Multiple Variables

Cadin rents a bouncy house for a birthday party.  It costs $30.00 plus $4.00 per hour.  If he spends a total of $78.00, how many hours did he keep the bouncy house?

• $30.00 - $78.00 = $4.00h

• $78.00 + $30.00 = $4.00h

• $30.00 + $4.00h = $78.00

• $30.00 - $4.00h = $78.00

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

a letter or symbol that represents an unknown value

• coefficient

• constant

• expression

• variable

Solve:
12x - 4y = 20  ,  for   y 

• y = 3x - 5

• y = -3x + 5

• y = -3x - 5

• y = 3x + 5

Simplify: 6x + 2m

when x = 14 and m = (-9)

• 66

• -66

• 102

• 13

Simplify: 10n + 3h

when n = (-4) and h = 0

• 0

• -37

• 40

• -40

If a = 4 and b = 6, what is the value of 3a + 5b?

• 40

• 42

• 44

• 46

r + b

if r=3 and b=5

• 35

• 15

• 8

• None of the above

Simplify: 15w - 3n + 4m

when w = 2, n = (-7), m = 3

• -63

• 63

• 21

• The answer is not here.