Algebra 2 Final Review

Find the Value of the Function

100

If

f(x)=-5x+7

 find 

f(-4)

f(-4)=27

200

If

f(x)=x^2-3

 find 

f(3)

f(3)=6

300

If

f(x)=x^2

 find 

f(x-10)

f(x-10)=x^2-20x+100

400

If

g(x)=-2x+12

 find

x

 if 

g(x)=-24

x=18

Vertex and Shape

100

Find the vertex and describe the shape of the following function:

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

Vertex: (3, 7)

U-shaped (parabola/quadratic)

200

Find the vertex and describe the shape of the following function:

f(x)=3|x+1|-4

Vertex: (-1, -4)

V-shaped (Absolute value function)

300

Find the vertex and describe the shape of the following function:

f(x)=sqrt(x-7)

Vertex: (7, 0)

Point on one end, arrow on the other

400

Find the vertex and describe the shape of the following function:

f(x)=x^2-2x

Vertex: (1, -1)

U-shaped (Parabola)

Solve the Equation

100

3x-2(x-4)=-10

x=-18

200

4x-2(4+6x)=5(2x+10)-4

x=-3

300

4x+3-6(x-2)=-3x+7

x=-8

400

4x+5-2(x-3)=-2x-9

x=-5

Simplify each expression

100

8a-6ab+2b if a=4 and b=-3

98

200

3x^2-2x+1 if x=6

97

300

sqrt576+(4-9)^2-50

-1

400

(sqrt100+(15-3^2))/(7-9)

-8

Random (200 and 300 are worth double)

100

Solve the inequality

-2(3-4x)>2(x-6)

x> -1

200

Solve by substitution.

-5x-y=21

y=4x+6

(-3, -6)

300

Solve by elimination.

-3x-8y=20

-5x+y=19

(-4, -1)