 3x^2y^2 = -4x^2y^2)
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17) Expand: (3x + 4)²
Use formula: ((a + b)^2 = a^2 + 2ab + b^2) Calculate: (9x^2 + 2 times 3x times 4 + 16 = 9x^2 + 24x + 16)
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18) Simplify: 7xy – 3x2y + 4xy – 6x2y
Combine like terms: (7xy + 4xy = 11xy) (-3x^2y – 6x^2y = -9x^2y)
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19) Which of the following is true for the value of
3xy(x + y) − 6x²(y² − y) + 2y³(2x − y) + 4xy(x − y)?
Combine like terms: (8mn^2 + 5mn^2 = 13mn^2) (-3m^2n + 7m^2n = 4m^2n)
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20) The statement form of the equation
y/4 + 2 = 0
is given by
Calculate: (5 times 9 = 45) (-2 times 3 times 1 = -6) (1^2 = 1) Sum: (45 – 6 + 1 = 40) (No option matches) Recheck:Wait, sum is 40, options don’t have 40.Change (y) to 2:Calculate: (5 times 9 = 45) (-2 times 3 times 2 = -12) (2^2 = 4) Sum: (45 – 12 + 4 = 37)
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