System of Equations
Functions
Multistep Equations
Variables on Both Sides Equations
Linear Function
100
Determine whether the system has one solution, no solution, or infinitely many solutions
-x+y=1
x-y=1
No Solution
100
Determine which relation is a function:
Option A:
Option B:
What is B?
100
-2 = -7m + 6m
What is 2
100
-2k+22=4(8k-3)
What is k = 1
100
What is the y intercept or the Initial Value?
70
200
Determine whether the system has one solution, no solution, or infinitely many solutions
2x-2y=4
-x+y=-2
Infinitely Many Solutions
200
(-1, 3), (0, 2), (1, 1), (2, 0), (0, 3)
Does this set of ordered pairs represent a function?
No, it's not a function!
200
93= -3(6x+4)-3
What is x is -6
200
2+x=1+6(7x+7)
What is x=-1
200
A street musician starts his day with $12 in his pocket. He earns $10 per hour playing his guitar. Write a linear function that can be used to find how much he earns y after playing for x hours.
y=10x+12
300
Solve the system of linear equations by graphing
y=-x+4
y=2x-8
(4,0)
300
y=2/x+7
Does this equation represent a linear or non-linear equation? Explain
non-linear because...
300
-168=-7(-5+3x)-8x
What is x = 7
300
5(7n+8)+5n=4+4n
What is n=-1
300
Which linear function has the greater rate of change? What is the rate of change for each panda?
The table has a greater rate of change. Mochi has a rate of change of 4 lbs/week. Kappa has a rate of change of 3 lbs/week.
400
Solve the system of linear equations by graphing
4x-4y=3
y=-5
(0,-5)
400
What numbers can we put into the blank that will result in the relation NOT being a function?
(2, 5) (___, 6) (6, 8) (5, 3)
2, 6, or 5
400
-4(5x-8)= -108
What is a=7
400
4r+39=5(5-2r)
What is r=-1
400
A line has a slope of 3 and goes through the point (0,6). What is the linear equation that represents this line?
The linear equation is y = 3x +6
500
Solve the system of linear equations by graphing
3y+4x=3
x+3y=-6
(3,-3)
500
g(x)=3x-1 solve _________ g(1)+g(2)
g(1)+g(2)=7
500
In science class, Noah needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other two experiments required the same number of test tubes. How many test tubes did each of the other two experiments require? Write an equation AND solve.
2+2x=8
What is 3
500
Solve for x:
-3x+2c=-3
What is x=(-3-2c)/-3
OR x=(3+2c)/3
500
Write a linear equation to describe the table.
Interpret the slope and the y-intercept
y = 3x + 2
$3 per game
$2 to start