Systems of Equations
This is the method where you solve one equation for one variable and then substitute that expression into the other equation to solve for the remaining variable.
What is substitution?
What is the slope of this line?
y= 3/4x -7
What is 3/4?
What is the 16th term of this equation?
3, 9, 15, 21, 27, …
93
The following table shows the number of hours studied and the corresponding test scores of a group of students. What type of relationship (positive, negative, or none) does the scatterplot likely show?
Hours Test score:
1 50
2 60
3 70
4 80
5 90
What is a positive relationship?
This method involves adding or subtracting the equations in a system to eliminate one variable, allowing you to solve for the other.
What is elimination?
In the slope-intercept form of a linear equation, y = mx + b, what does the "m" represent?
What is the slope?
What is the 28th term of this sequence?
18,21,24,27,30....
99
This table shows the number of hours spent on social media and the number of steps taken in a day for a group of individuals. What kind of correlation does the scatterplot likely show?
Hours on Socials Steps Taken
1 12000
2 10000
3 8000
4 6000
5 4000
What is a negative correlation?
Solve the system of equations using elimination: 8x+3y=1and 6x+4y=6.
What is (-1,3)?
If the slope of a line is 0, the line is horizontal. What type of line has an undefined slope?
What is a vertical line?
What is the 27th term of this sequence?
1,4,7,10,13...
79
Given the following table, what would you predict the test score to be if 6 hours are studied?
Hours Studied Test Score
1 80
2 70
3 90
4 60
5 75
What is there is no correlation?
Solve this using the substitution method.
-4x+7y=-41
x=y+5
What is (-2,-7)?
In slope intercept form, what does "b" represent on the graph?
What is the y-intercept?
What is the 13th number in this sequence?
-7,-3, 1, 5, 9...
41
This table shows the number of hours a car is driven and the amount of fuel consumed. If the scatterplot shows a nearly straight line with a positive slope, what does this suggest?
Hours Driven Fuel Used
1 2
2 4
3 6
4 8
What is a linear relationship with a constant rate of fuel consumption?
Solve the system of equations using elimination: −4x−4y=0 and x+3y=20.
What is (-10,10)
A line passes through the points (2, 3) and (4, 7). What is the slope of this line? simplest form
What is 2?
What is the 42th number of the sequence?-6, -10, -14, -18, -22...
-170
If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solve for x and y?
x+y=90
y=4x+6