SAT Math 3/16

FOIL Method and Special Products

100

(x+3)(x-5)

(x-1)²-16

200

(2-5x)(5x+2)

-25x²+4

300

4x²-12xy+9y²

(2x-3y)²

400

(x+y)(x-y)(x²+y²)

x⁴-y⁴

500

3^(a-b)*3^(a+b)/3^2a+1

1/3

Operations of Polynomials

100

a(2-a)+(a²+3)-(2a+1)

2

200

(-m²n-n²+3mn²)-(m²n-n²+mn²)

-2m²n+2mn²

300

(2x²-3x+1)-(-2x²-3x+2)

3

400

(x³-x²+3x-3)/(x-1)

x²+3

500

2^(a-1)(a+1)/2^(a-2)(a+2)

143

Extra

100

(14x²+9x-20)/(ax-1)=7x+8 + -12/ax-1

In the equation above, a is a constant and ax-1 does not equal 0. What is the value of a?

2

200

6x²-5x+4/-3x+1=-2x+1+A/-3x+1

What is the value of A?

3

300

The ratio of the number of ice cream flavors to the number of sorbet flavors at Azucar is 5:2. If Azucar carries 50 flavors of ice cream, how many flavors of sorbet do they carry? What is the difference between the number of ice cream flavors and the number of sorbet flavors?

30

400

Bobby puts $5 in his savings account every week. Rachel puts $50 in Bobby's savings account every 4 weeks. How much money will Bobby and Rachel put in Bobby's savings account together in 52 weeks? 

910

500

If y=kx, where k is a constant, and y=-3 when x=6, what is the value of x when y=12

-24