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 combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a + 9a = 12a

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.

-2x - 4 > \( \frac{x}{-1} \)
-1 x (-2x - 4) > x
(-1 x -2x) + (-1 x -4) > x
2x + 4 > x
2x + 4 - x > 0
2x - x > -4
x > -4
x > \( \frac{-4}{1} \)
x > -4

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a⁵ + 7a⁵ = 13a⁵

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

8a x 4b = (8 x 4) (a x b) = 32ab