Answer:
y=8(x−8)(x+0.5)
Step-by-step explanation:
Part 1: Linear Systems and Line Segments
Create and attach a 1 page ‘cheat’ sheet for the Linear Systems Unit.
Solve each system by graphing:
y = x+2, y = 4-1
2x – y + 9 = 0, x + y – 3 = 0
Solve by substitution:
x – 2y = 4, 2x – 3y = 7
Solve by elimination:
3x + 8y = -3, x + 8y = -5
4x – 5y = -22, 5x +6y = -3
Find the length of the line segment joining each pair of points. (Express to nearest 10th of a unit)
(2,5) and (5,7)
(-1, -3) and (-2, -4)
Find the midpoint of each line segment.
M (-2, 2), P (4, 8)
A (3, 3), J (-9, 3)
The Midpoint of AB is M(-2, 1). IF A(-7, 3), what are the coordinates of B?
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Part 2: Trigonometry
Create and attach a 1 page ‘cheat’ sheet for the Trigonometry Unit.
Solve each right triangle:
Shape E
Shape F 62⁰ D
150 cm
ShapeText BoxA
Shape15⁰
ShapeB C
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Solve each triangle:
Shape L
58⁰
56⁰
M 19 cm N
ShapeJ
58⁰
18 mm 15 mm
K L
Khalid wants to be sure his boat is safely anchored. He knows that the angle of depression that the boat makes with the horizontal when anchored should be less than 12⁰. The boat is 100 m above the seabed and the anchor cable is 440 m long. Is Khalid safely anchored? Explain.
Part 3: Polynomials
Create and attach a 1 page ‘cheat’ sheet for the Polynomial Unit.
Simplify
(4x - 3) + (5x+4)
(2x2 – 3x + 4) – (x2 + 4x - 1)
(-6x3 yz2 )(-2xy2 z)
Factor, if possible
7x + 42
X2 + 7x + 12
3x2 = 12x = 9
X2 + 9
5x2 – 20x + 20
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Part 4: Quadratics
Create and attach a 1 page ‘cheat’ sheet for the Quadratics Unit.
Graph the data and write the relation in the form of
y=a(x−h)2
y=ax−h2
X
Y
-6
32
-5
18
-4
8
-3
2
-2
0
-1
2
Graph the data and write the relation in the form of
y=a(x−h)2
y=ax−h2
X
Y
-1
-8
0
-4.5
1
-2
2
-0.5
3
0
4
-0.5
Graph the relation by plotting the vertex and 2 other points.
y=(x+1)2−1
y=x+12−1
y=−2(x−6)2+2
y=−2x−62+2
For each, write the relation in standard form:
y=ax2+bx+c
y=ax2+bx+c
a=2, b=5, y intercept = 11
y=5x2+bx+c
y=5x2+bx+c
, vertex at (1, 4)
a=−3
a=−3
, passes through (2, 11) and (0, -5)
Factor:
x2−17x+66
x2−17x+66
x2−3x−18
x2−3x−18
x2+13x
x2+13x
x2−9
x2−9
Find the zeros.
y=(x+3)(x−3)
y=x+3x−3
y=−10x2
y=−10x2
y=8(x−8)(x+0.5)
y=8(x−8)(x+0.5)
