Unit 1 - Algebra Functions
Unit 2 - Systems of Equations
Unit 3 - Solve and Factor Quadratics
Unit 3 - Quadratic Graphs
Miscellaneous
1
Solve.
3(x-4)^2-5=70
x=9,-1
1
What does a system of equations look like with no solutions?
No intersections...parallel linear functions.
1
Simplify.
(5-i)/(1+2i)
(3-11i)/5
1
Write the equation of a quadratic in STANDARD FORM that has a vertex of (5,-1) and goes through the point (6, -4). (Hint: Use a different form for a quadratic to find an equation FIRST. Then convert to standard form.)
f(x)=-3x^2+30x-76
1
Who did Shrek marry?
Princess Fiona
2
Write and absolute value functions that compresses, reflects over the x-axis, shifts up, and shifts right.
Answers will vary.
2
Solve.
{(-3x-3y=-18),(y=-6x+21):}
(3,3)
2
Simplify:
14isqrt(-32)
-56sqrt(2)
2
Find the y-intercept.
f(x)=(x+7)(x-3)
(0,-21)
2
What year was Timberland established?
2002
3
Describe the transformations of the following function:
f(x)=4(x+9)^2
stretch 4
left 9
3
Solve.
{(5/2x-3/4y=46), (-7/8x-3y=10):}}
(16,-8)
3
Solve.
5x^2+4x+8=0
x=(-2+-6i)/5
3
Find the increasing interval AND axis of symmetry for the function:
f(x)=-x^2-4x-3
AOS
x=-2
Increasing interval
(-infty,-2)
3
What do cows drink?
water
4
Find
5f(1)-2f(10)
818
4
What does a systems of linear equations look like that has infinite number of solutions?
same line
4
Factor completely:
18x^3+45x^2-2x-5
(3x-1)(3x+1)(2x+5)
4
Rose threw the "Heart of the Ocean" off the back of the titanic at the end of the movie. The height of the necklace is modeled by the following equation. What is the maximum height of the necklace? (Hint: draw a picture)
y=-16x^2+32x+80
96 feet
4
What is Timberland's Head Principals name?
Dr. Lindquist
5
Solve.
-7abs(x/4)+2=-12
x=8,-8
5
Solve:
{(y=(x-1)^2-3),(y+x=0):}
(-1,1)(2,-2)
5
Factor:
5x^2-22x+8
(5x-2)(x-4)
5
Find the x-intercepts:
f(x)= x^2-4x-1
(2+sqrt(5),0) (2-sqrt(5),0)
5
How many spots are on a monopoly board?
40
28 properties, 22 streets, 4 railroads, 2 utilities