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

$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 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

$200 Answer from DVT

d1=(50)(t1)

$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

$400 Question from DVT

Use the table provided below to solve for t1 and t2

$400 Answer from DVT

t1= 3 ht2= 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

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

$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 gasLet 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 nickelsLet 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°