To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

2a + 2 > \( \frac{a}{7} \)
7 x (2a + 2) > a
(7 x 2a) + (7 x 2) > a
14a + 14 > a
14a + 14 - a > 0
14a - a > -14
13a > -14
a > \( \frac{-14}{13} \)
a > -1\(\frac{1}{13}\)

A trapezoid is a quadrilateral with one set of parallel sides.

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² + 6y + 16 = -2y + 1
y² + 6y + 16 - 1 = -2y
y² + 6y + 2y + 15 = 0
y² + 8y + 15 = 0

Next, factor the quadratic equation:

y² + 8y + 15 = 0
(y + 3)(y + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y + 5) must equal zero:

If (y + 3) = 0, y must equal -3
If (y + 5) = 0, y must equal -5

So the solution is that y = -3 or -5

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².