Unit 2 Review - 8.8ABC

The equation 7 + 0.3x = 0.25x represents the fees charged by two companies. Which scenario best represents the equation?

• Company A charges a one time fee of $0.30 and $7 per piece of candy. Company B charges $0.25 per piece of candy.

• Company A charges a one time fee of $7 and $0.25 per piece of candy. Company B charges $0.30 per piece of candy.

• Company A charges a one time fee of $7 and $0.30 per piece of candy. Company B charges $0.25 per piece of candy.

• Company A charges a one time fee of $7.30 per piece of candy. Company B charges $0.25 per piece of candy.

Target charges $90 to design a room and $10 per hour they are at your house. Walmart charges $80 to design a room and $25 per hour they are at your house. Which equation could be used to find the number of hours for which the cost of both stores is the same?

• 115h = 90h

• h(90 + 10) = h(80 + 25)

• 90h + 10 = 80h + 25

• 90 + 10h = 80 + 25h

Bob has $50 and spends $2.50 every day. Henry has $5 and saves $2.50 every day. Which equation could be used to determine when they have the same amount of money?

• 50 - 2.50x = 5 - 2.50x

• 50 - 2.50x = 5 + 2.50x

• 50x - 2.50 = 5x + 2.50

• (50 - 2.50)x = (5 + 2.50)x

The inequality shown represents two fees for different cleaning services. Which situation does this inequality represent?

100x + 55 < 140x + 25

• Clean House charge a $100 start-up fee and $55 per hour. Get'erDone charges a $140 start-up fee and $25 per hour. After how many hours will Get'erDone cost less than Clean House?

• Clean House charge a $55 start-up fee and $100 per hour. Get'erDone charges a $25 start-up fee and $140 per hour. After how many hours will Get'erDone cost less than Clean House?

• Clean House charge a $55 start-up fee and $100 per hour. Get'erDone charges a $25 start-up fee and $140 per hour. After how many hours will Get'erDone cost more than Clean House?

• Clean House charge a $100 start-up fee and $55 per hour. Get'erDone charges a $140 start-up fee and $25 per hour. After how many hours will Get'erDone cost more than Clean House?

Which equation is represented by the model?

• -3x - 2 = -5x - 3

• -3 - 2x = -5 + 3x

• -3x - (-2) = -5x + 3

• -3x - 2 = -5x + 3

Solve the equation pictured

• 2

• 2.5

• -2.5

• -9.5

Solve the equation: m + 5 = -2m - 7

• -0.4

• 4

• -4

• -04

 $\frac{x}{2}+15\ =\ -\frac{x}{4}-8$  

• 30.6

• -30.6

• -0.3

• 0.3

-4/5x + 2 = -5x - 9

• -4

• 4

• 2.6

• -2.6

A candle was 20 cm tall and is melting at a rate of x cm per hour. A second candle was 30 cm tall and is melting 3 times faster than the first candle. At how many hours will the candles be the same height?

• 5

• -5

• 4

• 8