Algebraic expressions

Easy Equations

100

Solve for X

5x+5-2x=15

5x-5-2x=10

3x-5=10

3x/3=15/3

X=5

200

Simplify

2b-6+4a-14b-8

2b-6+4a-14b-8

-12b-6+4a-8

-12b+4a-14

300

Solve for t

16-2t=5t+9

16-2t=5t+9

-7t=-7 

t=1

400

Solve for x

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

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

3x-2x-6=4x-7

x-6=4x-7

-3x/-3=-1/-3

X=1/3

500

Simplify 

3x⁴ -8x³+4x⁴+2x³-7xy+3x³+12xy

7x⁴-3x³+5xy

No solution/Identity

100

Identity or No Solution

6(x-2)=3(2x-4)

6(x-2)=3(2x-4)

6x-12=6x-12

-12=-12

Identity

200

Identity or No Solution

10+6x=15+9x-3x

10+6x=15+6x

10=15 no it doesn't

No solution

300

Identity or No Solution

2(x-6)=-5x-12+7x

2(x-6)=-5x-12+7x

2x-12=2x-12

-12=-12

Identity

400

Identity or No Solution

8x+3-10x=-2(x-2)+3

8x+3-10x=-2(x-2)+3

-2x+3=-2x+7

3=7

No Solution

500

Identity or no solution

3(3y+5)+5=10(y+2)-y

3(3y+5)+5=10(y+2)-y

9y+15+5=10y+20-y

9y+20=9y+20

20=20

Identity

Equations with Fractions

100

2/3p=6

2/3p*3/2=6/1*3/2

p=9

200

Solve for x

3/4(x+4)=15

3/4(x+4)=15

3/4x+3=15

3/4x*4/3=12*4/3

x=16 or 48/3 

300

Solve for v

v+9/3=8

v+9/3=8

v+9=24

v=15

400

Solve for g

12g=12(2/3g-1)+11

12g=12(2/3g-1)+11

12g=8g-12+11

4g=-1

g=-1/4

500

Solve for x

1/4=3/8x+5/16x

1/4=3/8x+5/16x

1/4=6/16x+5/16x

x=16/44 or 4/11

Literal Equations

100

Solve for X

x-a=y

x=y+a

200

Solve for b

a=b(c-d)

a=b(c-d)

a/(c-d) and (c-d)/(c-d)

b=a/c-d

300

Solve for y

XY/z=b

xy/z=b

y= b+z/x

400

Solve for c

8y=c(h+p)

8y=c(h+p)

c=8y/h+p

500

Solve for w

wx+w=y+2

wx+w=y+2

w=y+2/x+1