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Essential SAT Math Formulas

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

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

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.
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