Solving Linear Expressions A linear expression is a combination of numbers, variables, and operations that can be represented using an equal sign. Solvi...
Solving Linear Expressions
A linear expression is a combination of numbers, variables, and operations that can be represented using an equal sign. Solving an equation with a linear expression involves finding the value of the variable that makes the expression equal to the given value.
Process:
Identify the variables: Look for the variable(s) in the expression.
Identify the constants: Determine the numbers or constants that are not variable(s).
Combine like terms: Group terms with the same variable or constants together.
Solve for the variable: Apply mathematical operations (addition, subtraction, multiplication, division) to isolate the variable on one side of the equal sign.
Check your answer: Plug the value of the variable back into the original expression to ensure it equals the given value.
Examples:
1. Solve the equation 2x + 5 = 11
Variables: x
Constants: 2, 5, 11
Combine like terms: 2x = 6
Solve for x: x = 3
2. Solve the equation 3x - 4 = 19
Variables: x
Constants: 3, 4, 19
Combine like terms: 3x = 23
Solve for x: x = 7
Tips:
Pay attention to the order of operations.
Use inverse operations to manipulate terms.
Simplify expressions as needed.
Check your answers to ensure they make sense in the context of the problem