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.

6a⁷ + 4a⁷ = 10a⁷

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

p = x + y + z
p = 11cm + 6cm + 11cm = 28cm

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.

8a + 5 < \( \frac{a}{6} \)
6 x (8a + 5) < a
(6 x 8a) + (6 x 5) < a
48a + 30 < a
48a + 30 - a < 0
48a - a < -30
47a < -30
a < \( \frac{-30}{47} \)
a < -\(\frac{30}{47}\)

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.

2a + 9a = 11a

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.