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At a furniture store, the original price of a chair was discounted by 30 percent. A customer purchased the chair at the discounted price and paid a sales tax of 8 percent on the discounted price. If the customer paid a total of $$x$$ dollars for the chair, what was the dollar amount of the original price of the chair, in terms of $$x$$?
An object travels at a speed of 80 kilometers per hour. Which of the following is closest to this object' s speed in miles per second? (1 kilometer equals 0.621 mile, rounded to the nearest thousandth.)
In a 100-milliliter solution, 9 percent of the volume is alcohol and the rest is water. How many milliliters of water must be added to this solution to make a new solution that is 6 percent alcohol?
$$x$$ and $$s$$ are positive.

Quantity A

The amount of money invested for one year at $$\frac{x}{2}$$ percent simple annual interest that will earn $$2s$$ dollars in interest in that year

Quantity B

The amount of money invested for one year at $$x$$ percent simple annual interest that will earn $$s$$ dollars in interest in that year


Which of the following equations does NOT belong to the family of equations of the form $$kx^2=2k^2*y$$, where k is a nonzero integer?
Which of the following is equal to $$\frac{5^9-5^8}{4}$$
$$x$$ and $$y$$ are positive integers. $$x+y=15$$ $$y^2-x^2=105$$

Quantity A

$$y$$

Quantity B

$$12$$


In the $$xy$$-plane, the lines with equations $$y= 3x-1$$ and $$y=mx+1$$, where m is a constant, intersect in quadrant I. Which of the following could be the value of $$m$$?
For how many pairs of numbers $$x$$ and $$y$$ does $$(x - 7)^2 + (y + 3) ^2 = 0$$?
In the $$xy$$-plane, the point $$(s, 2s-4)$$ lies on the line with equation $$y=(\frac{-5}{2})x+\frac{1}{3}$$. What is the value of s? Give your answer as a fraction.
In the $$xy$$-plane, the graph of $$y=x^3-4x$$ intersects the x-axis between $$x=-1$$ and $$x=5$$ at how many points?
Line k in the xy-plane has y-intercept 8 and a negative x-intercept. The area of the triangle bounded by line k and the coordinate axes is 20. What is the slope of $$k$$? Give your answer as a fraction.
In the rectangular coordinate system, point $$(5, 5)$$ is equidistant from points $$(x, 0)$$ and $$(0, y)$$.

Quantity A

$$x$$

Quantity B

$$y$$


Quantity A

The sum of the coordinates of point P

Quantity B

$$0$$


In the $$xy$$-plane, the points $$(-2, 1)$$ and $$(2, 3)$$ lie on line l. Which of the following points does NOT lie on line l?
Of the employees in the 2001 workforce who were hired in 1997, 40 percent were hired to fill positions in a new subdivision of Company I. Approximately how many of the employees in the 2001 workforce were hired in 1997 to fill positions in the new subdivision?
If the ratio of the number of employees in the 2001 workforce who were hired in 1996 to the total number of employees hired in 1996 was 2 to 3, approximately what was the total number of employees hired in 1996?
In the 2001 workforce, the average (arithmetic mean) salary of the employees hired prior to 1999 was $39,900, and the average salary of the employees hired in 1999 and 2000 was $30,100. Which of the following is closest to the average salary of all employees in the 2001 workforce?

Quantity A

The number of positive integers that are factors of both 24 and 30 but are not factors of 20

Quantity B

The number of positive integers that are factors of both 20 and 30 but are not factors of 24


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