Algebra Review

Question 1

Multiplying fractions

Answer 1

multiply across: (a/b)*(c/d)=ac/bd

Question 2

Divding fractions

Answer 2

Flip one and multiply

Question 3

Adding and subtracting fractions

Answer 3

must have the same denominator

Question 4

rule for cancelling in fractions

Answer 4

can cancel ONLY when it has an unbroken chain of multiplication

Question 5

(powers) x⁰=?

Answer 5

1

Question 6

(powers) x^-a=?

Answer 6

1/x^a

Question 7

(powers) when multiplying powers:

Answer 7

add powers: x²*x³=x⁵

Question 8

(powers) when dividing powers:

Answer 8

Subtract powers: x⁵/x³=x²

Question 9

(x^a)^b=?

Answer 9

x^ab

Question 10

(roots) sqrt(0)=?

Answer 10

0

Question 11

(roots) sqrt(1)=?

Answer 11

1

Question 12

quadratic formula:

Answer 12

Question 13

(logs) log_c1=?

Answer 13

0

Question 14

(logs) log_cc=?

Answer 14

1

Question 15

(logs) log_c(ab)=?

Answer 15

log_ca + log_cb

Question 16

(logs) log_c(a/b)=?

Answer 16

log_ca - log_cb

Question 17

(logs) log_ca^b=?

Answer 17

b log_ca

Question 18

(logs) log_ab=?

Answer 18

(log_cb)/(log_ca)

Question 19

(logs) log_aa^b=?

Answer 19

b

Question 20

(logs) a^log_ab=?

Answer 20

b

Question 21

ln(1)=?

Answer 21

1

Question 22

ln e =?

Answer 22

1

Question 23

Point slope formula

Answer 23

m(x-x₁)=y-y₁

Question 24

slope intercept

Answer 24

y=mx+b

Question 25

When you can cancel out a domain issue its a (), when you can't cancel out its an ()

Answer 25

whole asymptote