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Questions and Answers
What is a two-step equation?
What is a two-step equation?
What are the traditional operations of arithmetic?
What are the traditional operations of arithmetic?
Addition, subtraction, multiplication, division, raising to an integer power, and taking roots.
Inverse operations are two operations that undo each other.
Inverse operations are two operations that undo each other.
True
What is the solution for the equation 6 - 3x = 21?
What is the solution for the equation 6 - 3x = 21?
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What is the importance of the acronym 'PEMDA'?
What is the importance of the acronym 'PEMDA'?
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You should combine like terms last when solving two-step equations.
You should combine like terms last when solving two-step equations.
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Study Notes
Two-Step Equation
- Two-step equations involve two operations, typically multiplication (or division) followed by addition (or subtraction).
- To solve, reverse the operations: first undo addition/subtraction, then multiplication/division.
Operations
- Basic operations in algebra include addition, subtraction, multiplication, division, raising to an integer power, and taking roots.
- When performed on numbers, these are frequently referred to as arithmetic operations.
Inverse Operations
- Inverse operations are pairs of operations that cancel each other out.
- Examples include addition and subtraction or multiplication and division.
Solving Equations with Negative Coefficients
- When solving equations like 6 - 3x = 21, rewrite the left side to represent addition: 6 + (-3x) = 21.
- Solve by isolating the variable: subtract 6 from both sides, yielding -3x = 15.
- Divide by the coefficient (-3) to find x = -5.
- Verify the solution by substituting x back into the original equation.
PEMDA and Order of Operations
- Use the acronym 'PEMDA' to remember the correct order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Combine Like Terms First
- Always combine like terms at the beginning of solving two-step equations to simplify the process.
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Description
Explore the concepts of two-step equations, inverse operations, and solving equations with negative coefficients. This quiz will help solidify your understanding of basic operations in algebra and how to manipulate them effectively to solve for unknown variables.
