200
51
200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Story Problems Evaluate the Expression/ Simplify Factor/ Scientific Notation Exponents What is x?
description
Story Problems. Evaluate the Expression/ Simplify. Factor/ Scientific Notation. Exponents. What is x?. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. - PowerPoint PPT Presentation
Transcript of 200
200
300
400
500
100
200
300
400
500
100
200
300
400
500
100
200
300
400
500
100
200
300
400
500
100
Story Problems
Evaluate theExpression/
Simplify
Factor/ScientificNotation
Exponents What is x?
Renting a rug shampooer costs $5.25 per hour plus $4.25 for the shampoo. Find the cost of shampooing a rug if the time
required is 3.5 hours.
3.5 5.25 4.25
18.375 4.25
$22.63
Cost
Cost
Cost
The area of the Pacific Ocean is about . This represents 32% of Earth’s area. What is the approximate area of Earth?
2155,557,000 km
2
155,557,000 0.32
155,557,000 0.320.32 0.32
486,115,625
a
a
a km
The enrollment at a university increased from 14,000
students to 16,000 students over a period of 5 years. What
is the percent increase in enrollment?
16000 1400014000
200014000.142857
14.3%
amount ofi ncrease or decreasePercent increase or decrease
original amount
Suppose the average attendance at a local high
school’s football game went down from 2000 people in
2003 to 1700 people in 2004. What was the percent
decrease in attendance at the football games?
2000 17002000
3002000.15
15%
amount ofi ncrease or decreasePercent increase or decrease
original amount
The number of physicians in the United States has been rising at
the rate of about 17,000 per year since 1980, when there
were about 467,700 physicians. Predict how many physicians there will be in the year 2010.
467,700 17,000 2010 1980
467,700 17,000 30
467,700 510,000
977,700
P
P
P
P physicians
Determine whether the following are rational or
irrational:
. 0.3333
. 3
.
2.
25
A
B
C
D
. 0.3333
. 3
.
2.
25
A rational
B irrational
C irrational
D rational
when x = 15 and y = -10
2x y
Evaluate:
2
15 2 10
15 2 10
15 20
35
x y
Simplify:
2 9 8 2 12 5 2
=2 9 8 2 12 5 2
2 1 2 7 2
2 2 14
2 16
32
Simplify:
3x – 5 2y – 4x
3x – 5 2y – 4x
3 10 20
23 10
x y x
x y
when x =3 and y =2
4x 7 – 2y6y · 3x 18
Evaluate:
4x 7 – 2y6y · 3x 18
4 3 7 2 2
6 2 3 3 18
12 7 412 9 18159016
Factor:
4 8 16x y
4 2 4x y
4 8 16x y
Factor:
xy xz xw
xy xz xw
x y z w
Factor:
3 6 3x y
3 6 3x y
3 2 1x y
Multiply and write your answer in scientific notation:
3 22.5 10 6.3 10
3 2
3 2
6
2.5 10 6.3 10
15.75 10
1,575,000
1.575 10
Divide and write your answer in scientific notation:
7
8
3.2 108.0 10
7
8
7 8
15
16
3.2 108.0 10
.4 10
.4 10
.0000000000000004
4 10
32 23x y
Simplify:
32 2
3 23 23
6 6
6
6
3x y
3
27
27
x y
x y
xy
Simplify:
52
3
xy
52
3
2 5
3 5
10
15
10 15
1
xy
xy
xy
x y
22 36a b c
Simplify:
22 36a b c
2 2 2 3 2 2
4 6 2
4
6 2
6 a b
136
36
c
a b c
ab c
14 5
2 10
1418
a ba b
Simplify:
14 5
2 10
1418
a ba b
14 2 5 10
16 5
16 5
79
79
79
a b
a b
a b
x xx b x b b bm n mn
Simplify:
2 2
2 2
2 2
x xx b x b b b
x x b x x b bx bx
x bx x bx bx bx
x bx bx x bx bx
x x
m n mn
m n m n
m n m n
m n
m n
3x 11 26
Solve for x:
3x 11 26
-11 -11
3 153 3
5
x
x
Solve for x:
227
3x
3 2 327
2 3 2
812
x
x
7 7y y
7 7y y
manysolutions
Solve for x:
5 17 2 6 1x x x x
5 17 2 6 1
3 17 5 1
16 22 28
x x x x
x x
x
x
3 5 13 2 52 3 6 3 6x x x
Solve for x:
3 5 13 2 52 3 6 3 6
3 5 13 2 52 3 6 3 6
2 53 62 23 3
32
x x x
x
x
x
