Find Solution from Graphing
Write System of Equations/Inequalities
Perpendicular/Parallel
Finding Slope
Number of Solutions
100
Are (0,20) and (20,0) the solution of the graph? Why?
Yes, because they are on the line.
100
I spent $50 at grocery store. Cupcake cost $3 each, water bottle cost $2 each. Write the equation to represent the problem, c is the number of cupcakes and b represent the number of water bottles.
3c + 2b =50
100
Are they parallel or perpendicular?
y = 2x +5
y = 2x -10
Parallel Lines
100
What is the slope of y = 3x +2 ?
m = 3
100
How many solution does this system has? Why?
y = 4x + 10 and x + y = 10
One solution because the slopes are different.
200
Can (8,5) be the solution of the graph? Why?
No because it is not on the line.
200
The knitting clubs sold 50 scarves and hats at a winter festival and made $800 from the sales. They charges $18 for each scarf and $14 for each hat. Write the equations represents the problem, s is the number of scarves and h represents the number of hats sold.
s+h=50
18s+14h=800
200
Are they parallel or perpendicular lines?
y = 2x + 5
y= -1/2x-10
Perpendicular Lines
200
What is the slope of y - 10 = 2(x+5) ?
m = 2
200
How many solution does this system have? Why?
y= 3x + 10 vs y = 3x + 5
NO Solution because they have same slope but different y-intercept.
300
True or False : In 1 hour, Josh drove 40 miles.
True because from 160-120 , it went down 40 miles.
300
The band is raising money for their trip to Orlando, Florida. Each student needs to raise at least $250. They are selling candles, which earn $7 each, and poinsettias, which earn $15 each. Let x represent the number of candles sold and y represent the number of poinsettias sold.
Write the inequalities to represent the problem.
7x + 15y >=250
300
Are they parallel, perpendicular or neither?
y=1/2x + 5 y=-1/2x + 5
Neither ( m = 1/2 or m= -1/2 are not the same. )
300
What is the slope of 3x + 5y = 10?
m = -3/5
300
How many solutions does this system have?
y = 3x + 10 and -2x + 6y = 60
Many solutions because they have same y-intercept.
400
How many miles did Josh drive after 3 hours?
120 miles
400
Eli has two jobs, babysitting and library. They paid him $10 per hours for babysitting and $8 per hour for working at library. He works up to 25 hours a week and wants to make more than $180.
Write the inequalities to represent the problem where x is the number of hours for babysitting and y is the number of hours working in library.
x + y <= 25
10x + 8y >180
400
Are they parallel, perpendicular or neither?
-2x + 5y = 10
y = 2/5x + 10
Parallel because they have the same slope.
400
What is the slope of 4x - 2y =8?
m = -4/-2 which is m=2
400
How many solutions does this system have ? Why?
y = 4x - 10 vs 4x - y = 10
Many solutions , slope = 4 and y-int = -10 for both.
500
How many adult tickets did the theater sell with 120 children tickets?
10 adult tickets.
500
Name 2 possible solutions in this graph
Answer will be vary
500
Are they parallel, perpendicular or neither?
2x + 4y =10
-4x + 2y = 5
Perpendicular because the first slope is -2/4 which -1/2 and second slope is 4/2 which is 2. They are opposite and reciprocal.
500
Given 2 coordinates points ( 4, 8) and (2,4). Find the slope ?
m = y1-y2/x1-x2
8-4 = 4
4-2= 2
Slope is 4/2 = 2
500
How many solutions does this system have ? Why?
3x + 5y = 10 and -3x - 5y = 15
No Solution, both slope = -3/5 and y-int = 2 and -3 .