| GCF | ||
| #1 | Find the GCF: 15x3, 135x8, 225x4 |
15x3 |
| #2 | Factor out the GCF: 100x2+50x |
50x(2x+1) |
| #3 | Find the GCF: 64x8y2, 40x5y8 |
8x5y2 |
| #4 | Factor out the GCF: 2u2+80t2 |
2(u2+40t2) |
| #5 | Find the GCF: x3y4z5, x5y4z3, x4y3z5 |
x3y3z3 |
| Multiply/Simplify | ||
| #1 | Combine like terms: 5x7-8x7 |
-3x7 |
| #2 | Multiply and simplify: -4x(7x-8) |
-28x2+32x |
| #3 | Multiply and simplify: (4x+4)(x+3) |
4x2+16x+12 |
| #4 | Combine like terms: 15x8+7x4+x8-10x8 |
6x8+7x4 |
| #5 | Multiply and simplify: (3x-2)(3x+2) |
9x2-4 |
| Factoring | ||
| #1 | Factor: 3x2-9x |
3x(x-3) |
| #2 | Factor: m2-49 |
(m+7)(m-7) |
| #3 | Factor: 5x2-5x-30 |
5(x+2)(x-3) |
| #4 | Factor: xy3-2y2+3xy-6 |
(xy-2)(y2+3) |
| #5 | Factor: 27x3-9x2+15x |
3x(9x2-3x+5) |
| Solving Polynomials | ||
| #1 | Solve: 2(x+4)=0 |
x=-4 |
| #2 | Solve: (y+2)(y-3)=0 |
y=-2,3 |
| #3 | Solve: -5x(x-5)(x+5)=0 |
x=0,5,-5 |
| #4 | Solve: x2+2x+1=0 |
x=-1 |
| #5 | Solve: r2-100=0 |
r=-10,10 |
| Rational Functions | ||
| #1 | Find domain: x2-3x+2 / x2-4
|
{x|x is all reals and x≠2,-2} |
| #2 | Find domain: x/5 |
{x|x is all reals} |
| #3 | Find domain: x-6 / -6-x |
{x|x is all reals and x≠-6} |
| #4 | Simplify: x-6 / 6-x |
-1 |
| #5 | Multiply: x2-9 / x2-4x+3 • x2-1 / x+3 |
x+1 |
| Final Question | |