Algebra 2, Spring Final Review

Unit 4

100

Solve the system by setting equal:

y=2x+1

y=4-x

(1,3)

200

Solve the inequality.

26+x > 5(3x-6)

4 > x

OR

x < 4

300

Solve the system by substitution:

y=3x-2

2x+y=10

(2.4,5.2)

400

Solve the system by graphing:

y= 2^x +3

y= 7 - 2x

(1,5)

500

Solve the system by elimination:

2x+3y=4

5x-3y=10

(2,0)

Unit 5/6

100

if f(x)=3x and g(x)=2x+9

What is f(g(5))?

57

200

if f(x)=2x and g(x)=5-x

What is g(f(x))?

5-2x

300

Find the Inverse of y=sqrt(2x-9).

(y^2+9)/2

400

Solve log(100)=x.

2

500

simplify log(x)+log(3)-log(5).

log(3x/5)

Unit 7

100

Given a right triangle where the Hypotenuse is 12 and given angle is 63 degrees, find the Adjacent side.

(hint: draw it out)

5.45

200

Given a right triangle where the Hypotenuse is 8 and opposite is 7, find the corresponding angle.

(hint: draw it out)

61 degrees

300

State the coterminal and reference angle for 167 degrees.

(hint: draw it out)

reference: 13 degrees

coterminal: -193

400

Calculate the following:

cos(60)           &           tan(pi/3)

cos(60) = 1/2

tan(pi/3) = sqrt(3)

500

Convert the following:

3pi/4             &             48 degrees

135 degrees

4pi/15

Unit 8

100

What is the degree of the polynomial?

y = 2x^3 - 5x^2 + 7x - 9

3

200

Draw a sketch of the following polynomial.

y=x^2(x-3)(x+7)^3

check sketches

300

Write the equation for a polynomial with a triple root at 2, and single roots at -1 and 5 which passes though the point (0,4).

y=1/10(x-2)^3(x+1)(x-5)

400

are the roots of y=2x^2+5x+4 real or imaginary?

Imaginary

500

Find the roots of y= -x^2-4x-5.

-2 +/- i

Miscellaneous

100

When is your Final?

May 19th or 20th

200

Where do should you turn in your notable mathematician project?

Google classroom

300

How many years has Alec been at SPCPA?

3

400

When is our last day of school?

5/29

500

What club has Alec been hosting afterschool this year?

Fiber arts!