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Algebraic Expressions Test - 2

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Algebraic Expressions Test - 2
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Weekly Quiz Competition
  • Question 1
    1 / -0

    What is the difference between 3a + 2b and − 2a − 5b?

    Solution

    (3a + 2b) − (−2a − 5b) = 3a + 2b + 2a + 5b = 5a + 7b

  • Question 2
    1 / -0

    A rectangle is 3p cm long and 2p cm wide. Find the perimeter of the rectangle when p = 12.

    Solution

    Perimeter =2 (l + b) = 2 (3p + 2p) = 2 (5p) = 10p cm ∴ Perimeter when p =12 cm is 10 (12) = 120 cm..

  • Question 3
    1 / -0

    What is the 4th term of a pattern described by the expression n2 + 1?

    Solution

    Substitute n = 4 in n2 + 1 and simplify. 

    n2 + 1 = (4)2 + 1 = 16 + 1 = 17

  • Question 4
    1 / -0

    The value of 9x2 + 49y2 − 42xy when x = 15 and y=3 is ____.

    Solution

    When x=15 and y=3, we have 9×(15)2+49×(3)2−42×15×3
    =2025 + 441−1890 = 576

  • Question 5
    1 / -0

    For any natural number n, what does 2n + 1 denote?

    Solution

    denotes an odd number since it leaves a remainder 1 when divided by 2.

  • Question 6
    1 / -0

    Group the like terms together:

    12x, 12a, 25p, -25, 25q, 1, x

    Solution

    The terms which have the same variable coefficients raised to the same powers but may only differ in numerical coefficient are called similar or like terms.

    For example:

    (i) 3m and –7m are like terms.

    (ii) z and 3/2z are like terms.

    So, according to the given question, 12x and x are like terms.

  • Question 7
    1 / -0

    Rohan spends Rs. x daily and saves Rs. y per week. What is his income in 3 weeks?

    Solution

    mount of money spend in 1 day = Rs. x So, amount of money spend in 7 days = Rs.(7 x) ⇒ Amount of money spend in 1 week = Rs.(7 x) Amount of money saved in 1week = Rs.y ∴  Income in 1 week Rs.(7x+y) So, income in 3 weeks 

    =Rs.[3×(7x+y)] =Rs.(21x+3y)

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