Patterns
Linear Functions
Quadratic Equations
The Parabola
Mystery
100
How many trees are in the Tenth Term of this pattern?
21
100
What is the y -intercept of the line 3x-7y=21 ?
-3
100
What is the smaller of the two solutions to the quadratic equation below?
x^2+6x+5=0
The smaller solution is
x=-5
100
What is the y -intercept of the parabola given by the equation below?
y=2(x-3)(x+2)
-12
100
If x=4 is one of the x -intercepts of a polynomial function's graph, what expression MUST be a factor of the given polynomial?
(x-4)
200
Given the sequence of numbers
3, 6, 12, 24,...
what is the Seventh Term of this pattern?
This is exponential growth.
The Seventh Term is 192.
200
What is the slope of the line passing through the points (-3,-1) and (-5,-8) ?
m=3.5
200
Below, an equation is being solved by completing the square. What number should be added to both sides of the equation as the next step in the solution?
Equation: x^2+5x-6=0
Step 1: x^2+5x=6
6.25
200
What is the axis of symmetry of the parabola given by the equation below?
y=-4(x-9)(x+15)
x=-3
200
What is the factor that the two expressions below have in common?
x^2-6x+8
x^2-16
(x-4)
300
These are the first two terms of a pattern. Assuming every cube face is painted a different color, how many unit cubes in the Tenth Term have one of their faces painted green?
196
300
For the system of equations below, what value of the constant c will ensure that the system has infinitely many solutions?
4x-5y=9
12x-15y=3c
c=9
300
How many solutions does the equation below have?
7x^2-19x+13=0
The equation has no real solutions.
300
What is the minimum of the parabola given by the equation below?
y=x^2-6x+4
-5
300
The height of a toy rocket, h , t seconds after being launched upwards is given by the equation below.
h(t)=-16t^2+98t+17
What was the velocity, in feet per second, with which the rocked was launched?
98 feet per second