Summer Work - Preparation for Geometry
For the best results, please complete this assignment after August 1, 2016.
This assignment is due on the Friday, August 26, 2016.
1. Complete your work neatly on lined paper.
2. You may work together, but please be sure you know the material.
3. We will review this on the first couple of days of class, so please
make note if you have any questions.
Topics Covered:
I.
II.
III.
IV.
V.
Solving Linear Equations
Quadratics
Systems of equations
Coordinate Plane
Radicals
The odd answers are provided on the last page, so that you may check your work.
Summer Geometry Packet- Algebra I Review
Name: ____________________
SHOW ALL WORK ON A SEPARATE SHEET OF PAPER, AND CIRCLE YOUR ANSWERS!
Section I: Linear Equations
Solve each of the following linear equations.
1.
2.
3.
4.
5.
6.
7.
8.
Answer each of the following by setting up and solving an equation.
9. The width of a rectangle is 15 cm less than the length. The perimeter is 98 cm. Find the rectangle’s
dimensions.
10. In any triangle, the sum of the measures of the angles is 180 degrees. In
is three times as large as the measure of
and also 16 degrees larger than
, the measure of
. Find the measure of
each angle.
11. Find the measure of two supplementary angles if one measures 24 degrees more than twice the
other.
12. The degree measures of the angles of a triangle are consecutive integers. What does each angle
measure.
13. A rectangle and a square have the same width. The rectangle is 6 cm longer than the square. The
perimeter of the rectangle is twice the perimeter of the square. Find the dimensions of the rectangle.
Section II: Quadratics
Solve each of the following equations by factoring.
1.
2.
3.
4.
5.
6.
7.
8.
9.
Section III: Systems of Equations
Solve each of the following systems of equations.
1.
2.
3.
4.
5.
6.
7.
8.
9.
Section IV: Coordinate Plane
Plot each of the following points on the coordinate plane.
1. A= (-3, 2)
2. B = (5, 1)
3. C = the origin
4. D = (0, -4)
5. E = 3 on the x-axis
6. F = (-2, -2)
7. G = (1, 0)
8. H is 2 units up and 3 units left of D
Section V: Radicals
Simply the following if possible.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Odd Answers
Section I:
1.
3.
5.
7.
9. 32 cm x 17 cm
10. 28°, 68°, 84°
11. 52° and 128°
13. 3 cm x 9 cm
3. {-20, 5}
5. { , 8}
7.
9.
3. (5, 3)
5. (4, -2)
7. (-1, -1)
9. (1, 2)
Section II:
1. {5 dr}
Section III:
1. (-5, -11)
Section IV:
#1-8
Section V:
1.
3.
5.
7.
9.