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Mathematics, 12.11.2020 21:50 22katelynfrankouqqrb
A student is attempting to evaluate the literal equation below. Which statement best applies to the sample
mathematical work shown?
Given: w+ xy + 3x2 = 2 and x = 2 y, find w when y = -2.
Step 1: I first substitute y = -2 into x = 2 y, yielding x = 2(-2).
Step 2: I simplify the expression, resulting in x = 4.
Step 3: I substitute x = 4 and y=-2 into w + xy + 3x2 = 2 and get
w+4(-2)+3(4)2 = 2
Step 4: I use order of operations to simplify and get w - 8+ 48 = 2
So w = -38.
A. The student's substitution in step 1 is invalid or incorrect.
B. The simplification performed in step 2 is invalid or incorrect.
C. Raising 4 to the second power in step 3 before multiplying it by 3 is an invalid or incorrect.
D. The mathematical work is correct as written.
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