9th Grade Algebra

Solving Equations

100

Solve for m: 2x²-24=-6

m=3,-3

200

Solve for x: x³+37=101

x=4

300

Solve for m: m-m²+49=7

m=7

400

Solve for x: 7x²+20=195

x=5

500

Solve for m: m⁴-m²-6000=480

m=9

Factors

100

59

1,59

200

36

1,2,3,4,6,9,12,18,36

300

50

1,2,5,10,25,50

400

132

1,2,3,4,6,11,12,22,33,44,66,132

500

244

1,2,4,61,122,244

Polynomials

100

What is the degree of this polynomial? 4x³+2x-1

3rd

200

Add these polynomials: 2x³+6x+5 and 3x²-2x-1

2x³+3x²+4x+4

300

What is the degree of this polynomial?

(4x³+10x²+20)x

4th

400

How do you know the best outcome to factor out a polynomial?

When it equals to the same equation if you factor it.

500

Subtract these polynomials: (6x^2+4x-2)-(3x^2-2x+7)+24x

3x²+30x-9

Factoring polynomials

100

F(x)=X²+x-2

(x-1)(x+2)

200

x³-x²+5x

x(x²-x+5)

300

x²-25

(x-5)(x+5)

400

3x²+27x+81

3(x²+9x+27)

500

5x⁴+10x³+25x²

5x²(x²+2x+5)

Multiplying polynomials

100

(x-9)(x-3)

x²-12x+27

200

(x-9)(x+9)

x²-81

300

(x+4)(y+2)

xy+2x+4y+8

400

(x²+5)²

x⁴+10x²+25

500

(x-1)(y-5)z

xyz-5xz-yz+5z