Unit 9 Quiz 2 Review

Simplifying Radicals

100

Simplify the following radical.

sqrt 121

11

200

Simplify the following radical.

sqrt 80

4sqrt5

300

Simplify the following radical.

sqrt(49/25)

7/5

400

Simplify the following radical.

sqrt(27/225)

(sqrt3)/5

500

Simplify the following radical.

sqrt(-90a^2b^4c^-1)

(3ab^2 isqrt(10))/c^(1/2)

600

Simplify the following radical.

3sqrt(-32x^7)

12x^(7/2)isqrt2

Solving by Roots

100

Solve the following equation.

x² - 8 = 41

x=+-7

200

Solve the following equation.

-4x^2 +7=-25

x=+-2sqrt2

300

Solve the following equation.

(x-5)^2 =49

x=12,-2

400

Solve the following equation.

-3(x-6)^2 +120=-30

x=6+-5sqrt2

500

Solve the following equation.

-2(3x-4)^2+5=-11

x=(4+-2sqrt2)/3

600

***Not a roots question - just needed to find a spot for this one 

Solve the following equation.

1/(2x+3) =(x+4)/3

x=-1,-9/2

Solving by Graphing/Factoring

100

Solve the following quadratic by the graphing method.

f(x)=2(x+3)^2-8

x=-5,-1

200

Solve the following equation by factoring.

x^2 +5x-14=0

x=-7,2

300

Solve the following quadratic by the graphing method.

f(x)=-x^2-8x-12

x=-6, -2

400

Solve the following equation by factoring.

3x^2 =6x

x=2,0

500

Solve the following equation by factoring.

5x^2+3x=8

x=-8/5,1

600

Solve the following equation by factoring.

3x^2=-16x-16

x=-4,-4/3

Solving by C-T-S

100

Find the missing value if you were to complete the square.

x^2+8x+?

16

200

Find the missing value of k

-2(x^2-2x+1)-14-k

k=-2

300

Solve by completing the square.

x^2 -6x+7=0

x=3+-sqrt2

400

Solve by completing the square.

x^2-10x+58=0

x=5+-isqrt33

500

Solve by completing the square.

-x^2 -8x=20

x=-4+-2i

600

Solve by completing the square.

3x^2+2x-4=0

x=(-1+-sqrt(13))/3

Quadratic Formula

100

State the quadratic formula

x=(-b+-sqrt(b^2-4ac))/(2a)

200

State the discriminant of the following quadratic equation.

f(x)=10x^2-2x-13

d=524

300

How many solutions will the following quadratic equation have? What type will they be?

-x^2 -2x-1

1 real

400

Given a function f(x) with a discriminant of 0, and an a-value of 4, which of the following is a possible y-intercept? 

a) (0,0)

b) (0,4)

c) (4,0)

d) (0,-4)

e) (0,5)

A, B, & E.

500

Solve using the quadratic formula. 

x^2 +7x=14

x=(-7+-sqrt105)/2

600

Solve the following quadratic equation using he quadratic formula.

7x^2 -2x=-12

x=(1+-isqrt82)/7

Solving Any Method

100

Solve the following equation.

16x^2=64x

x=0,4

200

Solve the following equation.

x^2 +22x+120=0

x=-12,-10

300

Solve the following equation.

3(x+4)^2+12=-24

x=-4+-2isqrt3

400

Solve the following quadratic.

12x^2+15x=-3

x=-1,-1/4

500

Solve the following equation.

x^2 +x+1=0

x=(-1+-isqrt3)/2

600

Solve the following equation.

x(x+4)=6(x-4)

x=1+-isqrt23

Imaginary Number System

100

Simplify the following expression.

i^13

i

200

Simplify the following expression.

i^118

-1

300

Simplify the following expression.

(i-5)(i+1)

-6-4i

400

Simplify the following expression.

i^14+i^7-4i^2

3-i

500

Simplify the following expression.

-3+sqrt(-32)+5sqrt(-18)

-3+19isqrt2

600

Simplify the following expression.

sqrt(i^50)/ i^24 *5i^5 

-5

Miscellaneous

100

State the formula for the discriminant.

b^2-4ac

200

the imaginary number is defined to be ...

sqrt(-1)

300

State the zero factor theorem.

If ab and be are real integers, and a times b equals zero, then either a=0, b=0, or both a and b =0

400

When finding the discriminant, what combination of number and type of solutions is not possible?

1 imaginary(complex) solution

500

Find the sum of the solutions to the following quadratic equation.

-8x^2 +10x+1=4

Sum = 5/4

600

Find the solution(s) of the following equation.

(x+11)(14+x)=304

x=-30,5