Linear Equations #1
Determine the y-intercept in the following equation:
y = 3x - 8
Determine which of the following is not a function:
A. y = 2x
B. y = 9
C. {(-5, 4), (-4, 4), (-3, 4)}
D. {(4, -5), (4, -4), (4, -3)}
D
Graph x > 18 on a number line.
Answer will be shown in class.
Determine if the following implies causation:
The more people study for their Algebra I fall final, the higher their score on the exam.
In the equation y = mx + b, what does b represent?
The y-intercept.
Find the equation of a line that goes through the points (8, 15) and (8, -10).
x = 8
What technique can you use to determine if a graph is a function?
Vertical Line Test
Solve for x:
-(2/3)x < 18
x > -27
In y = kx, what does k represent?
The constant of proportionality.
Find the equation of a line parallel to y = 8, and intersects the point (10, 12).
y = 12
2x - 8y = 12
What is the definition of a function?
A relation where each input has only one output.
3(2x - 8) = 6(x - 4)
Infinitely Many Solutions
This would best be described as:
A. Strong Positive Correlation
B. Strong Negative Correlation
C. Weak Positive Correlation
D. Weak Negative Correlation
A
Convert the following equation into slope-intercept form.
9x - 8y = 25
y = (9/8)x - 25/8
Find the slope of the line that has the points (-11, 15) and (-8, 20)
Find f(-2)
f(-2) = 23
A T-shirt maker wants to open his first store. If he chooses the store on Main Street, he will pay $810 in rent and will charge $35 per T-shirt. If he chooses the store on Broad Street, he will pay $560 in rent and will charge $25 per T-shirt. How many T-shirts would he have to sell in 1 month to make the same profit at either location?
25 t-shirts
Determine the explicit formula for the following sequence:
-8, -6.5, -5, -3.5, ...
a(n) = -8 + 1.5(n-1)
Find the equation of a line perpendicular to y = 2x +5 and goes through the point (0, 8)
y = -(1/2)x + 8
Find the equation of a line -in slope-intercept form that goes through the points (-5, 8) and (5, 16)
y = (4/5)x + 12
Given f(x) = 3x - 5 and g(x) = 8
Find f(4) * g(23)
f(4) * g(23) = 56
(9/5)C + 32 = F is the formula to convert Celsius into Fahrenheit. Using this formula, create a formula which converts Fahrenheit into Celsius
C = 5/9(F - 32)
Determine the explicit formula for the following sequence:
2, 6, 18, 54, ...
g(n) = 2*3^(n-1)
Find the equation of the line parallel to y = 3.2x - 8 and goes through the point (2,9.6)
y = 3.2x + 3.2