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Identifying Solutions
Solving by Graphing
Solving by Substitution
Solving By Elimination
Word Problems
100
Solution to a System of Equations
What is Point of Intersection?
100
The point of intersection
What is where two lines meet or intersect?
100
Solve by substitution. y= 12-3x and y=2x-3
(3,3)
100
Solve the following system by elimination x+3y=-7 and -x+2y=-8
(2,-3)
100
Solve using elimination: Brianna’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tickets and 2 youth tickets. What is the price of a youth ticket? Write the equations as well.
2x+3y=134 and 3x+2y=146; $22 for a youth ticket.
200
Is the following ordered pair a solution to the given equations? (7,8) 7x+3y=24 3x+5y=14
What is "no"?
200
Find the solution for the following equations. y=x-1 y=2x+2
What is (-3, -4)?
200
Solve the following equations by substitution. 3x-2y=-3 AND y=7-4x
(1,3)
200
Solve the Following system by elimination. x+3y=-4 and 2x-4y=32
(8,-4)
200
Mr. Malone is putting money in two savings accounts. Account A started with $200 and Account B started with $300. Mr. Malone deposits $15 in Account A and $10 in Account B each month. In how many months will the accounts have the same balance? What will that balance be?
In 20 months the balance would be $500 in each account.
300
Is the following ordered pair a solution to the equations? 15x+18y=48 25x-9y=41 (2,1)
What is "yes"?
300
What is the solution to the following equations? Draw a graph. y= -5/3x+3 y= 1/3x-3
What is (3,-2)?
300
Solve the equations using substitution 4y-2x=-2 and x=-3y-4
(-1,-1)
300
Solve the systems of equation using elimination. -10x+y=0 and 5x+3y=-7
(-0.2,-2)
300
Solve by Substitution. Kate bought 3 used CDs and 1 used DVD at the bookstore. Her friend Joel bought 2 used CDs and 2 used DVDs at the same store. If Kate spent $20 and Joel spent $22, determine the cost of a used CD and a used DVD.
A used CD costs $4.50 A used DVD costs $6.50
400
Is the ordered pair a solution to the system? (1,3) 2x - 3y = -7 -5x + 3y = 4
What is "yes"?
400
y=2x-4 y=2x+1
What is "No Solution" or "Parallel"?
400
Find the solution of the equations by substitution. 3y+6x=9 and y=-2x-3
no solution
400
Solve using elimination (although another way might be easier) x+16.5=-0.75y and y=0.5x
(-12,-6)
400
Solve using whichever method you want. A car dealership has 378 cars on its lot. The ratio of new cars to used cars is 5:4. Write and solve a system of equations to find the number of new and used cars on the lot.
new cars - 190 used cars - 188
500
Does the following have a solution? Why or why not? 8x-10y=14 -20x+25y=-35
What is infinitely many solutions or same line?
500
If one equation is y=2x-8 and the solution is (3, -2). Write another equation that could be in the system.
What is....?
500
-13=2y-3x and y=-2/3x
(3,-2)
500
Solve the system of equations using elimination. 2x+y+z=17 0.5z=5 x-y=5
x=4, y=-1. and z=10 If you got this question correct give yourself 1000 points.
500
Solve using whichever method you want. The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system of equations to find the number. (Hint: One equation involves the digits in the number. The other equation involves the values of the digits.)
The number is 14. The system is x+y=5 and 3(10x +y)=42. x=1 and y=4