Polynomials are expressions that consist of variables, coefficients, and exponents. They can have one or more terms, and each term can be a constant, a variable, or a combination of both.
To solve one-step algebraic equations, you need to isolate the variable by performing one operation on both sides of the equation. For Instance, if you have the equation 3x = 9, you can solve for x by dividing both sides by 3. This gives you x = 3.
Two-step algebraic equations require two operations to isolate the variable. You need to perform the operations in reverse order of operations (PEMDAS/BODMAS). For example, if you have the equation 2x + 5 = 17, you can solve for x by subtracting 5 from both sides first, which gives you 2x = 12. Then, divide both sides by 2 to isolate x, which gives you x = 6.
step-by-step breakdown of solving a two-step equation:
1. Start with the equation: 2x + 5 = 17.
2. Subtract 5 from both sides: 2x = 12.
3. Divide both sides by 2: x = 6.
perform the same operation on both sides of the equation to maintain equality.