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 equal sign and the answer on the other.

-7y + 4 = \( \frac{y}{-7} \)
-7 x (-7y + 4) = y
(-7 x -7y) + (-7 x 4) = y
49y - 28 = y
49y - 28 - y = 0
49y - y = 28
48y = 28
y = \( \frac{28}{48} \)
y = \(\frac{7}{12}\)

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.

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 5cm + 15cm + 15cm = 35cm

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.

4a - 4 < -2 + a
4a < -2 + a + 4
4a - a < -2 + 4
3a < 2
a < \( \frac{2}{3} \)
a < \(\frac{2}{3}\)