Algebra Act

Which of the following equations expresses the relationship between x and y in the table?

The average of x and t is y. If s = 2y, what is the average of s, x, and t in terms of y?

• 3y

• 2y

• y

In the standard (x,y) coordinate plane, what is the slope of a line that is perpendicular to 4x − 6y = 14?

In the xy-coordinate system, line k passes through points (-5m, 0) and (0, 2m). Which of the following is a possible equation of line k?

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

If g(x) = −1/2 f(x), for all values of x, which of the following is a true statement describing the graph of g in comparison with the graph of f, shown below?

• It is narrower and opens downward.

• It is narrower and opens upward.

• It is the same width but opens upward.

• It is wider and opens downward.

• It is wider and opens upward.

After receiving a 25% discount, Sue paid $180 for a lawnmower. What is the original price of the lawnmower before the discount?

• $215

• $220

• $225

• $240

• $245

Which of the following mathematical equations is equivalent to the statement “A number, x, squared is 39 more than the product of 10 and x” ?

• 2x = 39 + 10x

• 2x = 39x + 10x

• x² = 39 - 10x

• x² = 39 - x¹⁰

• x² = 39 + 10x

• a³b + cd

• -a(ad + bc)

• a(ad-bc)

• a(bc - ad)

• a(ad + bc)