Equations in One Variable
3g + 5 = 17
g = 4
Write the following in slope intercept form y=mx + b
slope= 5
y-intercept = 6
y = 5x + 6
f(x)= 2x + 1
f(3)
f(x) = 7
Identify the slope and y intercept
y = 5x + 3
Slope= 5 or 5/1
y intercept= 3
Find the rate of change:
X: 2 4 6 8 10
Y: 6 12 18 24 30
6/2= 3/1= 3
x/2 + 7 = 9
x = 4
Write the following in slope intercept form y=mx + b
slope= -2/3
y-intercept = -4
y = -2/3x - 4
Ms. B wrote the function f(x)= -2x on the board. What is the value of this function for f(5)?
Identify the slope and y intercept
y = 1/3x - 4
Slope= 1/3
y intercept= -4
Find the rate of change from these points:
(4, 7) (7, 14) (10, 21)
Hint: create a table
7/3
1/4(k - 3) = 10
k = 43
Find the x and y intercepts
3x + 6y = 24
x = 6
y = 4
Solve the function table
x 3x -1 y
1
2
3
4
x 3x -1 y
1 3(1)-1 2
2 3(2)-1 5
3 3(3)-1 8
4 3(4)-1 11
Find the slope between these two points:
(2 , 3) and (4, 6)
3/2
If Linda sells chips for y = $4x and Jose sells chips at the rate shown below
x: 1 2 3 4
y: 4 8 12 16
Who sells more?
Neither; they sell chips at the same rate
1 + 4x = 5x - 17
x = 18
Solve the system of equations
y= x + 36
y= 10x
(4, 40)
x= 4
y= 10(4) = 40
Solve the function table
x -x + 3 y
1
2
3
4
x -x + 3 y
1 -1 + 3 2
2 -2 + 3 1
3 -3 + 3 0
4 -4 +3 -1
Find the slope between these two points
(-3, -5) and (0, 3)
8/3
Determine if this statement is true:
The rate of change is the same as the slope of an equation.
True!
j = 6
Jerry starts with $15 in his savings. He plans to save $3 each day from his chore earnings. The equation for the amount of money he will save is y= 3x +15. What does the y intercept represent?
$15 represents the amount he started with in his savings.
Is the point (0, -2) and solution to this function?
y = 4x - 2
yes; 4(0) -2 = -2
(0, -2) is a solution.
Identify the slope in the following equation:
35 - 90x= y
slope= -90 or -90/1
Which of the following has a greater rate of change:
I. y = 7x + 1
II. y = -2x + 3
III. x: 3 5 7 9
y: 2 3 4 5
I. has the greater slope