Ms. Azim’s Review Extravaganza Theory Substitution Elimination DVT Percent/ Mixture Geometry/...
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Transcript of Ms. Azim’s Review Extravaganza Theory Substitution Elimination DVT Percent/ Mixture Geometry/...
![Page 1: Ms. Azim’s Review Extravaganza Theory Substitution Elimination DVT Percent/ Mixture Geometry/ Money Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q.](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f275503460f94c3fab1/html5/thumbnails/1.jpg)
Ms. Azim’s Review Extravaganza
Theory SubstitutionElimination
DVT Percent/Mixture
Geometry/Money
Q $100
Q $200
Q $300
Q $400
Q $500
Q $100 Q $100Q $100 Q $100
Q $200 Q $200 Q $200 Q $200
Q $300 Q $300 Q $300 Q $300
Q $400 Q $400 Q $400 Q $400
Q $500 Q $500 Q $500 Q $500
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$100 Question from Theory
The solution to a system of linear equations is also known as…
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$100 Answer from Theory
The Point of Intersection (P.O.I)
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$200 Question from Theory
How many solutions can a system of linear equations have?
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$200 Answer from Theory
One, Two or None
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$300 Question from Theory
Two lines that have the same slope but different y-intercepts have ______ solutions.
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$300 Answer from Theory
No solutions because they are parallel
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$400 Question from Theory
Two lines with different slopes regardless of the y-intercept will have _______ solution(s)
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$400 Answer from Theory
Different slopes=one solution or P.O.I
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$500 Question from Theory
Yasmin solved a system of linear equations algebraically and found that 0x=5. What does this statement mean?
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$500 Answer from Theory
The are no values of x that will result in a 0x=5, therefore this statement is untrue and the two lines are parallel to each other (there are no solutions or P.O.I)
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$100 Question from Substitution and Elimination
Solve the following system of equations using substitution:(1)y = 3x - 2(2)y = x + 2
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$100 Answer from Substitution and Elimination
The solution is (2, 4), or x = 2 and y = 4.
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$200 Question from Substitution and Elimination
Solve the following linear system using substitution:(1)2y = x + 5(2) x - 4y = 0
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$200 Answer from Substitution and Elimination
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$300 Question from Substitution and Elimination
Solve the following system using a method of your choosing:
(1) 17x+23y=35 (2) 26x-23y=-121
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$300 Answer from Substitution and Elimination
The solution or Point of intersection (POI) is (-2,3)
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$400 Question from Substitution and Elimination
Solve using elimination:(1)5x+y=13(2)3x=15-3y
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$400 Answer from Substitution and Elimination
The solution to the system is (2, 3)
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$500 Question from Substitution and Elimination
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$500 Answer from Substitution and Elimination
The solution is x=6 and y=8 or (6, 8)
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$100 Question from DVT
What is speed equal to in the DVT triangle?
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$100 Answer from DVT
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$200 Question from DVT
-Naima drove at a speed of 50 km/h from Ancaster to Ottawa. -From Ottawa to Kingston, she drove at a speed of 80 km/h. -If t1 is the time it took to travel from Ancaster to Ottawa, express the distance travelled in this trip in relation to the time and speed
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$200 Answer from DVT
d1=(50)(t1)
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$300 Question from DVT
Ali drove 500 km from Ottawa to Toronto in 5.5 h. He drove part of the way at 100 km/h, and the rest of the way at 80 km/h. If x is the distance travelled at 100 km/h and y is the distance travelled at 80 km/h, set up a table to help solve for the unknowns in this question. DO NOT SOLVE.
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$300 Answer from DVT
Your Text Here
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$400 Question from DVT
Use the table provided below to solve for t1 and t2
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$400 Answer from DVT
t1= 3 ht2= 5 h
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$500 Question from DVT
A boat took 2 h to travel 24 km down a river with the current and 3 h to make the return trip against the current. Find the speed of the boat in still water and the speed of the current. (Use a table)
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$500 Answer from DVT
Your Text Here
Trip Distance(d)
Speed(v)
Time(t)
With current 24 km x+y 2h
Against current
24 kmx-y 3h
x=10 km/hy=2 km/h
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$100 Question from Percent/Mixture
Convert 75% into a decimal
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$100 Answer from Percent/Mixture
75%=0.75
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$200 Question from Percent/Mixture
A chemistry teacher needs to make 20 L of a 42% sulphuric acid solution. The acid solutions available are 30% sulphuric acid and 50% sulphuric acid, by volume.
If x represents the volume of 30 % sulphuric acid and y represents the volume of 50% sulphuric acid what is x+y equal to?
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$200 Answer from Percent/Mixture
x+y=20
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$300 Question from Percent/Mixture
One type of juice is 30% sugar, and another type is 15% sugar. A specific volume of each type of juice needs to be mixed to make 600 mL of juice that is 21% sugar. Create two equations to model this system. DO NOT SOLVE.
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$300 Answer from Percent/Mixture
• Let x represent volume of first type of juice (30% sugar)
• Let y represent volume of second type of juice (15% sugar)
(1)x+y=600(2)0.3x+0.15y=(600)(0.21)0.3x+0.15y=126
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$400 Question from Percent/Mixture
$6000 is divided between two accounts, one paying 3% interest and the other 4% interest. At the end of one interest period, the interest earned by the 4% account exceeds the interest earned by the 3% account by $65. Model equations to help you solve for the amount invested in each account.
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$400 Answer from Percent/Mixture
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$500 Question from Percent/Mixture
Premium gasoline sells for 78.9₵/L. Regular gas sells for 71.9₵/L. To boost sales, a middle octane gasoline is formed by mixing premium and regular. If 1000L of this middle octane gas is produced, and is sold at 73.9 ₵/L, then how much of each type of gasoline can you assume was used in the mixture. Model the system of equations but do not solve!
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$500 Answer from Percent/Mixture
Let x represent volume of premium gasLet y represent volume of regular gas
(1)x+y=1000 (2)78.9x+71.9y=(73.9)(1000)
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$100 Question from Geometry/Money
Calvin has $8.80 in pennies and nickels. If there are twice as many nickels as pennies, write an equation to express the number of nickels in relation to the number of pennies
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$100 Answer from Geometry/Money
Let n represent the number of nickelsLet p represent the number of pennies
n=2p
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$200 Question from Geometry/Money
Solve for x
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$200 Answer from Geometry/Money
x=63 degrees
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$300 Question from Geometry/Money
Solve for x and y
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$300 Answer from Geometry/Money
x= 34° y=10°
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$400 Question from Geometry/Money
Mansoor is a cashier at a grocery store. He has a total of 76 bills worth $580. These bills consist of $5 bills and $ 10 bills. How many of each type does he have?
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$400 Answer from Geometry/Money
There are 36 ($5 bills) and 40 ($10 bills)
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$500 Question from Geometry/Money
Solve for x and y if you know that x is twice as big as y
x
y
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$500 Answer from Geometry/Money
x=60° y=30°