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 $300 Q $400 Q $500

$100 Question from Theory The solution to a system of linear equations is also known as…

$100 Answer from Theory The Point of Intersection (P.O.I)

$200 Question from Theory How many solutions can a system of linear equations have?

$200 Answer from Theory One, Two or None

$300 Question from Theory Two lines that have the same slope but different y- intercepts have ______ solutions.

$300 Answer from Theory No solutions because they are parallel

$400 Question from Theory Two lines with different slopes regardless of the y-intercept will have _______ solution(s)

$400 Answer from Theory Different slopes=one solution or P.O.I

$500 Question from Theory Yasmin solved a system of linear equations algebraically and found that 0x=5. What does this statement mean?

$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)

$100 Question from Substitution and Elimination Solve the following system of equations using substitution: (1)y = 3x ­- 2 (2)y = x + 2

$100 Answer from Substitution and Elimination The solution is (2, 4), or x = 2 and y = 4.

$200 Question from Substitution and Elimination Solve the following linear system using substitution: (1)2y = x + 5 (2) x ­- 4y = 0

$200 Answer from Substitution and Elimination

$300 Question from Substitution and Elimination Solve the following system using a method of your choosing: (1) 17x+23y=35 (2) 26x-23y=-121

$300 Answer from Substitution and Elimination The solution or Point of intersection (POI) is (-2,3)

$400 Question from Substitution and Elimination Solve using elimination: (1)5x+y=13 (2)3x=15-3y

$400 Answer from Substitution and Elimination The solution to the system is (2, 3)

$500 Question from Substitution and Elimination

$500 Answer from Substitution and Elimination The solution is x=6 and y=8 or (6, 8)

$100 Question from DVT What is speed equal to in the DVT triangle?

$100 Answer from DVT

$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 t 1 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

$200 Answer from DVT d 1 =(50)(t 1 )

$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.

$300 Answer from DVT Your Text Here TripDistance (d) Speed (v) Time (t) 1x100 km/h 2 y 80 km/h Total500 km5.5 h

$400 Question from DVT Use the table provided below to solve for t 1 and t 2

$400 Answer from DVT t 1 = 3 h t 2 = 5 h

$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)

$500 Answer from DVT Your Text Here TripDistance (d) Speed (v) Time (t) With current 24 km x+y2h Against current 24 km x-y3h x=10 km/h y=2 km/h

$100 Question from Percent/Mixture Convert 75% into a decimal

$100 Answer from Percent/Mixture 75%=0.75

$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?

$200 Answer from Percent/Mixture x+y=20

$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.

$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

$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.

$400 Answer from Percent/Mixture

$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!

$500 Answer from Percent/Mixture Let x represent volume of premium gas Let y represent volume of regular gas (1)x+y=1000 (2)78.9x+71.9y=(73.9)(1000)

$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

$100 Answer from Geometry/Money Let n represent the number of nickels Let p represent the number of pennies n=2p

$200 Question from Geometry/Money Solve for x

$200 Answer from Geometry/Money x=63 degrees

$300 Question from Geometry/Money Solve for x and y

$300 Answer from Geometry/Money x= 34° y=10°

$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?

$400 Answer from Geometry/Money There are 36 ($5 bills) and 40 ($10 bills)

$500 Question from Geometry/Money Solve for x and y if you know that x is twice as big as y x y

$500 Answer from Geometry/Money x=60° y=30°