Fall Common Assessment

Factoring Polynomials

100

Find the zeros.

x²-2x-35=0

x=-5, 7

200

Solve.

x²+3x-4=0

x=-4, 1

300

Factor.

-x²+6x-10=0

x=3+i, 3-i

400

What is the quadratic formula?

x= -b+-√(b²-4ac)/2a

500

***NO CALCULATOR***

Find the zeros.

x²-2x-3=0

x=-1, 3

Imaginary Numbers

100

What does i =?

√-1

200

Simplify

(4-2i) - (3+6i)

1-8i

300

Simplify

(2i)(3i)

-6

400

*** NO CALCULATOR***

Simplify.

(3 + 2i) + (4-5i)

7-3i

500

***NO CALCULATOR***

Simplify

(-2+7i)(4-2i)

6+32i

Translating Functions

100

Describe the translation

f(x)=|x+3|-5

Left 3

Down 5

200

What is the vertex of the function?

f(x)= 4(x-4)²-8

(4,-8)

300

What would the graph of the function look like?

f(x)=-|x-1|+5

On front board.

400

Describe the translations.

f(x)=-(x+6)-8

Left 6

Down 8

Reflection over the x-axis

500

What is the equation of the quadratic function?

Horizontal shift left 3

Vertical shift up 1

f(x)=(x+3)²+1

Solving Systems

100

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

x= -4 and 1

200

Solve

x+y+z=2

x+5y+5z=-10

x+2y+3z=-3

(5,-1,-2)

300

y=x²+x−1  

y=-2x²+3x-3

No solution

400

What are the solutions?

y-3=(x-1)2
2x+y=5

x=-1 and 1

500

Write a 3x3 system

• the sum of the three numbers is 7.

• the sum of the first number, 2 times the second number, and 4 times the third number is -6.

• the sum of the first number, double the second number, and triple the third number is 9.

x+y+z=7

x+2y+4z=-6

x+2y+3z=9

Miscellaneous

100

Simplify completely

√32

4√2

200

Find the inverse.

f(x)=(x-2)/6

f^-1(x)=6x+2

300

Find the inverse.

f(x)=(8x-3)/5

f^-1(x)=(5x+3)/8

400

Solve.

|1-9x|=80

x=-79/9, 9

500

What value completes the square?

x²-18x+_

81