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Mathematics, 05.01.2021 19:00 abby20164
Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to β2x β 5 by using the steps below.
Expression: Negative (4 x minus 5) + 2 (x minus 3)
Expression: β2x β 5
Step 1:
Choose a value of x
Choose x = 1.
Choose x = negative 1.
Step 2: Substitute
Negative (4 (1) minus 5) + 2 (1 minus 3)
Negative 2 (negative 1) minus 5
Step 3: Evaluate
Negative (4 (1) minus 5) + 2 (1 minus 3) = negative (negative 1) + 2 (negative 2) = negative 3
Negative 2 (negative 1) minus 5 = 2 minus 5 = negative 3
Step 4:
Compare
Since β3 = β3, the two expressions are equivalent.
Which explains whether Sophia is correct?
She is correct because the value of the two expressions are the same in Step 3.
She is correct because she substituted opposite values in Step 1.
She is not correct because she did not substitute the same number in both expressions in Step 1.
She is not correct because she did not perform the correct order of operations in Step 3.
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Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to β2x β...
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