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Equations

100

3x-10=11

3x-10=11

3x-10(+10)=11(+10)

3x=21

3x/3=21/3

x=7

200

4x+10=x-5

(-1x)4x+10=x-5

3x+10=-5(-10)

3x/3=-15/3

x=-5

300

2(x-1)+8=4x-20

2(x-1)+8=4x-20

2x-2+8=4x-20

2x+6=4x-20

2x-4x=-20-6

-2x=-26

x=13

400

5/4x+1/2=2x-1/2

5/4x+1/2=2x-1/2

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

5x+2=8x-2

5x+2-8x=8x-2-8x

-3x+2=-2

-3x+2-2=-2-2

-3x=-4

-3x/3=-4/-3

x=4/3

500

2x+3/4=x+7/3

(4)(3)(2x+3/4)=(4)(3)(x+7/3)

(3)(2x+3)=(4)(x+7)

6x+9=4x+28

(6x-4x)=(28-9)

x(6-4)=19

2x=19x

x=19/2=9.5

combining like terms

100

2b+f+d+3b+2f+2d

2d+f+d+3b+2f+2d

5b+3f+3d

200

-5+3(6+7n)

-5n+3(6+7n)

-5n+18+21n

16n+18

300

7(m-2)+21=(2m)(3)

7m-14+21=6m

7m+7=6m

m=-7

400

-3y+4xy-2x²+2x+y²-4xy+2y+3x²

-3y+2y+4xy-4xy-2x²+3x²

-1y+0xy-1x²

500

3x²y-2xy/5+4x²y-8xy/5

3x²y+4x²y+(-2xy/5-8xy/5)

(3+4)x²y

7x²y

scientific notation

100

120000 into scientific notation

1.2x10⁵

200

1.21x10⁶ into expanded form

1210000

300

(6.02x10³)+(3.14x10²)

(6.02x10³)+(0.314x10³)

6.334x10³

400

(4.5x10²)*(3x10⁴)

4.5*3x10²*10⁴

13.5x10⁶

1.35x10⁷

500

(2 x 10⁷)/(4 x 10⁵)

(2/4)*(10⁷/10⁵)

(0.5)*(10^7-5)

=0.5 x 10²

exponent

100

(x¹⁴/x⁷)

x⁷

200

(6⁹)(6⁷)/(6⁵)

6¹¹

300

12x⁸ 8y³/3x²y

4x⁶y²

400

(35x³y⁴/7x^-4y⁷)

5x^-1y¹¹