Question

matching list
listen
match each equation with its corresponding positive, negative, or zero solution.
7x = 32.5 a. negative
3x + 11 = 11 b. zero
-8 + 5x = -20 c. positive

Explanation:

Step1: Solve \(7x = 32.5\)

Divide both sides by 7: \(x=\frac{32.5}{7}\approx4.64\), which is positive. So \(7x = 32.5\) matches c.

Step2: Solve \(3x + 11 = 11\)

Subtract 11: \(3x=0\), then \(x = 0\). So \(3x + 11 = 11\) matches b.

Step3: Solve \(-8 + 5x = -20\)

Add 8: \(5x=-12\), divide by 5: \(x = -2.4\), which is negative. So \(-8 + 5x = -20\) matches a.

Answer:

\(7x = 32.5\) - c. positive; \(3x + 11 = 11\) - b. zero; \(-8 + 5x = -20\) - a. negative