IM Algebra Review - 2nd Semester (Units 5 and 6)

Exponential Functions

100

The piece of information that tells us the equation y = 3(1.67)^x  shows growth.

What is the growth factor is greater than 1?

200

The number of bacteria if a population starts with 50 and it triples every hour for 8 hours.

What is 328,050?

300

The value of a computer after 2 years that cost $2000 and depreciates 3% every year.

What is... $1881.80?

400

The value of a car whose initial value is $28,000 and loses 1/5 of its value each year for 4 years. Round to the nearest whole dollar.

What is $11,469?

500

The value at the end of a one year investment: $4000 invested at 8% compounded quarterly. Round to the nearest whole dollar.

What is $4,330?

Multiplying Polynomials

100

3(2x - 9)

What is 6x - 27?

200

 (2x + 4)(3x - 1)

What is... 6x² + 10x - 4

300

(x + 3)(x - 3)

What is x² - 9 ?

400

(3x - 5)²

What is 9x² - 30x + 25 ?

500

3(2x + 1)²

What is 12x² + 12x + 3 ?

Quadratic Transformations

100

The description of the transformation for the equation y = x² + 3 

What is up 3 units?

200

The description of the transformation for the equation y = x² - 2

What is down 2 units?

300

The description of the transformation for the equation y = (x - 5)²

What is right 5 units?

400

The description of the transformation for the equation y = - (x + 2)² - 8

What is 2 units left and 8 units down and reflected over the x axis?

500

The new vertex of a parabola whose equation is y = (x + 3)² + 2 after it has been moved left 3 and down 10.

What is ( - 6, - 8)?

Quadratic Functions

100

The concavity of the equation y = -x² + 3x - 4.

What is down?

200

The y-intercept of the equation y = x² + 4.

What is y = 4 or (0,4)?

300

The y-intercept of the equation y = 5x² - 10x - 19.

What is y = -19 or (0, -19)?

400

The x-intercepts of the equation y = (x - 3)(x + 7).

What are x = 3 and -7 or (3,0) and (-7,0)?

500

The equation of a quadratic function that is concave down and has x-intercepts (4, 0) and (-7, 0).

What is f(x) = - (x - 4)(x + 7)

Quadratic Functions Part 2

100

The vertex of the quadratic y = (x - 3)² + 4.

What is (3, 4)?

200

The vertex of the quadratic y = (x + 6)²

What is (-6, 0)?

300

The vertex of the quadratic y = x²

What is (0,0)?

400

The maximum/minimum of the function f(x) = -x^2 - 4x +2

What is maximum: (-2, 6)

500

The equation that has a larger x-coordinate for the vertex.  

 f(x) = x² + 2x - 3  

or 

 g(x) that has points (3,2) (4,-5) and (5,2)

What is g(x)? 

[f(x) has a vertex at (-1, -4) while g(x) is at (4, -5).]