sat mock test

A commercial airplane that is 1,500 miles into a 2,500-mile journey is traveling at 450 knots in still air when it picks up a tailwind of 150 knots (in the same direction). If h is the number of hours remaining in the airplane's flight, which of the following equations best describes the situation?

1 knot = 1.15 miles per hour (mph)

• 1,500+690h=2,500

• 1,500+600h=2,500

• 1,500-600h=2,500

• 1,500-690h=2,500

Gary learned that the value of his car depreciates by 15% of its initial purchase value each year. If the initial purchase value of Gary's car is m dollars, which of the following functions best describes the value of his car one year after purchase?

• f(m) = 0.15m

• f(m) = 0.85m

• f(m) = 1 - 0.15m

• f(m) = 1 - 0.85m

Which of the following is an equation of the line in the xy-plane with x-intercept 5/3 and y-intercept 10/7?

• -7y+6x=10

• 7y+6x=-10

• 7y+6x=10

• 7y-6x=10

11e - 9f + 1 = 5(f - 3e)

2f +4e = 3

Consider the system of equations. Which of the following statements is true?

• There is only one solution (e, f ) and e * f is positive.

• There is only one solution ( e, f ) and e * f is negative.

• There are infinitely many solutions.

• There are no solutions.

Zaid and Matias, two farmers, constructed a 792-foot fence around their very large garden. If Zaid constructed 20% more of the fence than Matias did, how many feet of the fence did Zaid construct?

The graph of a line in the xy-plane has a slope of 4 and contains the point (1, -5). The graph of a second line passes through the points (0, 4) and (12, 0). If the two lines intersect at the point (a, b), what is the value of a - b ?

• -9

• -5

• 0

• 4

Nadine has 4 gallons of gas in her car. If the fuel efficiency of her car is 23 miles per gallon, how many miles can Nadine drive before running out of gas?

Sean was trying to drink a slushy beverage as fast as he could. The graph describes the volume, v, of the slushy beverage remaining in the cup, in milliliters, as a function of time, t, in seconds. How many milliliters of slushy beverage did Sean drink every 5 seconds?

• 50

• 40

• 25

• 8

The scatter plot depicts the number of women in the United States Congress, f, from 1970 to 2009. If x represents the number of years since 1970, which of the following is the best exponential model for this data?

• f(x)=1.056(12.590)^x

• f(x)=12.590(0.106)^x

• f(x)=12.590(1.056)^x

• f(x)=125.90(1.056)^x

If m^2+p^2=x and 4mp=y, which of the following is equivalent to 4x+2y ?

• (2m+p)^2

• (2m+2p)^2

• (4m+2p)^2

• (4m+8p)^2