Name _______________________________________ Date _________________ Color ___________
Algebra I
Ms. Hahl
Directions: While you are home for the next few days, please complete the following sheet. This sheet will be
extra review for the Exam #2 which you will take when we return to school. Please bring the completed sheet
with you to class on Monday May 4th when we return to school. If you have any questions while completing
the sheet, remember that you are more than welcome to e-mail me.
Part 1:
Directions: Use your knowledge of Pythagorean Theorem to solve for the missing side of the triangle. Round the
side of the triangle to the nearest tenth.
1)
2)
3)
4) Computer monitors are usually measured along the diagonal of the screen. A 19-inch monitor has a
diagonal that measures 19 inches. If the height of the screen is 11.5 inches, how wide is the screen?
5) A painter has placed the base of a ladder 27 feet from a wall. If the top of the ladder rests 36 feet up
on the wall, how long is the ladder?
6) Firefighters have a 17 foot extension ladder. In order to reach 15 feet up a building, how far away from
the building should the foot of the ladder be placed?
Part 2:
Directions: Use your knowledge of Trigonometry to solve for the missing side or angle of the triangle. Round all sides
to the nearest tenth and all angles to the nearest degree.
7)
8)
15
9)
9
19
10) A boy is sitting on the floor flying a kite. He has 360 feet of string. If the kite is 190 feet high, find
the angle of elevation.
11) A ladder is leaning against a building. If the angle of depression is 58º and the base of the ladder is
12 feet from the base of the building. How long is the ladder?
12) A 15-foot ladder is leaning against a building. The base of the ladder is 9 feet away from the base of
the building. Find the angle of elevation created by the ladder.
Part 3:
Directions: Graph the following quadratics on a separate sheet of graph paper.
13)Graph:
14) Graph:
15) Graph:
a) Find the axis of symmetry.
a) Find the axis of symmetry.
a) Find the axis of symmetry.
b) Find the vertex.
b) Find the vertex.
b) Find the vertex.
c) Find the roots.
c) Find the roots.
c) Find the roots.
d) Is the vertex a max./min.?
d) Is the vertex a max./min.?
d) Is the vertex a max./min.?
Part 4:
Directions: Use the separate sheet of provided notes, to solve and checkthe following Quadratic-Linear Systems of
equations.
16)
17)
Name __________________________________________ Date _________________ Color _________
Algebra I
Ms. Hahl
Solving Quadratic – Linear Systems
NOTES
1) Solve the following Quadratic – Linear system of equations.
a) ALGEBRAICALLY/GRAPHICALLY:
Solve both equations for
Vertex:
Roots:
b) USING THE GRAPHING CALCULATOR:
Solve both equations for
Put
into
Put
into
Graph
Look to see how many times the line crosses the parabola
(Move to left Point of intersection)
(Calc)
(intersect)
(Move to right Point of intersection)
(Calc)
(intersect)
Extra Examples:
1)
2)
3)
4)
5)
6)
7)
8)