which of the following numbers represents 74% as a fraction and a decimal? (in simplest form)
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Tues - Bell work – When you finish put the bell work in the box at the back. Show all you work for full credit. You have 4 minutes. Which of the following numbers represents 74% as a fraction and a decimal? (in simplest form) A. 74/100 and 7.4B. 37/50 and 7.4 - PowerPoint PPT PresentationTRANSCRIPT
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Tues - Bell work – When you finish put the bell work in the box at the back. Show all you work for full credit. You have 4 minutes.
1. Which of the following numbers represents 74% as a fraction and a decimal? (in simplest form)
A. 74/100 and 7.4 B. 37/50 and 7.4C. 74/100 and .74 D. 37/50 and .742. How is -4 3/5 written as a percent?
A. -460%B. 4.6%
C. -4.35%D. -46.0%
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Wed - Bell work – When you finish put the bell work in the box at the back. Show all you work for full credit. You have 4 minutes.
1. How is -12/30 written as a decimal?
A. -6/15B. .12
C. -.4D. -.36
2. Put the following numbers in order from least to greatest.
3/20 .35 -1/4 11/25 -.5
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Thurs - Bell work – When you finish put the bell work in the box at the back. Show all you work for full credit. You have 4 minutes.
1. Your bank account is earning 3.2% interest on the money you are saving for college. How is that number written as a fraction?
2. The Cool family’s bill at Arizona Roadhouse Inn was $87.00. How much should the Cools leave as a tip if they want to leave a 22% tip for the great service they received?
A. $1.91B. $17.40
C. $19.14D. $8.70
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Fri - Bell work – When you finish put the bell work in the box at the back. Show all you work for full credit. You have 4 minutes.
1) 15% of 240 is how much?
A. 30B. 34
C. 36D. 402. On Tuesdays, all students get a 5% discount at the mall. If
Sharese spends $68.24 at the game store, how much money will her student discount save her?
A. $3.41B. $64.82
C. $3.24D. $34.21
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"I can translate between equations, word problems,
tables and graphs."
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“I can identify the slope and intercepts of a line from a graph and equation.”
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Slope Intercept Form
y = mx + b
Slope Y Intercept
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When you have a real world (word problem) that requires you to write an equation in slope intercept form, there are two things that you want to look for:
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Example 1: R & T Pizza has a sale on all their pizzas for $10. Extra toppings are $1.50 extra. Write an equation in slope intercept form that describes this situation.
Step 1: Slope intercept form: y = mx + b
Step 2:b = $10 (amount is constant)
m = $1.50 (this amount will change depending on the amount of toppings you buy.)
Step 3: y = mx + by = $1.50x + 10
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Example 2: Jon walks 4 miles per day. Next week he wants to walk an extra 2 miles per day. Write an equation in slope intercept form that describes this situation.
Step 1: Slope intercept form: y = mx + b
Step 2:b = 4 (amount is constant)
m = 2 (this amount will change depending on the amount of miles he actually walks.)
Step 3: y = mx + by = 2x + 4
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You do: You are in Tucson, AZ and a taxi company charges $5 for just using the taxi services and an additional $0.75 per mile. Write an equation that you could use to find the cost of a taxi ride in Tucson, AZ.
b = $5 (amount is constant)
m = $0.75 (this amount will change depending on the amount of miles.)
y = mx + by = $0.75x + $5
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You do: A plumber charges a fee of $75 to make a house call. They also charge $30 per hour for labor. Write an equation that you could use to find the amount a plumber charges for making a house call based on the number of hours of labor.
b = $75 (amount is constant)
m = $30 (this amount will change depending on the amount of hours it takes them.)
y = mx + by = $30x + $75
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Assignment
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Slope of a line measures the steepness of the line.
Key concepts
Rise means how many units you move up or down from point to point. On the graph that would be a change in the y values.
Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.
changechange
runriseslope
in y
in x
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rise
run
Positive slope so both numbers (rise and run)
are positive.
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Negative slope so the number associated with the
rise is negative.
rise
run
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slope = 0
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slope = undefined
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Slope Formula Given Two PointsGiven two points and
Note that we use the letter m to represent slope.
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Example 1: Find the slope of the straight line that passes through (-5, 2) and (4, -7).
Plug in x and y values into slope formula
Simplify The slope of the line is -1.
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Find the slope of the straight line that passes through (1, 1) and (5, 1).
The slope of the line is 0.
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Find the slope of the straight line that passes through (3, 4) and (3, 6).
The slope of the line is undefined.
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Find the slope of the linePractice
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Assignment
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x-intercept is where the graph crosses the x axis. To find the x-intercept (linear equation) find the value of x when y = 0. The x-coordinate of this point is always 0.
y-intercept is where the graph crosses the y axis. To find the y-intercept, find the value of y when x = 0. The y-coordinate of this point is always 0.
Key concepts
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To find the y-intercept, find the point on the graph, where x = 0 and find y.
To find the x-intercept, find the point on the graph, where y = 0 and find x.
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For the following slides identify the y-intercept and
the x-intercept.
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Slope Intercept Form
y = mx + b
Slope Y Intercept
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Identify the slope and y-intercept of the line with the given equation.
y = 3x + 4
Slope y-intercept
y = 1/3x + 7
3x + y = 4
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What is the slope and y-intercept of the graphed line? Also, write the equation in slope intercept form – y = mx + b
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Write the linear equation
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What are the different types of displays used to represent linear equations?
How do you translate between the different displays?
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Assignment
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The equation below is written in the slope intercept form
y = mx + b y = 2x + 1
2x – 2y = 8
Writing equations in slope intercept form ( y = mx + b )
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However,2x – 2y = 8 is not written in the correct form.
2x – 2y = 8 Isolate y-2x -2x -2y = -2x + 8 Divide both sides by -2 ÷2 ÷ -2
Writing equations in slope intercept form ( y = mx + b )
y = -x + 4
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2x + 3y = 9
You do: Write the following equation in slope intercept
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Write down the following equations. Then write them in slope intercept form. When you are finished hand them in. Make sure your name is on the paper. 1) 4x – 2 = y 2) – 4x + y = – 8 3) 3x + y = –5 4) y = 7 5) 5x + 2y = –6
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What is the slope intercept form?
How can you identify the parts of an equation from a graph?