PSAT Geometry (Day 1) 24-25'

Front

If 6x = 25, what is the value of 3(x + 1/2)?

Back

14

Front

What expression gives the total amount Louis paid for two movies, including an 8% sales tax, if the first movie is at regular price r and the second has a 25% discount?

Back

1.08(r + 0.75r)

Front

What does the y-intercept of the equation y = 36 + 18x represent in the context of a golden delicious apple tree?

Back

The height, in inches, of a typical apple tree when it is planted.

Front

Which ordered pair (x,y) satisfies both equations y = x² + 3x - 4 and x = y - 4?

Back

(2,6)

Front

In a class where 65% of the students are women, if 52% of men and 44% of women received a certificate, what percentage of the class received a certificate?

Back

47%.

Front

What is the formula for calculating the total cost after applying a percentage discount and then adding sales tax?

Back

Total Cost = (Original Price - Discount) * (1 + Sales Tax Rate)

Front

Define the term 'y-intercept' in a linear equation.

Back

The y-intercept is the value of y when x = 0, indicating where the line crosses the y-axis.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x.

Front

How do you solve a system of equations graphically?

Back

By plotting both equations on the same graph and identifying their intersection point.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope but different y-intercepts.