Graphing
Graph the following two equations and find the interception point
y=x+4
y=-x+4
(0,4)
Solve for x and y using substitution
y=x+2
y=-2x+5
(1,3)
Solve for x and y using elimination
x+y=10
2x+y=12
(2,8)
One chocolate and one vanilla ice cream costs 10 dollars. Two chocolate and one vanilla ice cream costs 15 dollars. What does each of them cost?
both cost 5.
Graph the following two equations and find the interception point
y=2x+1
y=x+5
(4,9)
Solve for x and y using substitution
y=3x-2
y=2x-1
(1,1)
Solve for x and y using elimination
2x+3y=15
2x+2y=10
(0,5)
Three times the son's age minus the father's age equals 4. Twice the father's age plus the son's age equals 62. What are the father's and son's ages?
son is 10, father is 26.
Graph the following two equations and find the interception point
y=3x+3
y=x+5
(1,6)
Solve for x and y using substitution
2y=4x-6
2x+2y=0
(1,-1)
Solve for x and y using elimination
2x+3y=12
x+y=5
(3,2)
You have 400 dollars, made up of 20 and 5 dollar bills. There are 35 bills total. How many 20 and 5 dollar bills are there?
15 20s and 20 5s
Graph the following two equations and find the interception point
2y=2x+4
y=x+2
They are the same line
Solve for x and y using substitution
2x+3y=7
-3x-y=-7
(1,1)
Solve for x and y using elimination
4x-y=12
2x+2y=16
(4,4)
There are twenty total students, all either male or female. If there are 4 less male students than three times the female students, how many male and how many female students are there?
14 male and 6 female.
Graph the following two equations and find the interception point
3y=3x+3
2y=-4x-2
(-4/6,1)
Solve for x and y using substitution
y+x=0
3x-6y=18
(2,-2)
Solve for x and y using elimination
5x-y=11
2x+3y=20
x=3
y=4
A theater production charges $21 for adult tickets and $15 for student tickets. If the production sold 102 tickets for its opening night and made $1,932 in ticket sales, how many of each type of tickets were sold?
67 adult and 35 student