You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

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.

5c - 9 > \( \frac{c}{-7} \)
-7 x (5c - 9) > c
(-7 x 5c) + (-7 x -9) > c
-35c + 63 > c
-35c + 63 - c > 0
-35c - c > -63
-36c > -63
c > \( \frac{-63}{-36} \)
c > 1\(\frac{3}{4}\)

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:

x² - 10x + 17 = -2x + 2
x² - 10x + 17 - 2 = -2x
x² - 10x + 2x + 15 = 0
x² - 8x + 15 = 0

Next, factor the quadratic equation:

x² - 8x + 15 = 0
(x - 3)(x - 5) = 0

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

If (x - 3) = 0, x must equal 3
If (x - 5) = 0, x must equal 5

So the solution is that x = 3 or 5

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.

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

4b(b - x)
4(6)(6 - 4)
4(6)(2)
(24)(2)
48