What is the difference between a linear equation and a quadratic equation?

SAT Math Prep

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•
Mathematics
•
KG
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear equation is an equation of the first degree, which means it has no exponents greater than one. A quadratic equation is an equation of the second degree, which means it includes a term with an exponent of two.
2.
FLASHCARD QUESTION
Front
What is the formula for the slope of a line?
Back
The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
3.
FLASHCARD QUESTION
Front
What does it mean for two expressions to be equivalent?
Back
Two expressions are equivalent if they have the same value for all values of the variable(s) involved.
4.
FLASHCARD QUESTION
Front
How do you simplify the expression 6abc + 9abc^2?
Back
You can factor out the common term: 3abc(2 + 3c).
5.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
6.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).
7.
FLASHCARD QUESTION
Front
What is the meaning of 'slope' in a graph?
Back
The slope of a graph indicates the steepness and direction of a line. A positive slope means the line rises, while a negative slope means it falls.
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