SAT math questions practice 2

The equation y = x + a is graphed in the xy plane, where a is a positive constant. A second equation y = x - a is graphed in the same xy plane. How do the slope and y-intercept of the graph of the first equation compare to the slope and y-intercept of the second equation?

• The slopes are the same; the y-intercept of the first equation's graph is the point (0, a) and the y-intercept of the second equation's graph is the point (0, -a).

• The slopes are the same; the y-intercept of the first equation's graph is the point (0, -a) and the y-intercept of the second equation's graph is the point (0, a).

• The y-intercepts are the same; the slope of the first equation's graph is a, and the slope of the second equation's graph is -a.

• The y-intercepts are the same; the slope of the first equation's graph is -a, and the slope of the second equation's graph is a.

The owner of a landscaping company is developing a proposal to maintain the grounds of a building. It is estimated that 75 gardening hours and 25 foreman hours will be required. The total budget for these hours is $1,600. The hourly wage for a foreman is 30% more than a gardener plus an additional $1.65 per hour. Which of the following systems of equations can be used to determine the hourly wages of a gardener g and a foreman f so that the total wages are $1,600?

• 25g + 75f = 1600

  f = 1.3g + 1.65

• 25f + 75g = 1600

  f = 1.3g + 1.65

• 25g + 75f = 1600

  g = 1.3f + 1.65

• 25f + 75g = 1600

  g = 1.3f + 1.65

Tags

CCSS.8.EE.C.8C

More than 450 students traveled to a state park for a field trip. The school allowed 6 students to travel by car, and the rest traveled on 11 buses, each of which held the same number of students. If there were s students in each bus, which inequality best represents this situation?

• 11s + 6 > 450

• 11s + 6 < 450

• 6s + 11 > 450

• 6s + 11 < 450

Tags

CCSS.7.EE.B.4B

If 16 - 7w = w + 14 - 6w, what is the value of w - 1?

• w - 1 = -2

• w - 1 = 0

• w - 1 = 1

• w - 1 = -3