Systems of Equations!
Graphs!
Equations of Lines!
Slopes!
Misc.
100
Write two equations to represent the following situation:
Maria has a total of 100 sodas and Cheetos to sell. Soda's cost $3 and Cheetos cost $4. Maria needs to earn $130.
x=number of sodas
y= number of cheetos
x+y=100 OR 1x+1y=100
3x+4y=130
100
Graph all the solutions to
y=3
100
What is the slope intercept form (equation) of a line?
y=mx+b
100
What is true about the slopes of parallel lines?
They are the same
100
What is the equation of a circle with center (1,4) and radius 6?
(x-1)2+(y-4)2=36
200
Name two methods of solving a system of equations
Possible answers:
Graphing, Substitution, Elimination
200
Consider y=x. Does this graph show
a. one of the solutions
b. some of the solutions
c. all of the solutions
d. none of the solutions
C. All of the solutions
200
What is the slope of a line perpendicular to
y=3/2x+9
-2/3
200
What is true about the slopes of perpendicular lines?
They are opposite reciprocals
200
What is the center and radius of a circle with this equations:
(x-3)2+(y-4)2=9
Center: (3,4)
Radius=3
300
Solve the following system of equations:
x+y=20
2x+3y=55
x=5
y=15
300
Consider y=x. Does this graph show
a. one of the solutions
b. some of the solutions
c. all of the solutions
d. none of the solutions
B. some of the solutions
300
What is the equation of a line the has slope 2 and passes through (1,3)?
y=2x+1
300
What is the opposite reciprocal of
2/3
-3/2
300
What is the midpoint of (4,5) and (10,15)?
(7, 10)
400
What is the first step to solving the following system of equations by the elimination method?
x+y=15
2x+5y=12
x+y=15
2x+5y=12
Possible Answers:
If eliminating x, multiply top equation by -2.
If eliminating y, multiply top equation by -5.
400
Graph all solutions to y=-1
400
What is the slope of the line
5x+7y=12
-5/7
400
What is the slope of the line
3x+2y=14
-3/2
400
What is the distance between (1,3) and (-2,5)?
sqrt(13)
500
Solve the following system of equations:
x+y=10
3x+6y=51
x=3
y=7
500
Find the slope of a line that is perpendicular to
2x+5y=10
5/2
500
What is the equation of a line with slope 1/2 and passes through (4,4)?
y=1/2x+2
500
Find the slope of the line containing (20,5) and (3,16)
-11/17
500
Is AB perpendicular to BC? How do you know?
Yes.
The slope of AB is
-2/3 and the slope of BC is 3/2. These are opposite reciprocals.