What is the solution to a system of linear equations?
The point where the lines intersect.
200
Simplify
(p^2)^7
p^14
200
Write an equation of a parabola with the following transformations:
Translate the graph right three units and down six units
y=(x-3)^2 -6
200
What is the equation for a parabola in vertex form?
y=a(x-h)^2 + k
200
Solve for x:
x^2=81
x=9
x=-9
200
Solve the following inequality and graph your solution:
-2x<6
(see graph)
300
y=34(1.07)^x
Starting Value = ___________
Constant Multiplier= ________
Rate of Growth/Decay= _____
Percent Growth/Decay= _____
Starting Value = 34
Constant Multiplier= 1.07
Rate of Growth/Decay= .07
Percent Growth/Decay= 7%
300
Write an equation of a parabola with the following transformations:
Vertically stretched by a factor of 3 and reflected over x-axis.
y=-3(x)^2
300
Convert the following equation to Factored Form:
y=x^2 + 5x + 6
y=(x+3)(x+2)
300
Use the ZPP to find the roots:
y=(x-3)(2x+5)
x=3, x=-2.5
300
Solve the system using substitution:
y=5x-4
y=3x+6
x=5
y=21
400
The value of a new car depreciates at a rate of 3% each year. You buy a car for $18,000, how much will it be worth in 2 years?
$16,936.20
400
Use the following equation and point to solve for the stretch/shrink factor:
y=a(x + 3)^2 ; point ( -1, 8)
2
400
Convert the following equation to general form:
y=(x+4)^2 +10
y=x^2+8x+26
400
Solve the following quadratic equation:
y=x^2 - x - 12
x=-3
x=4
400
Solve the system using elimination:
4=2y+9x
3=-2y-2x
x=1
y=-2.5
500
A student wants to open a savings account at a local bank. She can either save $5000 at bank A which pays 4% interest monthly or $3000 at bank B which pays 9% interest monthly.
Which account will have more money after 3 months? How much money will be in the account at this time?
Bank A
$5,624.32
500
Describe the transformation from the mother function:
y=-2(x+3)^2 + 4
Translate left 3 units
Translate up 4 units
Flip
Vertical stretch by a factor of 2
500
Convert the following equation to general form:
y=-5(x+3)(x-1)
y=-5x^2-10x+15
500
Solve the following quadratic equation:
y=3x^2+4x-13
x=-2.85
x=1.52
500
Solve the following system of inequalities by graphing
y<2x+3
y>-3x+8