SAT Prep Math No Calculator

Math Formulas

100

The formula for the area of a rectangle

What is A = lw

200

The formula for area of a triangle

What is A = 1/2 bh

300

The formula for the Pythagorean Theorem

What is a² + b² = c²

400

The formula for the volume of a cylinder

What is V = pi r²h

500

The formula for the volume of a rectangular prism

What is V = lwh?

Systems of Equations

100

x + y = -9

x + 2y = -25

(7, -16)

200

2x - 3y = -14

3x - 26 = -6

If (x,y) is a solution to the system of equations above, what is the value x -y

What is -4?

300

1/2 (2x + y) = 21/2

y = 2x

The system of equations above has solution (x,y).  What is the value of x?

21/4, or 5.25

400

y = x²

2y + 6 = 2(x +3)

If (x,y) is a solution of the system of equations above and x > 0 what is the value of xy

What is 1?

500

3x + 4y = -23

2y - x = -19

(3, -8)

Adding & Subtracting Polynomials

100

(5p² − 3) + (2p² − 3p³ )

−3 p³ + 7p² − 3

200

(4n − 3n³) − (3n³+ 4n)

−6n³

300

(−4k⁴ + 14 + 3k² ) + (−3k⁴ − 14k² − 8)

−7k⁴− 11k² + 6

400

(9r³+ 5r² + 11r) + (−2r³ + 9r − 8r² )

7r³ − 3r² + 20r

500

(4x² + 7x³ y²) − (−6x²− 7x³ y² − 4x) − (10x + 9x²)

14x³ y² + x² − 6x

Adding & Subtracting Complex Numbers

100

Simplify:

(-i) + (6i)

5i

200

Simplify:

(-4i) - (5i)

-9i

300

(-2i) + (5i)

3i

400

Simplify:

(3-4i) - (-5+7i)

8 - 11i

500

(-4-7i) - (4+5i) -(2-i)

-10 - 11i

Parallel & Perpendicular Lines

100

What is the slope-intercept form of the equation of the line described:

through: (2, -4), parallel to y=3x + 2

y = 3x - 10

200

What is the slope-intercept form of the equation of the line described:

through (1, -5), perp to y = to y = 1/8 x + 2

What is

y = -8x +3

300

through: (-5, 5), perp. to y = 5/9x - 4

What is the slope-intercept form of the equation of the line described:

y = -9/5x - 4

400

What is the slope-intercept form of the equation of the line described:

through: (3, -2), perp. to y = 5x + 4

What is x + 5y = -7

500

What is the slope-intercept form of the equation of the line described:

through: (3,4), perp. to y = -2x - 4

y = 1/2 x + 5/2