Ty claims the expressions x + x + 3 and 3x are equivalent. substitute 1 for x in the expressions see

Ty claims the expressions x + x + 3 and 3x are equivalent. substitute 1 for x in the expressions see if ty is correct. x + x + 3 = 3x = are the expressions equivalent, yes or no?

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  1. 3.The value of the second expression is 8, so the expressions are not equivalent.

    Step-by-step explanation:

    x+x+6

    Let x=2

    2+2+6 = 10

    4+3x-2

    Let x=2

    4+3(2) -2

    4+6-2 =8

    The first expression is 10 and the second expression is 8, so the two expressions are not equivalent at x=2

  2. 3(a + b) and 3a + b - NOT EQUIVALENT because

    3(a + b) = 3a + 3b

    used distributive property a(b + c) = ab + ac

    4(x + 2y) and 8y + 4x - EQUIVALENT because

    4(x + 2y) = (4)(x) + (4)(2y) = 4x + 8y = 8y + 4x

    used distributive property a(b + c) = ab + ac

    and commutative property a + b = b + a

  3. no, those expressions are not equivalent, since they have different value for x other than 3, the problem take example x=1

  4. 3(a+b) is not equal to 3a+b

    4(x+2y)  is equal to 4x+8y

    Step-by-step explanation:

    3(a+b)  

    Distribute

    3a+3b

    This is not equal to 3a +b

    4(x+2y)

    Distribute

    4x+8y

    This is equal to 4x+8y

  5. 8x(4+z) and 32x+8z  are not equivalent expressions.

    9(g+h) and 9g+9h  are equivalent expressions.

    Step-by-step explanation:

    8x(4+z) and 32x+8z

    8x(4+z) , distribute 8x inside the parenthesis

    8x times 4= 32x

    8x times z= 8xz

    8x(4+z) = 32x+8xz

    8x(4+z) and 32x+8z  are not equivalent expressions.

    9(g+h) and 9g+9h

    9(g+h), distribute 9 inside the parenthesis

    9 times g is 9g  and 9 times h is 9h

    So 9(g+h)= 9g+ 9h

    9(g+h) and 9g+9h  are equivalent expressions.

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