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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# MATH FIELD DAY

A1. Solve the equation: ln(x – 7) = 0

A2. Let k be the number you receive. Find the radius of a circle whose circumference is kπ.

A3. Let k be the number you receive. Find the number of rational solutions of the equation
xk-1 = 4kx.

A4. Let k be the number you receive. Find the slope of the line passing through the points
(k,k + 1) and (k – 1,2k).

A5. Let k be the number you receive. How many prime numbers will be less than or equal
to k?

RELAY B

B1. Find the length of the line segment connecting two points (2,1) and (–1,–3).

B2. Let k be the number you receive. Find the absolute value of the difference of the two
solutions of the equation x2 = (k + 4).

B3. Let k be the number you receive. Find the sum of all positive factors of k (including 1
and k).

B4. Let k be the number you receive. Find the x–intercept of the line through (k – 11,k) with
slope 2.

B5. Let k be the number you receive. Simplify the expression RELAY C

C1. Find x: C2. Let k be the number you receive. Find the positive root of the equation
x(x – 2) = k.

C3. Let k be the number you receive. Find the radius of the circle in this figure where OP = 5
and PQ = k. The circle has center O and tangent PQ. C4. Let k be the number you receive. Find the length of a side of an equilateral triangle with
height OH =  C5. Let k be the number you receive. Find x: RELAY D

D1. Find the area of a square with diagonal D2. Let k be the number you receive. Find the k–th prime number.

D3. Let k be the number you receive from the front, and h be the number you receive from the
back. Find the positive root of the equation.
x(x – h) = k

D4. Let h be the number you receive. Find the slope of the line with the angle of inclination h  