Rational Thinking
What is the simplified form of (x + 8)(x − 8)?
Rocking Reality
Solve It
What is the simplified form of (2x − 5)2?
Shape Shifter
What is the factored form of x2 − 49?
Geometry Gems
What is the factored form of 8x2 + 3x − 5?
Formula Formula Formula
What is the factored form of 2x2 − 18x + 28?
Fortune Telling 101
What is the midpoint between the points (–2,–10) and (10,2)?
Perfect Plots
What is the distance between the points (–4,7) and (6,–3)?
Dynamic Data
The coordinates of the midpoint of a line are (9,–13).
The coordinates of an endpoint of the line are (–4,5). What are the
coordinates of the other endpoint?
HINT: (The "other endpoint" = x; use the midpoint formula )
(9+x) = -4 and (-13+x) = 5
2
2
Solve for x
Graph Graph Graph
Point P(5,7) and Q(–4,–5) are the endpoints of a diameter of a circle.
What are the coordinates of point O, the center of the circle?
Hint: Midpoint formula
Inequalities
A parallelogram has the vertices (5,2), (8,4), (7,8), and (4,6). At what
point do the diagonals intersect?
HINT: Find the "distance(formula)" for the diagonal and then find
the midpoint of the diagonal.
Choose the coordinates that are the endpoints of the diagonal and
not the sides of the parallelogram
Earth Shaking Equations
What is an equation in slope-intercept form of the line perpendicular to
the line passing through the points (4,–5) and (2,6)?
HINT: a)Find the slope first. (slope formula)
b)Perpendicular slope is the complete opposite of the slope you
found in a. (flip and change the sign)
c) Use y=mx+b - plug in the slope for b and one of the
coordinates from the question to find b.
d) Now write the complete equation in slope intercept form.
Exceptional Exponents
What is the equation of a line that goes through (–3,4) and is parallel to
the line with equation x + 3y = –8?
HINT:
a) Change the equation above to slope intercept form. (The slope will stay
the same since the lines are parallel.)
b) Plug in the coordinates into the equation in a to find b
c) Write the complete equation in slope intercept form
Funky Functions
The middle school student council sold tickets this week for the school’s
dance. The matrix represents tickets sold at each grade level from
Monday through Thursday. Which number represents the difference in
tickets sold on Thursday and on Monday?
Sloping
The Last Word
What is the result of performing the indicated matrix operations?