Skillstoknow:& …drgundal.weebly.com/uploads/1/3/7/2/13727409/algebra_study_guid… ·...
Transcript of Skillstoknow:& …drgundal.weebly.com/uploads/1/3/7/2/13727409/algebra_study_guid… ·...
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Skills to know:
Write a system of equa5ons from a word problem. Solve a system of equa5ons using subs5tu5on. Solve a system of equa5ons using elimina5on.
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Slide 3
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Slide 4
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Solve the system of equa5ons: Slide 5
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Solve the system of equa5ons: Slide 6
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Slide 7
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Slide 8
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Slide 9
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Slide 10
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Understand Systems of Inequali4es
Skills to know: Write a system of inequali5es from a word problem. Interpret graph of system of inequali5es (focus on the meaning of the doIed/solid line)
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Slide 12
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Slide 13
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a. Is the point (3,4) a solu5on to this system of inequali5es?
b. Is the point (-‐2,-‐2) a solu5on to this system of inequali5es?
c. Is the point (0,-‐2) a solu5on to this system of inequali5es?
Slide 14
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When y is -‐1, what values of x make this system of inequali5es true?
Slide 15
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Skills to know Meaning of slope and y-‐intercept from a table Graph a linear inequality Interpret slope from a word problem and equa5on in slope-‐intercept form Graph in standard form
Linear equa5ons and inequali5es
Slope-‐intercept form:
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Find and explain the meaning of the
Slope –
Y-‐intercept -‐
Slide 17
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Find and explain the meaning of the
Slope –
Y-‐intercept -‐
Slide 18
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Your grandmother started a bank account for you when you were first born and con5nued. to add to it every month. The following equa5on can be used to determine the amount of money in your account at any given month.
y = 12.5m + 100
What is the slope and what does it mean in this situa5on?
What is the y-‐intercept and what does it mean in this situa5on?
Slide 19
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Graph this line in standard form:
3x + 4y = 12
Slide 20
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Graph this inequality:
y < -‐2x +5
Slide 21
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Skills to know: Write func5ons from a word problem. Add or subtract them.
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Slide 23
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Slide 24
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Skills to know: How to write recursive rules How to write explicit rule of sequences
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Explicit rules:
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Write an explicit rule and a recursive rule for this arithme5c sequence:
14, 11, 8, 5, …
Slide 28
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Write an explicit rule and a recursive rule for the cost of placing an order for n large pizzas.
Slide 29
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Skills to know: Frac5onal exponents
Exponents
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D
E
Slide 32
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Skills to know: Interpolate answers from a graph and a given equa5on Interpret the real-‐world rela5onship between x and y on a scaIerplot Correla5on coefficient Residuals
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The graph shows the distance you travel over a 6-‐hour period. The equa5on, y = 55x + 15 was wriIen for the line of best fit. At what distance would you be acer driving 20 hours?
Slide 34
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You are researching the prices of liquid crystal display (LCD) televisions. The scaIer plot shows the sizes and prices of several LCD televisions. The equa5on d = 25x – 400 models the line of best fit that you drew. Based on the informa5on given, what can you predict a 45-‐inch televisionwould cost?
Slide 35
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What is the rela5onship between the score on the Regents test and the number of hours studied?
Slide 36
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Slide 40
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Slide 41
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About where would the scaIer plot be on the correla5on line below? Es5mate the correla5on coefficient.
Slide 45
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About where would the scaIer plot be on the correla5on line below? Es5mate the correla5on coefficient.
Slide 46
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About where would the scaIer plot be on the correla5on line below? Es5mate the correla5on coefficient.
Slide 47
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About where would the scaIer plot be on the correla5on line below? Es5mate the correla5on coefficient.
Slide 48
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About where would the scaIer plot be on the correla5on line below? Es5mate the correla5on coefficient.
Slide 49
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About where would the scaIer plot be on the correla5on line below? Es5mate the correla5on coefficient.
Slide 50
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Answer to slide 3
(-‐1,-‐6)
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Answer to slide 4
(-‐5,-‐1)
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Answer to slide 5
No solu5on
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Answer to slide 6
Same line Infinitely many solu5ons
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Answer to slide 7
R = 34x
34x = 4x + 180 x = 6 Selling 6 bracelets will be the break-‐even point
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Answer to slide 8
Let x = pens and y = pencils
x + y = 21 y + 3 = x
12 pens, 9 pencils
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Answer to slide 9
20 scented 8 unscented
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Answer to slide 10
$6
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Answer to slide 12 a. b = pounds of blueberries s = pounds of strawberries
b.
€
4b + 3s ≤ 21b + s ≥ 3
c. d. yes
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Answer to slide 13
€
12w +10c ≥110w + c ≤ 20
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Answer to slide 14
a. Yes b. No c. No
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Answer to slide 15
x > -‐3
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Answer to slide 17
Slope = $1 for every 2 5ckets
Y-‐intercept = 0 You don’t have to pay any money if you aren’t buying any 5ckets
€
12
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Answer to slide 18
Slope = 58 miles per hour
Y-‐intercept = 0 You started at the beginning, you haven’t gone any distance when you started the clock.
€
581
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Answer to slide 19
Slope = 12.5 Your grandmother deposits $12.50 into your account every month
Y-‐intercept = 100 Your grandmother ini5ally deposited $100 to start the account.
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Answer to slide 20
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Answer to slide 21
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Answer to slide 23 7. r(x) = 18x
8. c(x) = 30,000 + 4.5x
9. 13.5x – 30,000
10. $3000 loss
11. $172,500 profit
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Answer to slide 24
Listeners: L(d) = d
Furniture store: f(d) = 5000 + d
Theater: g(d) = 2d
L(d) + f(d) + g(d) = 5000 + 4d
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Answer to slide 28
Explicit Rule: 14 – (n – 1)3
Recursive Rule: f(1) = 14 f(n) = f(n-‐1) -‐ 3
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Answer to slide 29
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Answer to slide 32 A. 216
B. 32
C. 8
D. .
E. .
€
m4( )3
€
12
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Answer to slide 34
1115 miles
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Answer to slide 35
$725 (use the equa5on, not the graph)
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Answer to slide 36
There is a posi5ve rela5onship between the score on the Regents test and the number of hours you study. As the number of hours studying increases, the score on the test increases.
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Answer to slide 40
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Answer to slide 41
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Answer to slide 45
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Answer to slide 46
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Answer to slide 47
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Answer to slide 48
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Answer to slide 49
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Answer to slide 50