Methods & Solutions
Graphing
Elimination and Word Problems
Any Method
Equations
100
Is there one solution, no solutions, or infinitely many solutions for the system of linear equations below?
What is one solution of (-4, -6).
100
When graphing a system of equations, the solution lies at the point of ______________?
"intersection"
100
The solution of the following system of equations using elimination.
3x-6y=3
4x+6y=32
What is (5, 2)
100
How many solutions does the following system have?
-4x + 2y = 10
-4x +2y = 8
No solution
100
3m - 1 = m + 5
What is m = 3.
200
Is the ordered pair (- 2, 8) a solution of
8x + 2y = 0
x - 2y = -18? Show work
YES
200
What is the solution of this systems of equations?
(2,2)
200
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.
Set up the system for this problem.
What is
3s + 1c =38
3s + 2c= 52
200
4x - 3y = 18
y = -2
What is the solution?
(3, -2)
200
(h - 9)/5 = -10
What is h = -41.
300
In what method would you replace a variable with a number?
Substitution
300
The solution of the following system of equations:
y=-3
y=6x+3
What is (-1, -3)
300
The solution of the following system of equations using elimination:
-5x - 5y = -15
x + 8y = -4
What is (4, -1).
300
y= -1/2x - 1
y = 1/4x - 4
What is the solution?
What is (4, -3).
300
4n- 40=7(-2n+2)
How many solutions does this have-one, none, or infinite? What is the answer?
one solution (n =3)
400
When 0=0, what is the solution to the system or the equation? Why?
0 always equals zero so infinite solutions or all real numbers because anything will work.
400
What does a system of linear equations with infinitely many solutions look like when graphed?
What is one line?
400
Mrs. Wilson tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth 3 points and word problems are worth 4 points.
Set up the system for this scenario.
What is
m + w = 38
3m + 4w = 100
400
10x - 9y = 46
-4x + 6y = 20
What is (19, 16).
400
How many solutions does this have? one, none, or infinite
What does it mean?
4(-8m+5)= -30m - 2(m - 10)
What is infinite solutions and both lines are the same.
500
Is the ordered pair (-1,2) a solution of x-y=-3 and 2x+y=3? Show work.
No because it does not work in the second equation.
500
What is the solution to this system of equations?
NO SOLUTION
500
Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. On a given night, 321 tickets were sold for $937.50. How many of each kind of ticket were sold?
What are 135 adult tickets and 186 student tickets.
500
The solution of the following system of equations:
-3x + 5y= -2
2x - 2y = 8
(9, 5)
500
If infinite solutions is the answer, what goes in the blank?
-2x - 4(3x + 4)= 8(-2x - 2) + _____
What is 2x.