Solving Equations
Inequalities
Systems of Equations
Factoring
Quadratics
Exponentials
100
Solve.
-4x + 48 = 16
x = 8
100
Write the inequality represented by the picture:
x<2
100
Find the solution to the system of equations represented by the graph.
(2,1)
100
What is the GCF between 8x3yz6 and 12xyz4?
4xyz4
100
What effect does the a-value have on the graph of the quadratic below?
y=-1/2x^2
Parabola becomes wider and opens downward.
100
Simplify the expression:
x^(-2)*x^5
x3
200
Solve.
4(x + 7) = -2x - 8
x = -6
200
Find the solution to the inequality:
-6x > 8
x<-4/3
200
Solve the system:
y = 3x - 2
y = -2x + 18
(4, 10)
200
Factor using the GCF.
6x^4-10x
2x(3x^3-5)
200
Does the following quadratic have a minimum or maximum?
y = 2x²-3x-1
Minimum
200
What is the growth factor for the following problem? A patch of grass 500m^2 expands at a rate of 9.5% each week.
1.095
100% + 9.5% = 109.5% --->1.095
300
Solve for t:
d = r*t
t = d/r
300
Find the solution to the inequality:
x/8 + 1 > -3
x > -32
300
Solve the system:
2x - y = 1
x + 3y - 4 = 0
(1,1)
300
Factor.
9-4x^2
(3-2x)(3+2x)
300
Write the quadratic in standard form:
y = -3(x+2)(x-1)
y=-3x^2-3x+6
300
What is the growth/decay rate found in the following problem?
Y = 2332(1.125)^x
12.5% growth or 112.5%
400
Solve:
4x^2=100
x = -5, 5
400
Solve.
-10>=5/3(h-3)
h <=-3
400
Find the solution.
-2y = x +2
-4 = 4y + 2x
Infinitely many solutions
400
Factor.
9x^2-30x+25
(3x-5)^2
400
What is the vertex of the parabola? ( , )
y= -2x^2 +8x +8
(2, 16)
400
100 Rabbits increasing by 7.5% each month. How many after 4.5 months?
138 Rabbits
500
Find the solution:
|3x-1| = 17
x = 3, 16/3
500
Solve the inequality.
11>=|4x-5|
-3/2<=x<=4
500
Find the solution(s):
-3y=6x+12
y=x^2+2x-1
x = -3, -1
500
Factor the polynomial completely.
20c+4c^3-24c^2
4c(c-5)(c-1)
500
What is the vertex?
y = (x-4)2 - 9
(4, -9)
500
How much is your 5000$ car worth in 18 months if it depreciates each month by 3.5%?
y=1/2(2)^x-3
$2633
600
Solve. Answer in simplest radical form.
0 = 5x^2-8x+1
x = 4+-sqrt(11)
600
Write the system of inequalities represented in the graph.
y<=-x-3
y>=2x+3
600
Find the solution(s)
y = x^2-3x-1
y = -4x-5
No real solution.
600
Factor completely.
-18x^2-15x+12
-3(2x-1)(3x+4)
600
What is the vertex?
y=-1/3x^2+2x-5
(3,-2)
600
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