psat math formulas

1. Linear equations: y = mx + b, where m is the slope and b is the y-intercept.

2. Quadratic equation: ax2 + bx + c = 0

3. Quadratic formula: x = (-b ± √(b2 - 4ac)) / 2a

4. Pythagorean theorem: a2 + b2 = c2for right triangles.

5. Area of a triangle: A = (1/2)bh, where b is the base and h is the height.

6. Area of a rectangle: A = lw, where l is the length and w is the width.

7. Area of a trapezoid: A = (1/2)(b1 + b2)h, where b1 and b2 are the bases and h is the height.

8. Circumference of a circle: C = 2πr, where r is the radius.

9. Area of a circle: A = πr2

10. Volume of a rectangular prism: V = lwh.

11. Volume of a cylinder: V = πr2h.

12. Volume of a cone: V = (1/3)πr2h.

13. Volume of a sphere: V = (4/3)πr3.

  1. volume of a pyrimid: 1/3lwh

15. Slope formula: m = (y2 - y1) / (x2 - x1).

16.. Distance formula: d = √((x2 - x1)2 + (y2 - y1)2).

17. Percent increase/decrease: (New - Old) / Old

  1. the number of degrees in an arc of a circle is 360

  2. the number of radians of arc in circle is 2π

  3. the sum of measures in degrees of angles of a triangle 180

  4. 30-60-30 triangles: hypo is 2x, short side is x, long side x√3

  5. 45-90-45 traingles: equal sides: s, hypo is s√2