# Compass Math Pool 1

#### If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?

30 gallons x 3/5 = 18

#### If x = y, what does 4(x-y) + 7 =?

If x = y, then you can subsitute x for y in the 2nd equation - so 4(x-x)+7 = 4(0)+7=7

#### In a bag of candy, there are 4 Tootsie Rolls, 3 Lollipops, 5 Hershey Kisses and 6 Starbursts. If you select one piece of candy at random, what is the probability that it will be a lollipop?

There are 18 total pieces of candy and 3 lollipops. Therefore, the probability of picking one lollipop is 3/18 which simplifies to 1/6

#### If 0.05z = 1, then z =

Divide both sides by 0.05. Therefore, z= 1/0.05=20

#### How long will it take to reach a town 250 miles a way if you drive 50 miles per hour?

250 miles/(50 miles per hour) = 5 hours

#### A toll is $2 for a car and the driver and 75 cent for each additional passenger. If the toll comes to $4.25, how many total people are in the car?

The toll of $4.25 includes $2 for the driver/car. So $2.25 ($4.25-$2) is left for the passengers. $2.25/0.75 = 3 passengers, so the total amount of people in the car is 1 driver and 3 passengers.

#### (x+3)(x+5) = A. x2+16x +8 B. x2+16x+15 C. x2+8x+15 D. x2+8x+8

Use the FOIL method (First, Outside, Inside, Last) to solve. X2 +3x +5x + 3x5

#### (x+4)(x+4) = A. x2+16x +8 B. x2+16x+16 C. x2+8x+16 D. x2+8x+8

Use the FOIL method (First, Outside, Inside, Last) to solve. X2 +4x +4x + 4x4

#### Tina bought a scarf for $16.65. She gave the clerk $20. How much change should she get back?

#### A product originally costs $125. If the product goes on sale for 20% off, and then goes on sale for an additional 30% off, what is the price of the product?

You need to apply the discounts successively not just add the discounts. So $125 x 80% = $100 (price after original 20% discount). $100 x 70% = $70 the price after the 2nd 30% discount.