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15 June, 02:51

Three students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.

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  1. 15 June, 05:58
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    Question is incomplete, here is the complete question below:

    Three students were given the expression shown and were asked to take a common factor out of two of the terms.

    Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.

    7-8x+22

    Calvin: 7-2 (4x+11)

    Calvin's expression is (correct/incorrect) because ...

    Greg: 7+14x

    Greg's expression is (correct/incorrect) because ...

    Ruben: 7+2 (4x+11)

    Ruben's expression is (correct/incorrect) because.

    Equivalent Expression

    The correct simplification of this expression is ...

    Answer:

    The correct simplification of this expression is 7-2 (4x-11)

    Step-by-step explanation:

    Calvin: 7-2 (4x+11)

    Calvin's expression is incorrect because if - 2 is taken as common term then sign (+) should also be changed to (-)

    i. e. 7-2 (4x+11) produces 7-8x-22 which is not equivalent to 7-8x+22

    Greg: 7+14x

    Greg's expression is incorrect because 7+14x is not equivalent to 7-8x+22

    Ruben: 7+2 (4x+11)

    Ruben's expression is incorrect because 7+2 (4x+11) = 7+8x+22 which is not equivalent to 7-8x+22

    Equivalent Expression is 7-2 (4x-11)

    The correct simplification of this expression is 7-2 (4x-11)
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