8th grade Jeopardy review

Quadratic functions

100

What is the vertex of the function : The coordinates of the vertex for the quadratic function y = (x - 3)^2 + 5. 

(3,5)

200

The y-intercept of the parabola defined by the equation y = 2x^2 - 4x - 6.

(0, -6)

300

What is the AOS ( Axis of symmetry) for the following equation: y = x^2 + 6x + 8. 

x = -3

400

What are the two values of x where the graph of y = x^2 - 9 crosses the x-axis.

x = -3 and x = 3

500

Based of the equation y = -3x^2 + 12x - 1 , does the graph have a max or min? 

Maximum

Polynomials

100

The specific name given to a polynomial with exactly three terms, such as x^2 + 5x + 6.

Trinomial

200

The degree of the polynomial  : - 5x^2  + 4x^3 + 2x - 1.

3

300

What is the simplifies expression when you add the following : (3x^2 + 4x) + (2x^2 - 7x). 

5x^2 - 3x

400

What is the simplified product of the two binomials 

(x + 3)(x - 5)?

x^2 - 2x - 15

500

The factored form of the expression 6x^3 + 12x^2 after pulling out its greatest common factor.

6x^2(x + 2)

Systems

100

true or false : The ordered pair (2, 3) is a solution to this system of equations: x + y = 5 and 2x - y = 1. 

True

200

What is the value of y in this solution set: 

x = 4

y = 2x + 3$. 

11

300

If a system consisting of two linear equations has no solution, this is the geometric relationship between the two lines when graphed. ( describe the lines)

Parallel Lines

400

what is the solution to the following : 

 x + y = 10

x - y = 4

(7, 3)

500

what is the solution to the following :

2x + y = 11

x - y = 1 

(4, 3)

Exponential functions

100

In the exponential function y = 5 (2)^x, this number represents the initial value.

5

200

the function y = 100(0.85)^x represents this specific type of exponential behavior.

Exponential Decay 

300

The value of y when x = 3 for the function y = 2(3)^x.

54

400

If a population of bacteria doubles every hour starting with 10 bacteria, this is the complete exponential equation used to find the population, y, after x hours.

y = 10 (2)^x

500

While linear functions grow by adding a constant amount each time, exponential functions grow by doing this action repeatedly.

Multiplying

Formula

100

what is the midpoint formula? 

(x_{1 +} x₂/2 , y_{1 +} y₂/2)

200

What is the Quadratic Formula

-b (plus or minus) Square root of b^2 - 4ac / 2a

300

What is point slope formula?

y1 = m ( x - x₁)

400

What is the exponential equation?

a(b)^x

500

Factored form equation

y= a (x - r₁)(x - r₂)