Algebra Semester 2 Final

Linear Functions

100

 What is the domain of this function: 

 (0, 1) (2, 3) (-1, 3) (4, 5)  

0,2,-1,4

200

Which relation is not a function? 

1. (7,3) (7,6) (7, 9) (7, 12) (7, 15) 

2. (-4, 6) (0, 6) (7, 6) (4, 6 ) (-7, 6) 

3. (4, 1) (8, 2) (12, 3) (16, 4) (20, 4) 

4. (1, 3)  (3, 5) (5, 7) (7, 9) (9, 1) 

1

300

For f(x)=4x+10, what is the value of f(-2)?

the answer is 2

400

f(x)=4x+10, what is the value of x, if f(x)=30?    

 5

500

Image 1

Answer 

f(x)=-2x+3

Polynomials

100

What is the degree and term name of the polynomial -3x²+2x-9

1. Linear Polynomial 

2. Cubic Trinomial 

3. Quadratic Trinomial 

4. Quadratic Polynomial 

Quadractic Trinomial 

200

Find the SUM of the polynomials

(n-7n²-6)+(4+n²+6n)

-6n²+7n-2

300

Find the DIFFERENCE of the polynomials 

(p²-5p+1)-(8p²+3+p)

-7p²-6p-2

400

Find the PRODUCT of the polynomials 

(6x-2)(x-7)

6x²-44x+14

500

Factor the GREATEST COMMON FACTOR from the polynomial

36x⁴-45x³+18x²

9x²

OR 

9x²(4x²-5x+2)

Quadratic Functions

100

What is the Axis of Symmetry of the function 

f(x)=-3x²+18x-20?

x=-3

200

What is the vertex of the function 

f(x)=-2(x+3)²-4?

(-3,-4)

300

What is the vertex of the function

f(x)=-3x²+18x-20? 

(3,7)

400

What list of transformations describe 

g(x)=1/2(x-4)²+3 ?

(four transformations)

Facing upwards 

Wide 

Vertex shifted right 4

Up 3

500

 If a ball is thrown at an initial velocity of 32 ft/sec and from a height of 6 feet, What would be the function that would represent the ball's trajectory?

h(t)=-16t²+32t+6

Statistics

100

Find the mean of the data set 

4,2,12,34

13

200

Find the median of the data set 

4,2,12,34

300

Image 2

Answer:  

Younger than 30

400

Image 3 

55 percent

500

Image 4

29

Solving Quadratic Functions

100

 If we solve a quadratic function by graphing, where would you find the solution(s)? 

x intercepts

200

Find the solutions to the quadratic                          

(x-6)(x-3)=0

x=3,6

300

Simplify to remove the perfect square factors.            

square root of 90

3 square root of 10

400

Simplify the square root of 75 so that there are no perfect square factors

5 square root 3

500

Solve for M 

2m²+10=210

positive or negative 10