Question

directions: simplify the expressions. circle the color of your answer choicethe areas with the corresponding problem numbers on the coloring shee1 ( 3 x + 10 - 8 + 2 x ) ( 13 x - 6 ) green ( 5 x + 2 ) brown2 ( x + 4 - x ) ( 2 x + 4 ) purple ( 4 x ) maroon ( x + 4 ) brown3 ( 5 x + x + 2 ) ( 6 x + 2 ) black ( 5 x + 2 ) dark red ( 5 x + 3 ) blue4 ( 9 - 9 x + 1 ) ( - 9 x + 10 ) orange ( x + 1 ) pink 1 light5 ( x + 3 + x + 3 ) ( 6 x ) light green ( 6 x ^ { 2 } ) purple ( 2 x ) red - o6 ( 15 - 10 + x ) ( 5 x ) gray ( x + 5 ) brown7 ( 1 + 2 x + 3 x - 8 ) ( 5 x - 7 ) white ( 5 x + 7 ) turquoise8 ( 16 x - 5 x + 2 - 11 x ) ( 22 x + 2 ) orange ( 2 x ) pink

Explanation:

Step1: Combine like terms for \(3x + 10-8 + 2x\)

Combine \(x\) - terms: \(3x+2x = 5x\). Combine constant terms: \(10 - 8=2\). So the simplified form is \(5x + 2\).

Step2: Combine like terms for \(x + 4-x\)

\(x-x+4=(1 - 1)x+4=4\).

Step3: Combine like terms for \(5x+x + 2\)

\(5x+x+2=(5 + 1)x+2=6x+2\).

Step4: Combine like terms for \(9-9x + 1\)

\(-9x+(9 + 1)=-9x + 10\).

Step5: Combine like terms for \(x + 3+x+3\)

\(x+x+3 + 3=(1+1)x+(3 + 3)=2x+6\).

Step6: Combine like terms for \(15-10+x\)

\(x+(15 - 10)=x + 5\).

Step7: Combine like terms for \(1+2x+3x-8\)

\(2x+3x+(1 - 8)=5x-7\).

Step8: Combine like terms for \(16x-5x+2-11x\)

\((16x-5x-11x)+2=(16-5 - 11)x+2=0x+2=2\).

Answer:

1. \(5x + 2\) (BROWN)
2. \(4\) (not in the given options, but based on combining \(x - x+4\))
3. \(6x + 2\) (BLACK)
4. \(-9x + 10\) (ORANGE)
5. \(2x+6\) (not in the given options, but based on combining \(x+x + 3+3\))
6. \(x + 5\) (BROWN)
7. \(5x-7\) (WHITE)
8. \(2\) (not in the given options, but based on combining \(16x-5x-11x+2\))