Review Week 1-5

Algebraic Expressions

100

Simplify the algebraic expression: 3x+2(3x-2)+10

9x+6

200

Simplify the algebraic expression: 

3x(2x+5)+10x-6+5x²

11x²+25x-6

300

Simplify the algebraic expression:

4x(y+3x)-3xy+5x²+10-6x

17x²-6x+xy+10

400

Simplify the algebraic expression:

x(2x+3)+2x²+3x-10+2x

4x²+8x-10

500

Simplify the algebraic expression:

2x(4x-2)-x(3x+1)+x-4+2x²

7x²-4x-4

Quadratic Equations

100

Solve for x:

x²+14x+49=0

x=-7

200

Solve for x:

3x²-9x-20=x²+5x+16

x=-2,9

300

Solve for x:

2x²-3x-20=x²+34

x=-6,9

400

Solve for x:

x²-5x=-4

x=1,4

500

Solve for x:

(x-3)²=25

x=-2,8

System of Equations

100

Solve for x and y:

x+2y=2

x-2y=6

x=4

y=-1

200

Solve for x and y:

3x+2y=4

2x+y=1

x=-2

y=5

300

Solve for x and y:

6x-5y=15

x=y+3

x=0, y=-3

400

Solve for x and y:

5x-4y=9

x-2y=-3

x=5, y=4

500

Round to 3 decimal places

Solve for x and y:

2x-7y=-17

3x+5y=17

x=1.097, y=2.742

Domain of Functions

100

Domain of the function:

f(x) =(x-3)²

(-inf, inf)

200

Domain of the function:

f(x)=squareRoot(x+3)

[-3, inf)

300

Domain of the function:

f(x)=squareRoot(16-2x)

(-inf, 8]

400

Domain of the function:

f(x) = x/(x-7)

(-inf, 7)U(7, inf)

500

Domain of the function:

f(x) = squareRoot(-2x)

(-inf, 0]

Composition of Functions

100

find f(g(x)):

f(x)=2x+10

g(x)=x²

2x²+10

200

find f(g(x)):

f(x)=x²+10

g(x)=2x-5

4x²-20x+35

300

Write answer as a fraction

find g(f(2)):

g(x)=9+4x

f(x)=(x+21)/5

137/5 

400

find h(g(0))

h(x)=(1/3)^x

g(x)=(x+4)/(x-2)

9

500

Write answer as a fraction

find f(g(2))

f(x)=3.2^x

g(x)=2x-7

3/8