Pre Q

Question 1

Commutative property

Answer 1

ab=ba, a+b=b+a

Question 2

Associative property

Answer 2

(a+b)+c=a+(b+c)

Question 3

Distributive property

Answer 3

a(b+c)=ab+ac

Question 4

Scientific notation

Answer 4

1.2(10^3) = 1200
1.2(10^-3)= .0012

Question 5

Exponents

Answer 5

y^0 = 1
(3sqrt(3) = 3^1/3

Question 6

Distance measurement

Answer 6

√(y-y)^2+(x-x)^2

Question 7

Equations of Circles

Answer 7

x^2+y^2=r^2

Question 8

Midpoints

Answer 8

(x+x/2, y+y/2)

Question 9

Absolute value in = and >

Answer 9

= is neg. in other part
> is flip and neg. and
< is just put neg. on other side

Question 10

General form

Answer 10

all on one side and C is neg(sometimes)

Question 11

Standard form

Answer 11

Just c on other side

Question 12

Word prblms on slope

Answer 12

while x intercept is 0
y intercept

Question 13

Vertical and horizontal lines

Answer 13

can’t divide by 0 (vertical) x=
other is horizontal y=

Question 14

Difference in squares

Answer 14

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

Question 15

Sums and differences of cubes

Answer 15

x^3+y^3 =
(x+y)(x^2-xy+y^2)
OR
x^3-y^3 =
(x-y)(x^2+xy+y^2)

Question 16

Factor/Solve graphically

Answer 16

intercept, find when y=0

Question 17

Squaring roots

Answer 17

Put +/- always

Question 18

Quadratic formula

Answer 18

-b +/- √b^2 - 4(a)(c) / 2a

Question 19

Complete the Square

Answer 19

(b/2)^2
Add to both sides by the same variable
when a is not 1, take it out after c is on other side

Question 20

Complex numbers

Answer 20

2 + 0i = real and complex
0 + 7i = imaginary and complex
10 - 20i = complex

Question 21

Dividing complex numbers

Answer 21

multiply by denominator’s conjugate

Question 22

Quadratic inequalities

Answer 22

Outside infinity if x>0
In between if x<0

Question 23

Velocity equation for height

Answer 23

h(t) = -16t^2+Vt+S
v= initial v
s= initial h

Question 24

x^3

Answer 24

if x^3 > 0, then left 2 and 1 right
if x^3 < 0, then left 1 and right 2

Question 25

If same number in factoring comes up as answer…

Answer 25

it is neg inf to pos. inf