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Essential SAT Math Formulas

Mathematics10 CardsCreated about 1 month ago

This deck covers key formulas and concepts essential for the SAT Math section, including slope, distance, and vertex forms.

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What is the slope-intercept form of a linear equation?

y = mx + b
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Key Terms

Term
Definition
What is the slope-intercept form of a linear equation?
y = mx + b
How do you calculate the slope between two points?
Slope (m) = (y2 - y1) / (x2 - x1)
What is the midpoint formula?
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
What is the distance formula between two points?
Distance (d) = √((x2 - x1)^2 + (y2 - y1)^2)
What is the vertex form of a quadratic equation?
y = a(x - h)^2 + k
When does a quadratic equation have a maximum value?
When the coefficient a < 0, the maximum is at k.
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Essential SAT Math Formulas
TermDefinition
What is the slope-intercept form of a linear equation?
y = mx + b
How do you calculate the slope between two points?
Slope (m) = (y2 - y1) / (x2 - x1)
What is the midpoint formula?
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
What is the distance formula between two points?
Distance (d) = √((x2 - x1)^2 + (y2 - y1)^2)
What is the vertex form of a quadratic equation?
y = a(x - h)^2 + k
When does a quadratic equation have a maximum value?
When the coefficient a < 0, the maximum is at k.
What is the formula for arc length?
Arc Length = θ/360° × 2πr
What is the center-radius form of a circle's equation?
(x - h)^2 + (y - k)^2 = r^2
What determines exponential growth in a function?
If b > 1 in the formula A(t) = P(1 + r)^t, it indicates growth.
How do you calculate percentage change?
Percentage Change = (Change/Original) × 100