Algebra 2 Semester 1 Final Review

Sequences & Functions

100

Write the next three terms of the sequence: 4, 7, 10, 13, __, __, __.

What is 16, 19, 22? (common difference = 3)

200

Write an explicit formula for the arithmetic sequence where a₁= 8 and d=3.

What is 8 + (n-1)(3)?

300

Find the 10th term of the sequence: a_n = 5n-1

What is 49?

400

Evaluate the function: If f(x)=3x - 4, find f(8)

What is 20?

500

Identify the domain of the function: f(x) = 2/x - 5

What is "all real numbers except 5"?

Adding/Subtracting Polynomials

100

When we add polynomials, we are simply just _______.

What is combining like terms?

200

(3x+7)+(5x−2)

What is 8x+5?

300

Add: (9m²+6m+1)+(−4m²+m−3)

What is 5m²+7m−2 

400

(8x+3)−(2x−5)

What is 6x + 8?

500

(12m²+m−8)−(−5m²+3m+1)

What is 17m²−2m−9?

Multiplying/Dividing Polynomials

100

When we multiply polynomials, we _____ the exponents but when we divide polynomials, we ____ the exponents.

What is add/subtract?

200

(x+3)(x+2)

What is x²+5x+6?

300

2x³+5x²-9x+4 ÷ 2x³+5x²-9x+4

What is 1?

400

(a+b)(a−b)

What is a² - b² ?

500

2x³+3x²-5x+6 ÷ x-2

What is 2x²+7x+9+ 24/x-2?

Quadratic Functions

100

If a quadratic function has a negative "a" or leading co-efficient, the parabola opens up in which direction?

What is down?

200

y-intercept of f(x)=x²−6x+5

What is (0,5)?

300

Determine if the function is quadratic:
 a) y=3x−7
 b) y=x²+5x−2
 c) y= √x 

What is b?

400

Axis of symmetry for x²+ 10x + 4

What is x= -5?

500

Vertex of f(x)=(x−4)²+3

What is (4,3)?

Mixed Review

100

What is the common ratio of the geometric sequence:
5,  15,  45,  135,  …

What is 3?

200

Does the relation represent a function?
{(−2,1),(−1,4),(0,7),(1,7),(−2,9)}

What is no?

300

Simplify:
(7x²−3x+5)−(4x²+x−8)

What is 3x²-4x+13?

400

(x−6)(x+4)

What is x²-2x-24?

500

State the axis of symmetry of the quadratic function:
f(x)=−3x²+12x−9

What is x=2?