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Equations

100

14=-(p-8)

-6

200

24a-22=-4(1-6a)

No Solution

300

5n+34=-2(1-7n)

4

400

-3(4x+3)+4(6x+1)=43

4

500

-5(1-5x)+5(-8x-2)=-4x-8x

-5

Inequalities

100

3<-5n+2n

n<-1

200

a-6≤15+8a

a≥-3

300

28-k≥7(k-4)

k≤7

400

3(1-2x)>3-6x

No Solution

500

-2(2-2x)-4(x+5)≤-24

All Real Numbers

Systems

100

y=-2

4x-3y=18

(3,-2)

200

y=5x-7

-3x-2y=-12

(2,3)

300

-7x-2y=-13

x-2y=11

(3,-4)

400

-2x+6y=6

-7x+8y=-5

(3,2)

500

-5x-8y=17

2x-7y=-17

(-5,1)

Combining Like Terms

100

(5p²-3)+(2p²-3p³)

-3p³+7p²-3

200

(5a+4)-(5a+3)

1

300

(12a⁵-6a-10a³)-(10a-2a⁵-14a⁴)

14a⁵+14a⁴-10a³-16a

400

(-9v²-8u)+(-2uv-2u²+v²)+(-v²+4uv)

-9v²+2uv-2u²-8u

500

(y³-7x⁴y⁴)+(-10x⁴y³+6y³+4x⁴y⁴)-(x⁴y³+6x⁴y⁴)

-9x⁴y⁴-11x⁴y³+7y³

Multiplying/Factoring

100

(6k+5)(5k+5)

30k²+55k+25

200

6v²+66v+60

6(v+10)(v+1)

300

(6n²-6n-5)(7n²+6n-5)

42n⁴-6n³-101n²+25

400

6x²+7x-49

(3x-7)(2x+7)

500

7x⁴+41x²y²+30y⁴

(7x²+6y²)(x²+5y²)