Question

simplify the expressions. each number will match to a color with the
number 1

• x + 7y + 9x - y

number 2

• 3y + 4x - 10y - 2x

number 3

• x + 3y - 4x - 7y

number 4
10x - 2y - 3x - 4y
number 5
3x + 4y + 2x + 9y
number 6
x + 4y - 2x + 4y
number 7

• 9x - y + x - 5y

number 8

• y - 9x + 5y + 2x

number 9
6x + 5y - x - 9y
number 10
9x - 2y + 3x - 4y
number 11

• 6x + 5y - 6x - y

number 12

• 4x - 6y + 3x - 2y

Explanation:

Step1: Combine like - terms for Number 1

Combine $x$ terms and $y$ terms in $-x + 7y+9x - y$.
$(-x + 9x)+(7y - y)=8x + 6y$

Step2: Combine like - terms for Number 2

Combine $x$ terms and $y$ terms in $-3y + 4x-10y - 2x$.
$(4x - 2x)+(-3y-10y)=2x-13y$

Step3: Combine like - terms for Number 3

Combine $x$ terms and $y$ terms in $-x + 3y-4x - 7y$.
$(-x-4x)+(3y - 7y)=-5x-4y$

Step4: Combine like - terms for Number 4

Combine $x$ terms and $y$ terms in $10x - 2y-3x - 4y$.
$(10x - 3x)+(-2y-4y)=7x-6y$

Step5: Combine like - terms for Number 5

Combine $x$ terms and $y$ terms in $3x + 4y+2x + 9y$.
$(3x + 2x)+(4y + 9y)=5x + 13y$

Step6: Combine like - terms for Number 6

Combine $x$ terms and $y$ terms in $x + 4y-2x + 4y$.
$(x-2x)+(4y + 4y)=-x + 8y$

Step7: Combine like - terms for Number 7

Combine $x$ terms and $y$ terms in $-9x - y+x - 5y$.
$(-9x + x)+(-y-5y)=-8x-6y$

Step8: Combine like - terms for Number 8

Combine $x$ terms and $y$ terms in $-y - 9x+5y + 2x$.
$(-9x + 2x)+(-y + 5y)=-7x + 4y$

Step9: Combine like - terms for Number 9

Combine $x$ terms and $y$ terms in $6x + 5y-x - 9y$.
$(6x - x)+(5y-9y)=5x-4y$

Step10: Combine like - terms for Number 10

Combine $x$ terms and $y$ terms in $9x - 2y+3x - 4y$.
$(9x + 3x)+(-2y-4y)=12x-6y$

Step11: Combine like - terms for Number 11

Combine $x$ terms and $y$ terms in $-6x + 5y-6x - y$.
$(-6x-6x)+(5y - y)=-12x + 4y$

Step12: Combine like - terms for Number 12

Combine $x$ terms and $y$ terms in $-4x - 6y+3x - 2y$.
$(-4x + 3x)+(-6y-2y)=-x-8y$

Answer:

Number 1: $8x + 6y$
Number 2: $2x-13y$
Number 3: $-5x-4y$
Number 4: $7x-6y$
Number 5: $5x + 13y$
Number 6: $-x + 8y$
Number 7: $-8x-6y$
Number 8: $-7x + 4y$
Number 9: $5x-4y$
Number 10: $12x-6y$
Number 11: $-12x + 4y$
Number 12: $-x-8y$