Name _________________________
For those of you who can’t make 7:30 detention, complete all parts and show all
work or else you will be asked to re submit this!!!
Part I:
Solve each equation using the quadratic formula:
1) x2 - 7x + 6 = 0
2) x2 + 4x – 5 = 0
2
4) 2x + x – 1 = 0
5) 3x2 + 5x + 2 = 0
3) x2 + 3x + 2 = 0
6) 3x2 + 5x + 2 = 0
Part II:
Solve each quadratic equation using factoring:
1) x2 – 3x + 2 = 0
2) z2 – 5z + 4 = 0
4) r2 – 12r + 35 = 0
5) c2 + 6c + 5 = 0
2
7) x – 49 = 0
8) z2 – 4 = 0
3) x2 – 8x + 16 = 0
6) m2 + 10m + 9 = 0
9) m2 – 64 = 0
Part III:
1) Given triangle TRY, with coordinates T(-2,3), R(3,6), and Y(1,-1).
a) Find the coordinates of triangle T1R1Y1, the image of TRY after R90.
b) Find the coordinates of triangle T11R11Y11, the image of T1R1Y1 after rx-axis.
c) Find the coordinates of triangle T111R111Y111, the image of T11R11Y11 after ry = x.
2) Given quadrilateral ABCD, with coordinates A(-2,2), B(-2,-2), C(-5,-2), and D(-5,2).
a) Find the coordinates of A1B1C1D1, the image of ABCD after ry-axis.
b) Find the coordinates of A11B11C11D11, the image of ABCD after T4,-2.
c) Find the coordinates of A111B111C111D111, the image of ABCD after D2.
Part IV:
1) The area of a trapezoid is 28 square feet. The bases are 5 feet and 9 feet. what is the
height of the trapezoid in feet?
2) A 20ft by 15ft swimming pool is surrounded by a 2 ft wide sidewalk. A fence on the
edge of the sidewalk encloses the whole pool area. What is the area in square feet inside
the fence? What is the area in square feet of only the walkway?
3) The length of a rectangle is 2 times its width. The area of the rectangle is 72
centimeters. Find the dimensions of the rectangle.
4) The length of a rectangular garden is 4 meters more than its width. The area of the
garden is 60 square meters. Find the dimensions of the garden.
5) The perimeter of a rectangle is 20 inches and its area is 16 square inches. Find the
dimensions of the rectangle.
Part V:
In 1 – 8, a conditional statement is given. Write in words a) the inverse, b) the converse,
and c) the contrapositive of that conditional.
1) If today is Friday, then tomorrow is Saturday.
2) If Douglas does well in college, then he will apply to medical school.
3) Arlette will get a role in the play if she auditions.
4) Dorothea will graduate from law school in January if she takes courses this summer.
5) If John is accepted at the Culinary Institute, then he has a chance of earning a high
salary as a chef.
6) If a man is honest, he does not steal.
7) If Julia doesn’t water the plants, then the plants will die.
8) Rachel will not get her allowance if she forgets to do her chores.
Part VI:
Factor each trinomial into two binomials and check using FOIL:
1) a2 + 3a + 2
2) c2 + 6c + 5
3) x2 + 8x + 7
2
2
5) m + 5m + 4
6) y + 12y + 35
7) x2 + 11x + 24
2
2
9) 16 + 17c + c
10) x + 2x + 1
11) z2 + 10z + 25
13) a2 – 6a + 5
14) x2 – 5x + 6
15) x2 – 11x + 10
4) r2 + 12r + 11
8) a2 + 11a + 18
12) a2 – 8a + 7
16) y2 – 6y + 8
Part VII:
Factor each of the following using the GCF and check by using the distributive property:
1) 2a + 2b
2) 5x2 + 5
3) 18c – 27d
4) hb + hc
5) 6x – 18
6) 3a2 – 9
7) 4x2 – 4y2
8) p + prt
9) 10x – 15x3
10) 2x – 4x3
11) 8x – 12
12) 8 – 4y
13) 3ab2 – 6a2b
14) 10xy – 15x2y2
15) 21r3s2 – 14r2s
16) 2x2 + 8x + 4
Part IX:
For each example, write the equation for the circle:
1) center (4,7); r = 3
2) center (2,1); r = 8
3) center (-3,6); r = 8
4) center (-1,-1); r = 3.8
11) center (7,-1); r = 4
12) center (-3,8); r = 2.17
13) center (0,-6); r = 10
14) center (8,0); r = 5