What is the formula for rate of change (or slope) of a linear function?
change in the y values divided by change in the x values
100
What is the formula for slope intercept form?
f(x) = y = mx + b
100
Evaluate f(5) for the function below f(x) = 3x - 2
f(5) = 13
100
Solve for x:
3x - 2 = 7
x = 3
100
What is the slope of a horizontal line?
0
200
Determine the slope of Graph 1?
3/2
200
What is the slope and y-intercept of the linear function
g(x) = (-3/5)x - 7
Slope = -3/5
y-int. = - 7
200
Determine if the following relation is a function. Show your work using a table to list the order pairs. {(9, 0), (3, 0), (2, 2), (-3, -4)} Explain your reasoning
Yes the x-values do not repeat OR the domain is unique Or no input has 2 or more outputs
200
Solve for a: 4a - 1 + 5a = 35
a = 4
200
Determine the solution set for x:
-4x + 14 < 42
x > 9
300
What is the rate of change of the lin. function shown in table 1
-1.5 or -3/2
300
Determine the equation of the line shown in graph 3.
y = (-3/4)x + 7
300
Create a mapping chart for the ordered pairs {(0, 4), (-7, 5), (8, 3), (-7, 2)} Then, determine the domain and range of this relation
Domain- {-7,0,8} Range- {2,3,4,5}
300
Solve for b:
6b - 7 = 11b + 23
b = - 5
300
If f(x)= x^2 - 3x + 5, find the value of f(3)
f(3) = 5
400
In Graph 2, Which line (a, b, or c) has a greater rate of change? Explain...
Line a b/c it is the steepest. Line a =2, Line b = 1, Line = 1/2
400
Write the linear function for table 3 in slope-intercept form?
y = 2x + 5
400
What is the name of a function that has two or more rules?
Piecewise function
400
There are 15 mystery bags and 10 ounces of weight one side of a balance beam. There are 6 mystery bags and 109 ounces of weight on another side of a balance beam. If the balance beam is perfectly even. How much weight (in ounces) is in each mystery bag?
11
400
Find the slope of (2,300) and (6,200)
m = -25
500
Table 2 shows the average diameter of a
pupil in a person’s eye as he or she grows older.
What is the average rate of change, in millimeters
per year, of a person’s pupil diameter from age 20
to age 80?
1) 2.4
2) 0.04
3) −2.4
4) −0.04
500
What is an equation of the line that passes through
the point (4, 6) and has a slope of -3?
1) y = - 3x + 6
2) y = - 3x - 6
3) y = - 3x + 10
4) y = - 3x + 14
500
Removing which ordered would make this relation a function {(-9,2), (4,5), (3,5), (7, 2), (-9,5) 1) (4,5) 2) (7, 2) 3) (3,5) 4) (-9,2). Explain your answer...
(-9,2) because the the input -9 will no longer have two outputs
500
A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicycle cost 5 times as much as the helmet?
Bicycle =200
Helmet = 40
500
Tell whether the set of ordered pairs satisfies a linear function. Explain... (2,4), (5,3) (8,2), (11,1)
Yes, constant change in 3 for x. Constant change of -1 in y