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.

5a + 8a = 13a

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.

(2a)(7ab) + (7a²)(3b)
(2 x 7)(a x a x b) + (7 x 3)(a² x b)
(14)(a¹⁺¹ x b) + (21)(a²b)
14a²b + 21a²b
35a²b

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 5 x 1 = \( \frac{5}{2} \) = 2\(\frac{1}{2}\)

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.

7x + 3 < \( \frac{x}{6} \)
6 x (7x + 3) < x
(6 x 7x) + (6 x 3) < x
42x + 18 < x
42x + 18 - x < 0
42x - x < -18
41x < -18
x < \( \frac{-18}{41} \)
x < -\(\frac{18}{41}\)

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 9² + 5²
c² = 81 + 25
c² = 106
c = \( \sqrt{106} \)