Chapter 1 Review Problems

(3-6 i) (10+ i )

30 + 3 i -60 i -6 i^2 36- 57 i

(7 i) (-7 i)

49

5x 1 -3 ------------- - ------ = ------ 3x^2 - 5x -2 3x+1 2-x

5 x = - ---- 13

*solve for x* 6x + ay = bx + 5

5-ay x= ------- 6-b

*solve for x* 6= 4x+ tx

6 x= ---- 4+t

(15 + 21 i ) + ( -18 + 40 i )

-3 + 61 i

*solve for d* n S = --- (a+d) 2

25 d= --- - a n

2x (x-3)= 4+x

2x^2 -6x =4 + x 2x^2 -7x -4 =0 1 x= 4, - --- 2

t^2 -6t +10=0

3+and- i

DAY ONE

DAY ONE

4(6 + 2 i ) -5 i (3-7 i)

-11 -7 i

COST/PROFIT: It costs a restaurant owner 18 cents per glass for orange juice, which is sold for 75 cents per glass. How many glasses of orange juice must the restaurant owner sell to make a profit of $2337?

.75 - .18 = .57 (profit) .57x = 2337 x= 4100 glasses

WORK: An electrician can install the electric wires in a house in 14 hours. A second electrician requires 18 hours. How long would it take both electricians, working together, to install the wires?

1 1 1 --- + --- = --- 14 18 x 8 1 --- = --- 63 x 8x=63 x=7.875 hours

(10 -4 i) (10 + 4 i)

100 - 16 i^2 +16 116

AVERAGE: A student has test scores of 62, 70, 75, and 80. What score does the student need on the next test to produce an C (70-79)?

62 + 70 + 75 + 80+ x 5* ----------------------- =70 5 287 + x= 350 x= 63% AND 62 + 70 + 75 +80 +x 5* ---------------------- =79 5 287 + x = 395 x= 108% The student needs to make from a 63-108%.

*solve for y* 7x + 2y =8

7 y= - --- x + 4 2

6+2 i ------ 3- i

8 6 --- + --- i 5 5

INVESTMENT: An investment advisor invested $14,000 in tow accounts. One investment earned 8% annual simple interest, and the other investment earned 6.5% annual simple interest. The amount of interest earned for 1 year was $1024. How much was invested in each account?

8% (x) 6.5% (y) x+y=1400 --> x= 1400y 0.08x + 0.065y =1024 0.08 (1400-y) + 0.065y =1024 1120 - 0.08y + 0.065y = 1024 -0.15y = -96 y= 6400 1400-6400=x x= 7600 8%=$7600 and 6.5%=$6400

AVERAGE: A student has test scores of 80, 82, 94, and 71. What score does the student need on the next test to produce an average score of 85?

80 + 82 + 94 + 71 + x 5* ---------------------- = 85 *5 5 327+ x =425 x=98% The student needs a 98%.

*solve for P* A= P+ Prt

A P= ------ (1+ rt)

DAY FIVE

DAY FIVE

DAY FOUR

DAY FOUR

DAY THREE

DAY THREE

DAY TWO

DAY TWO

c 3 3 ---- = ---- - ---- c-3 c-3 4

NO SOLUTION c=3 (does not work!!)

WORD PROBLEMS- DAY TWO

WORD PROBLEMS- DAY TWO

POWER OF i:

i= 1 i^2= -1 i^3= -i i^4= 1 i^5= i

w+3 1 w-5 ---- + --- = ---- 4w 1 w

w= -23

COST/PROFIT: The price of a magazine subscription rose 4% this year. If the subscription now costs $26, how much did it cost last year?

x + .04x = 26 1.04x = 26 x= $25

1 3 2 -- x -(minus) -- = -- 4 2 1

x=14

2(5x-6)=4[ x-3(x-10)]

x=22/3

y-1 y y+3 --- + --- = --- 5 4 2

y= -54