Question

Match the equation with its equivalent form, one that has been solved for a different variable.

A)Equation: P = 2w + 21, Equivalent Form: h = 1
B)Equation: Z = 3vw - t, Equivalent Form: t = Z - 3vw
C)Equation: I = prt, Equivalent Form: A = 22h
D)Equation: 1 = 2P - 2w, Equivalent Form: t = 3vw - Z

Answer 1

The correct match for the equation with its equivalent form solved for a different variable is B) Equation: Z = 3vw - t, Equivalent Form: t = Z - 3vw.

Step-by-step explanation:

The student is asked to match each equation with its equivalent form that has been solved for a different variable. Let's consider each option:

• A) Original: P = 2w + 2. This is solved for variable P. The equivalent form, h = 1, does not match as it does not represent the same relationship between variables.
• B) Original: Z = 3vw - t. The equivalent form should isolate t, which would be t = Z - 3vw. This equivalent form correctly represents the original equation solved for t.
• C) Original: I = prt. The equivalent form should represent this relationship solved for a different variable. A = 22h is unrelated and cannot be derived from the original equation.
• D) Original: 1 = 2P - 2w. This could be solved for either P or w, but the equivalent form t = 3vw - Z does not match any manipulation of the original equation.

Hence, the correct match is B) Equation: Z = 3vw - t, Equivalent Form: t = Z - 3vw.