What kind of system of equations does the graph display below?
No Solution
What method would you use to solve this system of equations algebraically?
2x + y = 1
y = 2x + 1
Substitution
What's the constant of proportionality for this graph? (Make sure to include UNITS!)
37.5m/g
This graph is an example of what kind of system of equations?
One Solution
What is the y coordinate for the point of intersection displayed on the graph?
-4
What is the equation of the line in slope-intercept form?
y = -3/2x + 3
Solve for r.
r = -1
What is the equation of the line in the graph below in slope-intercept form?
Solve the system of equations.
x - y = 3
7x - y = -3
(-1, -4)
Justin’s pay is represented by this line graph.
Molly’s pay is represented by the equation y = 9x. Who makes more money and by how much?
A. Justin earns $2 more per hour than Molly.
B. Justin earns $3 more per hour than Molly.
C. Molly earns $2 more per hour than Justin.
D. Molly earns $1 more per hour than Justin.
Justin makes $7/hour
C. Molly earns $2 more per hour than Justin.
Solve the system of equations.
4x+5y=9
3x-3y=0
(1, 1)
Here is information about the cost of carpet at two stores.
Carpet Store A is represented by the graph.
Carpet Store B sells 100 square yards of carpet for $1750.
What is the cost, per square yard, of the carpet at the store with the lesser cost?
Carpet Store A: $15.sq. yd.
Solve for p.
p = 1
What is the solution to this system of equations?
8x - 6y = -20
-16x + 7y = 30
(-1, 2)
Solve for v.
v = -1
What is the solution to this system of equations?
4x-2y=14
10x+7y=-25
Yomaira and Kevin play a game in which they earn the same number of points for each goal and lose the same number of points for each penalty.
• Yolanda makes 6 goals and 3 penalties, ending the game with 6 points.
• Neel earns 8 goals and 9 penalties, and ends the game with -22 points.
Write a system of equations that describes Yolanda's and Neel's outcomes.
**Remember**
- Define your variables first
- Then setup your equations based off the problem
- Lastly, solve for the solution
x=points for each goal
y=points for each penalty
6x+3y=6
8x+9y=-22
Solution: (4, -6)
Each goal earns 4 points. Each penalty loses 6 points.
What is the solution to the system of equations below?
7x + 8/7y = 4
3x - 5/7y = 27
(4, -21)
Jamia babysits for two different families. One family pays her $6 each hour and a bonus of $20 at the end of the night. The other family pays her $5 per hour and a bonus of $30 at the end of the night.
**Remember**
- Define your variables first
- Then setup your equations based off the problem
- Lastly, solve for the solution
x = # of hours babysitting
y = total amount of money paid after babysitting
6x + 20 = y
4x + 30 = y
(5, 50)
Solve the systems of equations below.
4x - 3/4y = 9
7x + 2/4y= -6
(0, -12)