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10 February, 16:43

Match each statement with the algebraic expression that models it.

A. the price of a winter coat and a 20% discount

1. x+0.02x=1.02x

B. the base salary of an employee and a 2% salary increase

2. x-0.20x=0.80x

C. the cost of groceries and a 2% discount with coupons

3. x+0.20x=1.20x

D. the number of students attending school last year

4. x-0.02x=0.98x

and a 20% increase from last year

+3
Answers (1)
  1. 10 February, 17:04
    0
    Statement A:

    The price of a winter coat and a 20% discount

    Let the price of the coat = x

    20% discount = 20% of x = 0.20 * x = 0.20x

    The price after the discount = x - 0.20x = 0.80x

    Statement B:

    Let the base salary be 'x'

    2% increase = 2% of x = 0.02 * x = 0.02x

    The salary after increase = x + 0.02x = 1.02x

    Statement C:

    Let the cost of groceries be 'x'

    2% discount means 2% of x = 2% * x = 0.02x

    The cost after discount = x - 0.02x = 0.98x

    Statement D:

    Let the number of students attending last year be 'x'

    20% of x = 20% * x = 0.2x

    The number after increase = x + 0.2x = 1.02x

    The pairs are

    Statement A ⇒ Expression 2

    Statement B ⇒ Expression 1

    Statement C ⇒ Expression 4

    Statement D ⇒ Expression 3
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