Systems
On a graph, the solution to a system of equations is the __________________________________________.
Point of intersection
List all the factor pairs for 90.
1 and 90, 2 and 45, 3 and 30, 5 and 18, 6 and 15, 9 and 10. Each pair can also be negative.
What is the second difference in the sequence below?
5, 9, 15, 23, 33
8
Multiply (x - 3)(x + 3)
x2 - 9
(0, 26)
When using the elimination method, the linear equations must be in what form? (Write the form.)
Standard Form, Ax + By = C
Factor.
x2 - 14x + 48
(x - 6)(x - 8)
Create a table of at least 5 terms for an exponential function and explain how you know.
(45x2 + 9x - 3) + (-3x2 + 6x - 5)
42x2 + 15x - 8
What are solutions to a quadratic function?
The x-intercepts written in the form of x = ____.
Solve the system of equations.
y = -2x - 2
y = x + 0.5
(0.5, 1)
Factor.
3x2 - 18x + 27
3(x - 3)(x - 3)
Name the following sequence as linear, exponential, quadratic, or neither.
-2, -1, 0, 1, 0 -1, -2
Neither, because there is no second difference.
Simplify.
(x2 - x - 1) - (-2x2 - 2x + 2)
3x2 + x -3
Name the transformations for the function below.
-(x + 3)2 - 8
- Left 3 units
- Down 8 units
Is the point (1, -9) a viable solution for the following system of inequalities?
2x + 3y < -6
y - 4x > 2
If not, name a viable solution.
No.
Write an equivalent expression in factored form.
4x2 - 64
4(x - 4)(x + 4)
You are trying to dunk a basketball. The height of your feet above the ground over time is best modeled by what kind of function?
Quadratic
Multiply 4(2𝑥 + 1)(𝑥 − 2).
8x2 - 12x - 8
-x2 + 12x - 35 = 0
x = 5, x = 7
Solve the system of equations.
-14 = -20y - 7x
10y + 4 = 2x
(2, 0)
Write an equivalent expression in factored form.
6x2 - 21x - 45
3(2x + 3)(x-5)
Write the equation in Standard Form for the quadratic sequence below.
5, 8, 13, 20, 29
x2 + 4
Multiply.
(-5x3 - 2)(x3 + 0.5)
-5x6 - 4.5x3 - 1
What are the solutions to the following parabola?
8x2 - 50
x = -2.5