Inequalities
Solve: x + 5 > 12
X>7
If f(x) = 2x + 3, find f(4).
11
What is the slope-intercept form of a line?
Y=mx+b
In y = mx + b, what does m represent?
The slope
A table has x-values 1, 2, 3 and y-values 5, 8, 11. What is the slope?
3
Solve: 32-4≤11
X ≤ 5
If g(x) = -3x + 6, find g(-3).
15
Find the slope between (2, 3) and (6, 11).
2
What does the slope of a regression line tell you?
How much the predicted y-value changes when x increases by 1.
Using the table with x-values 1, 2, 3 and y-values 5, 8, 11, what is the equation?
Y=3x+2
-2<x+4≤6
-6 < x ≤2
Interval: (-6, 2]
If f(x) = 5x - 2, find x if f(x) = 18.
X=4
A line has a slope of 3 and passes through (2, 5). What is the equation of the line?
Y=3x-1
A regression line is y = 4.5x + 12. What does 4.5 mean?
For every 1-unit increase in x, the predicted y-value increases by 4.5.
A table has x-values 4, 6, 8, 10 and y-values 16, 17, 18, 19. What is the slope?
1/2
When you multiply or divide an inequality by a negative number, what happens to the inequality symbol?
It flips
What is the difference between f(3) and f(x) = 3?
f(3) means plug 3 in for x. f(x) = 3 means find the x-value that makes the function equal 3.
What is the slope of a line parallel to y = -4x + 7?
-4
The regression equation is y = 12x + 8. Predict y when x = 5.
68
Using the table with x-values 4, 6, 8, 10 and y-values 16, 17, 18, 19, what is the equation?
y=1/2x+14
Write x < -3 or x ≥ 4 in interval notation
(-∞, -3) ∪ [4, ∞)
If f(x) = 4x - 7, find f(2).
1
Rewrite 6x - 3y = -1 in slope-intercept form.
y = 2x + 1/3
regression line is y = 2.5x + 10. Use the equation to predict y when x = 4.
20
Question: Using y = 1/2x + 14, predict the height when x = 20.
24