Linear Systems
What does "P.O.I" stand for?
Point of Intersection
What method can be used for factoring?
FOIL
What is "CTS" method?
Completing the Square
TRUE OR FALSE:
Similar triangles have the same angles and sides.
False! Similar triangles have the same angles BUT not the same sides, they are just the same ratios.
What are the 2 ways you can use to solve a linear system?
Substitution and Elimination
Expand and Simplify:
(y+5)(y+9)
y2 + 14y + 45
How do "h" and "k" affect a parabola?
"h" represents the horizontal shift and "k" represents the vertical shift.
What are the three ratios?
SOH, CAH, TOA
Translate this sentence into an equation:
Brad has 8 more fidgets than Samantha. Together, they have 23 fidgets.
x + (x+8) = 23
Factor:
x2 - 49
(x-7) (x+7)
State an equation for:
a parabola that is reflected in the x-axis, is stretched by a factor of 5, is shifted 5 units to the right, and down 2 units.
y = -5(x - 5)2 - 2
Solve:
cos X = 0.84562
X = 32.26
Solve:
y + 3x = 6
y = 2x + 1
x = 1
y= 3
Common Factor:
9m4n2p5 - 9m3n3p3 + 27m2n4p4
= 9m2n2p3 (m2p2 - mn + 3n2p)
rewrite in form "y = a(x - h)2 + k" form:
y = x2 + 8x - 7
y = (x + 4)2 - 23
When is the cosine law used?
1. There is a contained angle
2. All 3 side lengths are given
Solve:
Gregory works half as many hours per
week as Paul. Between the two, they work
a total of 48 hours one week. How many hours did they each work?
Gregory works 16 hours and Paul works 32 hours
Factor fully:
10e2 + 31e + 3
(10e + 1) (e + 3)
Find the x values
2x2 - 22x + 48 = 0
x1 = 8
x2 = 3
Find side b using the given information:
Angle A = 74o
Angle B = 45o
Side a = 25 cm
Side c = 18 cm
18.3 cm