How do you solve an equation with absolute value?
SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE (S)
- Step 1: Isolate the absolute value expression.
- Step2: Set the quantity inside the absolute value notation equal to + and – the quantity on the other side of the equation.
- Step 3: Solve for the unknown in both equations.
- Step 4: Check your answer analytically or graphically.
How do you solve absolute inequalities?
Here are the steps to follow when solving absolute value inequalities:
- Isolate the absolute value expression on the left side of the inequality.
- If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
How do I simplify an expression?
To simplify any algebraic expression, the following are the basic rules and steps:
- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
- Use the exponent rule to remove grouping if the terms are containing exponents.
- Combine the like terms by addition or subtraction.
- Combine the constants.
What are the rules of absolute value?
Absolute value equations are equations where the variable is within an absolute value operator, like |x-5|=9. The challenge is that the absolute value of a number depends on the number’s sign: if it’s positive, it’s equal to the number: |9|=9. If the number is negative, then the absolute value is its opposite: |-9|=9.