At the snack bar, hot dogs cost $4 each and bottled water costs $2 each. In the first business hour of the day, less than $12 worth of hot dogs and water were sold.

Which are reasonable solutions for this situation if x represents the number of hot dogs sold and y represents the number of bottles of water sold? Check all that apply.

(-1,5)

(0,6)

(2,1)

(1,1.5)

(1,3)

(2,2)

John just purchased a new car with a value of $35,000. The car loses value at a rate of 7.5%. Which equation best represents this situation if y is the value of the car and x is the number of years he has owned the car?

a. y=1.075(35000)^x b. y=0.925(35000)^x c. y=0.25(35000)^x d. y=35000(0.25)^x e. y=35000(0.925)^x f. y=1.75(35000)^x g. y=35000(1.075)^x h. y=35000(1.75)^x

Which choice is equivalent to the expression 3x-y?

4x

3x-1y

Directions: Simplify the expressions

1.\(25- ( \sqrt { 16} - 1) ( 3- 9) ^ { 2} \)

2.\(\left | 5- 2( 9) \right | + 9^ { 2} \div 3\)

3.\(\frac { 2^ { 5} - 4\times 3^ { 3} } { 7+ ( 1- \sqrt { 100) } } \)

4.\(\frac { ( \sqrt { 225} - 11) \times 12 } { - 12- ( - 8- 6^ { 2} ) } - \left | - 3 \right | \)

5.\(\frac { 3} { 2} [ ( 58- 10^ { 2} ) \div ( \sqrt { 16} \div 3) ] \)

6.\(\frac { 56\div ( 7- 9) ^ { 3} - 25 } { 23- 5\times 4 } \)

Directions:Evaluate each expression given the replacement values.

7.\(a^ { 2} + 2( b- 6) - 17\)(if a=-7 and b=2)

8.\(\frac { 8x- 2y} { 10xy} \)(if x=4 and y=-7)

To rent a building for a school dance, Ava paid 120 dollars plus $2.50 for each student who attended. If she paid a total of 325 dollars, how many students attended the dance?