Questions and Answers
What is a conditional equation?
What is a contradiction equation?
What is an identity equation?
What does the union symbol represent?
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What does the intersection symbol represent?
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What is the slope-intercept formula?
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What is the slope formula?
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How can you tell if two lines are parallel by looking at their equations?
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How can you tell if two lines are perpendicular by looking at their equations?
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How do you find the x-intercept?
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How do you find the y-intercept?
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What is a consistent system?
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What is an inconsistent system?
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What is a dependent system?
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What is an independent system?
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Study Notes
Conditional Equation
- True for certain values of the variable but not for others.
Contradiction Equation
- An equation with no solution, exemplified by x = x + 1.
Identity Equation
- An equation that holds true for any value assigned to the variable.
Union Symbol
- Represented by "U" and indicates the use of "or."
Intersection Symbol
- Denoted by an upside-down "U" and signifies the use of "and."
Slope-Intercept Formula
- The formula to find the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.
Slope Formula
- Calculated as (y2 - y1) / (x2 - x1) to determine the steepness of a line.
Parallel Lines
- To identify parallel lines in an equation, they must have the same slope but different y-intercepts.
Perpendicular Lines
- Lines are perpendicular if their slopes (m) are opposite reciprocals of one another.
Finding the X-Intercept
- To find the x-intercept of a function, set y to 0 and solve for x.
Finding the Y-Intercept
- To find the y-intercept, set x to 0 and solve for y.
Consistent System
- A system of equations or inequalities with at least one solution.
Inconsistent System
- A system characterized by having no solutions at all.
Dependent System
- A system of equations with infinitely many solutions due to matching lines.
Independent System
- A system of equations that results in exactly one unique solution.
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Description
Test your understanding of key algebraic concepts with this set of flashcards. Each card features essential terms, including conditional equations, contradiction equations, and identity equations. Perfect for mastering the fundamentals of college-level algebra.
