Solving Equations
Inequalities
Systems of Equations
Factoring
Quadratics
Exponentials
Ms. Ras Facts
1
Solve.
-4x + 48 = 16
x = 8
1
Write the inequality represented by the picture:
x<2
1
Find the solution to the system of equations represented by the graph.
(2,1)
1
What is the GCF between 8x3yz6 and 12xyz4?
4xyz4
1
What effect does the a-value have on the graph of the quadratic below?
y=-1/2x^2
Parabola becomes wider and opens downward.
1
Simplify the expression:
x^(-2)*x^5
x3
1
This is the city where Ms. Ras lives.
What is Tacoma?
2
Solve.
4(x + 7) = -2x - 8
x = -6
2
Find the solution to the inequality:
-6x > 8
x<-4/3
2
Solve the system:
y = 3x - 2
y = -2x + 18
(4, 10)
2
Factor using the GCF.
6x^4-10x
2x(3x^3-5)
2
Does the following quadratic have a minimum or maximum?
y = 2x²-3x-1
Minimum
2
Simplify the expression. (Use only positive exponents)
(3x^3/4)^2
(9n^6)/16
2
Ms. Ras went to these 2 high schools.
What are Holy Names and Kennedy?
3
Solve for t:
d = r*t
t = d/r
3
Find the solution to the inequality:
x/8 + 1 > -3
x > -32
3
Solve the system:
2x - y = 1
x + 3y - 4 = 0
(1,1)
3
Factor.
9-4x^2
(3-2x)(3+2x)
3
Write the quadratic in standard form:
y = -3(x+2)(x-1)
y=-3x^2-3x+6
3
Simplify
32^(3/5
8
3
This is Ms. Ras' favorite number.
What is 39?
4
Solve:
4x^2=100
x = -5, 5
4
Solve.
-10>=5/3(h-3)
h <=-3
4
Find the solution.
-2y = x +2
-4 = 4y + 2x
Infinitely many solutions
4
Factor.
9x^2-30x+25
(3x-5)^2
4
What is the focus of the parabola?
y=-1/4x^2
(0,-1)
4
Describe the domain and range of the parent exponential function:
y=2^x
Domain: All real numbers
Range: y>0
4
This is the legal first name of Ms. Ras.
What is Magdalene?
5
Find the solution:
|3x-1| = 17
x = 6, -16/3
5
Solve the inequality.
11>=|4x-5|
-3/2<=x<=4
5
Find the solution(s):
-3y=6x+12
y=x^2+2x-1
(-3, 2) and (-1, -2)
5
Factor the polynomial completely.
20c+4c^3-24c^2
4c(c-5)(c-1)
5
What is the vertex?
y = (x-4)2 - 9
(4, -9)
5
Describe the domain and range of the following exponential function:
y=1/2(2)^x-3
Domain: All real numbers
Range: y>-3
5
Ms. Ras has a vampire bite scar on her neck. It is not from a bat, but rather from the fangs of this many-legged arthropod.
What is a centipede?
6
Solve. Answer in simplest radical form.
0 = 5x^2-8x+1
x = (4+-sqrt(11))/5
6
Write the system of inequalities represented in the graph.
y>=-x-3
y<=2x+3
6
Find the solution(s)
y = x^2-3x-1
y = -4x-5
No real solution.
6
Factor completely.
-18x^2-15x+12
-3(2x-1)(3x+4)
6
What is the vertex?
y=-1/3x^2+2x-5
(3,-2)
6
A city has a population of 250,000. The population is expected to decrease by 1.5% annually. Write a function that represents the situation
p = 250,000(.985)t
6
Ms. Ras has a tattoo of this object.
What is a mailbox?