SAT Math - Calculator (#1)

If a = 60(99)⁹⁹ + 30(99)⁹⁹, b = 99¹⁰⁰, and c = 90(90)⁹⁹, then which of the following expresses the correct ordering of a, b, and c?

• c < b < a

• b < c < a

• a < b < c

• c < a < b

For all real numbers x and y, 4x(x) - 3xy(2x) =

• 12x²y(x - 2y)

• 2x²(2 - 3y)

• 2x²(2 + 3y)

• 4xy(x - 3y)

Which of the following statements must be true for all values of x, y, and z?

I. (x+y) + z = (z+y) + x

II. (x - y) - z = (z - y) - x

III. (x÷y) ÷ z = (z÷y) ÷ x

• I only

• I and II only

• I and III only

• II and III only

Carlos began with twice as much money as David had. After Carlos gave $12 to David, Carlos still had $10 more than David. How much money did they have combined at the start?

• $34

• $68

• $102

• $108

On a typical day, a restaurant sells n grilled cheese sandwiches for p dollars each. Today, however, the manager reduced the price of grilled cheese sandwiches by 30% and as a result sold 50% more of them than usual. Which of the following represents the revenue for today's grilled cheese sandwich sales, in dollars?

• 0.5np - 0.3

• 1.05np

• 1.20np

• 1.50np

Which of the following is equivalent to 3m(m² x 2m) for all real values of m?

• 3m² + 6m

• 3m² x 6m

• 3m³ x 6m²

• 6m⁴

In a poker game, a blue chip is worth 2 dollars more than a red chip, and a red chip is worth 2 dollars more than a green chip. If 5 green chips are worth m dollars, then which of the following represents the value, in dollars, of 10 blue chips and 5 red chips?

• 50 + 3m

• 18 + 60m

• 40 + 3m

• 28 + 20m

A train travels at an average speed of 50 miles per hour for the first 100 miles of a 200-mile trip, and at an average of 75 miles per hour for the final 100 miles. What is the train's average speed for the entire trip?

• 58.5 mph

• 60.0 mph

• 62.5 mph

• 63.5 mph