Linear Equations
What is the slope-intercept formula?
What is the slope formula?
y=mx+b
m=(y-y)/(x-x) or m=the change in y over the change in x
What is the parent function of a quadratic equation and what is the shape?
y = x^2 and a parabola
What is the value of x in the following: 9 = 3x + 6
1
What is the vertex of a quadratic equation? What is the axis of symmetry on a quadratic graph?
Vertex: highest or lowest point. Axis of symmetry: the vertical line that runs through the vertex and divides the graph in to two symmetrical sides.
What type of equation is represented below?
y=120(1.06)x
Exponential Growth
In y=mx+b, what does m stand for? (Must give at least 3 different definitions of m)
slope - rise/run - rate of change - constant rate of proportionality - average rate of change - steepness - etc...
What is the standard form of a quadratic equation?
What is the vertex form of a quadratic equation?
Standard: ax^2 + bx + c
Vertex: (x-h)2+k
Expand (x-3)2+3x(2x+5) and name the polynomial
x2+14 and a Quadratic Binomial
What makes a number rational? Give three examples of rational and irrational numbers.
Rational numbers can be written as fractions. (Examples: 1/4, 6, 7.2)
Irrational (Pi, non-repeating decimals, e)
What is the 9th term in the following sequence?
12, 4, 4/3....
4/2187
In y=mx+b, what is b? Must give two definitions of the b value.
The y-intercept and the initial value
What happens when you change the value of c in ax^2 + bx + c?
The graph shifts up or down.
What are the solutions to x^2 - 8x + 15 ?
(Name this polynomial)
x = 3 and 5 or (3,0) and (5,0)
Quadratic Trinomial
What is the parent function of y = 30x - 277
y = x
If I have $600 I want to invest in a bond that accrues 5% interest compounded quarterly, how much money will I have earned in interest after 3 years?
$96.45
Write the equation of a line passing through the point (4,-7) and (-8,-4)
What is y=-1/4x-6
What happens when you change the value of a in ax^2 + bx + c?
The graph becomes more or less narrow.
What is the value of x in the following system of equations: 3x - 8y = -48 and 3x - 2y = 6
8
I have to buy books for my students. Which is the dependent in this situation, number of books or number of students?
The number of books I buy depends on the number of students. The number of books is dependent.
he half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning, how many grams would be left after 7.2 minutes has elapsed?
12.5 grams
What happens to the graph of y=-5x+2 if -5x+2 is multiplied by -3? Describe the changes to the graph.
New equation is y = 15x - 6, the graph now has a positive slope, and the y-intercept is -6.
What are the x-intercepts of a quadratic?
The solutions (roots, zeros, x-intercepts) - The values of x when y=0
What is the value of x in 6x^2 - 4 = 10x?
(-1/3,0) and (2,0)
What is a trend line on a scatter plot? How can it be found?
It is the line of best fit. The line that appears to capture most of the data as a trend. Regression in the calculator.
In 1990, there were 285 cell phone subscribers in the small town of Oxford. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were there in 1999?
43871 subscribers