Variable X
Linear Substitution
Variable X&Y
Simplifying
Challenge
100

x+ 5= -2

x=?

x+5= -2

x+5+(-5)= -2+(-5)

x= -7


100

y=x+5

x=6

y=?

y= x+5

x=6, y=6+5

y= 11

100

3x+3y=6

x+y=?

3x+3y=6

(3x+3y)/3= 6/3

3x*(1/3)+ 3y*(1/3)= 2

x+y=2

100

2p+8p

Simplified equation is?

2p+8p

Simplified equation=10p

100
(percentage)

There are 20 balls in the bag, three balls are blue, and another seven balls are red, and if there are ten yellow balls, what are the possibilities of grabbing a blue ball?

if the20 balls are 100 percent, 10 balls are 50 percent. Then 5 balls would be 25%, then 1 would be 5%.

If there are three balls, it's 3x1= 5%x3, 15%

200

2x+4=0

x=?

2x+4= 0

2x+4+(-4)= 0+(-4)

2x=-4

2x/2= (-4)/2

x= -2

200

y= 3x-4

x=3

y=?

y= 3x-4

x=3, y= 3(3)-4

y= 9-4 

y=5

200

4x+8y= 16

x+2y=?

4x+8y= 16

(4x+8y)/4= 16/4

4x*(1/4)+8y*(1/4)= 4

x+2y=4

200

10x2+22+13x2+8

The simplified equation is?

10x2+22+13x2+8

(10+13)x2+22+8

Simplified equation=23x2+30

200

What is the square root of 64?

if 8x8= 64, the root is a factor of a number that, when multiplied by itself, gives the original number.

square root of 64= 8

300

2x+9-4= -1

x=?

2x+9-4=-1

2x+5= -1

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

2x= -6

2x/2= (-6)/2

x= -3

300

y=6x-2x+8

x=4

y=?

y = 6x-2x+8

y = 4x+8

y = 4(4)+8

y = 16 + 8

y = 24


300

3/4x + 3/4y=9

x+y=?

3/4x+3/4y= 9

(3/4x+ 3/4y)4= 9x4

12/4x+ 12/4y= 36

3x+3y= 36

(3x+3y)3= 36/3

x+y=12

300

7x2+80+6+8+10p+6x2

Simplified equation is?

7x2+80+6+8+10p+ 6x2

(7+6)x2+ 86+8+10p

13x2+94+10p

Simplified equation=13x2+10p+94

300

simultaneous equation

x+2y= 10

x-3y=5

(Both equations' x and y are the same)

x=?

y=?

x+2y=10

x-3y=5

(x+2y)-(x-3y)= 10-5, 

x+2y-x+3y= 5

5y=5

y=1

(substitution), x-3y=5 , 

x-3=5

x-3+3=5+3

x=8


x=8, y=1

400

x+5-3-2= -5+2x

x=?


x+5-3-2= -5+2x

x+2-2= -5+2x

x= -5+2x

x+(-2x)= -5+2x+ (-2x)

-x= -5

-x* (-1)= -5*(-1)

x=5

400

y+3x= 3x+x-2-8

x=2

y=?

y+3x= 3x+x-2-8

y+3x= 4x-10

y+3x+(-3x)= 4x+(-3x)-10

y= x-10

y= 2-10

y=-8

400

-3x-3+5=6y-3+7

x+2y=?

-3x-3+5=6y-3+7

0=6y-3+7+3x+3-5

0=3x+6y+2

-2=3x+6y

-1=x+2y

400

0x+2+4x+3

Simplified Equation is?

0x+2+4x+3

0x= 0, 2+4x+3

Simplified equation= 5+4x

400

simultaneous equation

3x+2y=12

8x+5y=31

(Both equations' x and y, is the same)

x=? y=?


(3x+2y)8= 12x8

(8x+5y)3=31x3


24x+16y= 96

24x+15y= 93

(24x+16y)-(24x+15y)= 96-93

24x+16y-24x-15y= y=3

(substitution), 3x+2y=12, 3x+6=12

3x+6-6=12-6

3x=6

x=2

500

1/4x+5-3= -3/4x

x=?


1/4x+5-3= -3/4x

1/4x+2= -3/4x

1/4x+2+(-2)= -3/4x+(-2)

1/4x= -3/4x-2

1/4x+3/4x= -3/4x-2+3/4x

x= -2

500

y+3/4x=5/4x+43

x=4

y=?

y+ 3/4x= 5/4x+43

y+ 3/4x + (-3/4x)= 5/4x+ (-3/4x)+43

y= 2/4x+43

y= 2*(4)/4x+43

y= 8/2+43

y= 2+45

y=45

500

30x-5+2+4=6y+4-2

10x-2y=?

30x-3+4= 6y+2

30y-1=6y+2

30-1-2=6y+2-2

30x-3=6y

30x-6y-3= 6y-6y

30x-6y-3+3= 0+3

30x-6y=3

10x-2y=1 

500

8/9x+ 6 -3 +1/9x

Simplified equation is?

8/9x+1/9x+6-3

Simplified equation= x+3

500

(Factorization)

(3x+4)(x+3)

what is the equation if two equations are multiplied by themselves?

(3x+4)(x+3)

3x*x+3*3x+4*x+4*3

3x2+ (9+4)x+12

3x+ 12x+12