dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. if tax was...

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Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax: $50 • 0.07 = $3.50 Final Cost = Price + Tax $50 + $3.50 = $53.50

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Page 1: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay?

Price: $20 + $30 = $50 Tax: $50 • 0.07 = $3.50 Final Cost = Price + Tax

$50 + $3.50 = $53.50

Page 2: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

Due Friday, January 11th Remember the problem:

1. Marcella gave half her bagels and two more to:

a. The needyb. Some surfersc. Her friend Susan.

2. She had two left when she got home.3. How many bagels did she buy?

Page 3: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

GRE 201: Identify the location of a point with a positive coordinate on the number lineGRE 301: Locate points on the number line and in the first quadrantGRE 401: Locate points in the coordinate planeGRE 402: Comprehend the concept of length on the number line*

Page 4: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

x-axisy-a

xis

Origin

Quadrant IQuadrant II

Quadrant IIIQuadrant IV

Page 5: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

0 1 2 3-1-2-3

-2-1

-3

123

Each number refers to the line, NOT the

space in between the lines.

Every number represents the same number of spaces in

the x and y-axes.

Page 6: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

0 1 2 3-1-2-3

-2-1

-3

123

NO!!! Each number in both the x and y-axes must equal the

same number of spaces.

Page 7: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

0 1 2 3-1-2-3

-2-1

-3

1

23

No, each number is attached to the line,

not the space in between the line!

Page 8: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

0 1 2-1-2

-2

-1

1

2 Yes!!! Each number is

evenly spaced on both the x and y-axes.

Page 9: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

0 1 2 3-1-2-3

-2-1

-3

123

No, the space between 0 and 1 is

not the same as between 1 and 2.

Page 10: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

Coordinate points are also called ordered pairs.

They tell the location of the point on a coordinate plane.

They are written (x, y), where the ‘x’ coordinate represents the location along the x-axis and the ‘y’ coordinate represents the location along the y-axis.

Page 11: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

0 1 2 3-1-2-3

-2-1

-3

123To locate a point, you

begin counting at the origin.

.A

You move along the x-axis first. In this

case, we moved two places to the right, or

+2.

Next, move along the y-axis. In this case, we moved three places up,

or +3.

The location of point A is therefore (2, 3)!

Page 12: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

0 1 2 3-1-2-3

-2-1

-3

123

.

(-2, 4)(x, y)

We find -2 on the x-axis first.

Next, we move up 4

spaces on the y-axis.

Here I am!

Page 13: Dennis paid $20 for a tub of breath mints and $30 for a year’s supply of chap stick. If tax was 7%, how much did Dennis pay? Price: $20 + $30 = $50 Tax:

0 1 2 3-1-2-3

-2-1

-3

123

A

I

H

G

FE

D

C

B

J

K

A: (3, 1)B: (-2, 2)C: (1, -2)D: (4, 5)E: (-4, -2)F: (4, -3)G: (-5, 4)H: (0, -4)I: (4, 0)J: (-5, 0)K: (-5, -5)