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Write algebraic expressions for the following: a) A quarter the difference of a and b. b) Thrice the difference of M and y.

Mathematics

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Answers

2 parts
a

a−b4\frac{a - b}{4}

b

3(M - y)

Step-by-step solution

4 steps

Here are the expressions:

Part a· 2 steps

A quarter the difference of a and b

  1. Identify the "difference of a and b".

    The difference of aa and bb is written as a−ba - b.

  2. Apply "a quarter".

    "A quarter" means multiplying by 14\frac{1}{4} or dividing by 4.
    So, a quarter the difference of aa and bb is 14(a−b)\frac{1}{4}(a - b) or a−b4\frac{a - b}{4}.

    The expression is:

    a−b4\boxed{\frac{a - b}{4}}

Part b3(M - y)

Thrice the difference of M and y

  1. Identify the "difference of M and y".

    The difference of MM and yy is written as M−yM - y.

  2. Apply "thrice".

    "Thrice" means multiplying by 3.
    So, thrice the difference of MM and yy is 3(M−y)3(M - y).

    The expression is:

    3(M−y)\boxed{3(M - y)}
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