AlgFinalreviewFCA

Systems of Linear Equations

100

To solve a system of linear equations by graphing, look for the _____________ of the lines.

What is the intersection?

200

2x + 6y = 20

4x + 6y = 8

This system can best be solved the elimanation and the answers are

what are x = 6 and y = 4/3

300

The number of quarters and dimes if the sum of the quarters and dimes is 40 and the coins add up to $7.75.  

What is 25 quarters and 15 dimes.

400

The solution to the system, solved by substitution:

y = 2x - 1

2x + 3y = -7

what is x = -1/2  and y = -2

500

The sum of two numbers is 52.  The difference between the two numbers is 36.  The two numbers are:

What are 8 and 44

Polynomials

100

The name of the this polynomial by degree:

4x² + 3x - 8

What is quadratic

200

The name of this polynomial by number of terms:

7x + 9

What is a binomial.

300

The simplified form of 

(3x² - 12x + 8) - (-2x² + 7)

What is 5x² - 12x + 1

400

The simplified form of

(2x + 8)(-3x - 2)

What is

-6x² - 26x - 16

500

The simplified form of

(x - 7)²

What is 

x² - 14x + 49

Quadratic Functions

100

The graph of a quadration function is this shape.

What is a parabola?

200

The quadratic equation shown has this number of real number solutions:

4x² - 3x + 2 = 0

 

What is none?

300

The solution(s) to the quadratic function

 x² - 121 = 0

What is x = 11, x = -11

400

The vertex of the quadratic function

f(x) = -2x² + 5x - 1

What is (1.25, 2.13) ?

500

The transformations that occured to the parents function f(x) = x²  to get the following function:

f(x) = -(x - 3)² - 6

What are:  reflection over x-axis horizontal translation right 3, vertical translation down 6?

Exponential Functions

100

the meaning of "a" in the exponential function 

y = a * b^x

What is the initial value, or y-intercept

200

This exponential function shows growth or decay

y = 450(0.56)^x

What is decay?

300

The name of the line that the exponential function approaches but never touches.

What is asymptote?

400

The amount of money in an account in 8 years if the initial deposit was $2000 and the account has a 3.5% interest rate, compounded annually.

What is $2633.62?

500

A population that started at 50,000 and is declining at 2.2% per year will drop below 40,000 in approximately this many years.

What is ten?

Factoring

100

The GCF of  x⁴y³ - xy²

What is xy²?

200

The factored form of 

x² - 7x - 30

What is (x - 10)(x + 3) ?

300

The factored form of 

x² - 10x + 25

What is (x - 5)²     or  (x - 5)(x - 5)   ?

400

The factored form of   x² - 144

What is (x - 12)(x + 12)  ?

500

The factored form of  4x² + 12x + 9

What is (2x + 3)²  or  (2x + 3)(2x + 3)  ?