Question

1. identify the error made in the following problem, then solve it correctly.

given:
$2x - 7 - 3x - 1 = 7x$
line 1:
$-2x \quad -2x$
line 2:
$7 - 5x - 1 = 7x$
line 3:
$+5x \quad +5x$
line 4:
$6 = 12x$
line 5:
$\overline{12} \quad \overline{12}$
line 6:
$\frac{1}{2} = x$
where was the error? __________
what was the error? __________
answer: __________

1. solve the following equation for the indicated variable.

$v = \frac{1}{3}bh$, solve for $h$
$h = __________$

1. solve the following equation for the indicated variable.

$ax + by = c$, solve for $x$
$x = __________$

1. solve the following equation for the indicated variable.

$s = 3f - 24$, solve for $f$
$f = __________$

1. solve the following equation for the indicated variable.

$r = \frac{4g + wx}{-3}$, solve for $x$
$x = __________$

1. write the equation and solve for the given variable.

surface area (sa) of a triangular prism is the sum of the height (h) multiplied by the perimeter of the triangle (p) and twice the area of the triangle (b). solve for the height (h).
equation: __________
$h = __________$

Explanation:

Answer:

1. Where was the error? Line 2

What was the error? Incorrect combination of like terms (should be \(2x - 3x=-x\), not \(-5x\))