Science Bowl Practice Questions

Math - 6

46.

Short Answer: What is the slope of the straight line whose x-intercept is +4 (read: plus 4) and whose y-
intercept is +8 (read: plus 8)?

ANSWER: -2 (read: minus 2)

47.

Short Answer: The relation between y and x is given by the equation " y = ABS(4 -x) " (read: y equals
the absolute value of the quantity 4 minus x). If y equals 6, give all possible values for X.

ANSWER: 10 AND -2

48.

Short Answer: The relationship between y and x is given by the equation, y = x2 + 7x + 14 (read: y
equals x squared plus 7 x plus 14). For what values of x will y equal +2?

ANSWER: -4 AND –3

49.

Short Answer: The relationship between y and x is given by the equation: y = x2 - 2x + 8. For what
value of x is y a minimum?

ANSWER: 1

50.

Short Answer: A straight line is plotted on an XY coordinate axis. The line intercepts the y axis at 3
and makes an angle of 45 degrees with respect to the x axis. Give the equation for this line.

ANSWER: y = x + 3 or y = -x + 3

51.

Short Answer: A straight line intersects a circle in the first and second quadrants for x values of +3 and
-3. The equation of the circle is " x

2

 + y

2

 = 25 ". What is the EQUATION of the straight line?

ANSWER: y = 4