PALG - Rev of Var on 2 Sides, Abs Value, Simple Quad EQN Solving

5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

Solve for x:
4(1-x)+3x=-2(x+1)

• x = -6
• x = 6
• x = 3

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

-(8n - 2) = 3 + 10(1 - 3n)

• n = 1/2
• n = -1/2
• n = 2

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. Which equation could you use to see when the two companies would charge the same amount?

• 18x = 22x

• 3x + 15 = x + 21

• 15x + 3 = 21x + 1

• 3x + 15 + 21x = 1

−14 + 6b + 7 − 2b = 1 + 5b

−3(x − 1) + 8(x − 3) = 6x + 7 − 5x

What would you multiply each term by to clear the decimals in the following equation:
3.04y - 6.7 = 9.12

• 10
• 100
• 1000
• 10000

solve for m:

 $\frac{2}{3}\left(9m-6\right)=20$  

•  $m=4$  

•  $m=3$  

•  $m=2$  

•  $m=8$