6 Questions
What is the first step in solving an equation?
Subtraction
What is the solution to the equation 3x + 5 = 14?
x = 6
What happens to an equation if the same value is added to both sides?
The equation is simplified
What is the difference between an equation and an expression?
An equation involves an equal sign and represents a statement that two expressions are equal, while an expression is a mathematical phrase that can contain variables, constants, and operators.
What is the order of operations in solving an equation?
The order of operations in solving an equation is to first simplify any expressions within parentheses, then perform any multiplication or division in the order they appear from left to right, and finally perform any addition or subtraction in the order they appear from left to right.
How do you check if a solution to an equation is valid?
To check if a solution to an equation is valid, substitute the value of the variable into the original equation and simplify. If the resulting expression is a true statement, then the solution is valid.
Study Notes
Solving Equations
- The first step in solving an equation is to simplify the equation by combining like terms.
- The solution to the equation 3x + 5 = 14 is x = 3, which can be found by subtracting 5 from both sides and then dividing both sides by 3.
Equation Properties
- If the same value is added to both sides of an equation, the equation remains balanced and its solution is not changed.
Equations vs. Expressions
- An equation is a statement that says two expressions are equal, whereas an expression is a collection of numbers, variables, and operations combined to produce a value.
Order of Operations
- The order of operations in solving an equation is to follow the PEMDAS rule: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
Validating Solutions
- To check if a solution to an equation is valid, plug the solution back into the original equation and verify that the equation is true.
Are you struggling with solving equations? Take this quiz to test your knowledge on the first step in solving an equation, finding solutions to equations, and the effects of adding values to both sides of an equation. Sharpen your math skills and become an equation-solving pro!
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