Overview
Solving Systems: Graphing
Solving Systems: Substitution
Random
Real Life Applications
100
What shape will every linear equation create when graphed ?
Straight Line
100
When should you use the graphing method to solve a system of linear equations?
when questions are written in slope-intercept form ...
aka when the equations are easy to graph.
100
When should you use the substitution method to solve a system of linear equations?
when you already know the value of one variable ( ex: y=6)
100
What is the square root of 81?
9
100
Your family is buying tickets for an amusement park. Child tickets are $20 each, and adult tickets are $50. Your family buys a total of 10 tickets and spends $320. How many of each ticket you purchase?
4 adult tickets and 6 child tickets
200
At least how many equations will be in a system of linear equations?
At least 2 equations will be in a system of linear equations.
200
What is the solution to the system of linear equations?
(0,2)
200
What is the solution (x,y) to the system of linear equations?
5x+2=y
x=2
(2,12)
200
Turn this equation from standard form to slope-intercept form: 6x+2y=24
y=12-3x or y=-3x+12
200
You have a total of 42 math and science problems for homework. You have 10 more math problems than science problems. How many problems do you have in each subject?
26 math problems
16 science problems
300
The ___________________ to a system of linear equations is the ____________ where the equations have values for x and y that make both equations true.
solution, point
300
What is the solution to the system of linear equations?
(-1,4)
300
What is the solution to the system?
y=7x-10
y=-3
(1,-3)
300
State the slope and y-intercept: -5x+2.5y=10
m:2
y-intercept: 4
300
You are planning a party and buy a total of 50 hamburgers and hotdogs for $90. You pay $2 per hamburger and $1.50 per hotdog. How many of each did you buy?
30 hamburgers and 20 hotdogs
400
How many solutions can a system of linear equations have?
0, 1 or all
400
What is the solution to the system of linear equations?
(2,9)
400
What is the solution to the system?
2x+5y=19
y=3x-3
(2, 3)
400
Identify the slope and y-intrcept
y=-4x + 10
slope: -4
y-intercept: 10
400
A hospital employs a total of 77 nurses and doctors. The ratio of nurses to doctors is 9:2. How many nurses and doctors are employed at the hospital?
63 nurses 14 doctors
500
Fill in the blanks:
The solution will be the point
( , ) where the two lines
________________
(x,y), intersect
500
What is the solution to the system of linear equations?
No solutions
500
What is the solution to the system?
5x-6y=-3
y=3x+7
(-3,-2)
500
Turn this fraction into a percentage: 3/4
75%
500
The measure of the obtuse angle in an isosceles triangle is 2.5 times the measure of one of the acute angles. Write and solve a system of linear equations to solve for the measure of each angle in the isosceles triangle.
40,40,100