Slope/Rate of Change
0.50 or one half
Write and label the slope intercept form?
y=mx+b; m=slope, b=y-intercept
Draw and label the symbols for inequalities (what does each symbol mean)
Dotted: <, >
Solid: <=, >=
Up: >, >=
Down, <, <=
What does domain represent?
x-values
What is the solution to -3(4x+3)+4(6x+1)=43
x=4
What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
m= -1/13
What is the y-value in the given system of equations?
3x+2y=10
y=x-5
y= -1
Which ordered pair is in the solution set of y<3x+1
A. (-1, 1)
B. (-2, 0.5)
C. (0, 2)
D. (5, 0)
D. (5, 0)
A set of weights includes a 4lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20lbs. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x)=20x+4. What is the range of the function?
{4, 24, 44, 64, 84, 104, 124}
Nancy went to the grocery store. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. What is the cost of a banana?
$1.50
What is the slope of the line that passes through the points (0,4) and (8, 16)
m=2
m=-2
m=-1.5
4. m=1.5
D. m=1.5
What value of x makes the equation 5x+5(-3x-18)=-190 true?
x=10
Which ordered pair is in the solution set of
y >0.8x-2?
A. (2, -1)
B. (1, -3)
C. (-2, 4)
C. (-2, 4)
The temperature of a cup of hot chocolate as it is warming is modeled by the equation
y=15+3x where y is the temperature at time, x (in minutes). What are reasonable domain values if the hot chocolate warms for five minutes?
0<x<5
0<y<30
{0, 1, 2, 3, 4, 5}
4.{15, 18, 21, 24, 27, 30}
Write an equation for the following: A plane is traveling at a height of 18,000 feet. The plane started descending at a rate of 360 feet per minute.
y=18,000-360x
What is the slope of the line represented by y=-2+5x
m=5
What is the solution to the system of equations given?
2x+y=-4
-3y=2x+12
(-4 0)
What is the rate of change of the line that passes through the points (4, -7) and (9,1)?
8/5 or 1.4
Describe Discrete and Continuous and give an example of domain and range for each
Discrete, dotted/counted, list
Continuous, connected, inequalities
What is the solution for the following system of equations?
2x+6y=12
-3x-9y=-18
No solution
Exactly 1 solution
Infinite solutions
Exactly 2 solution
3. Infinite Solution
write the slope formula and an example of each type of slope
m= y2-y1/x2-x1. Positive, Negative, Zero, Undefined
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450. Which system of equations represents the situation? How long does it take for Alexandra to give one haircut?
45 minutes
Which ordered pair(s) are in the solution set of y>x-1
A. (0,0)
B. (0, -1)
C. (1, 2)
D. (3, 0)
(3, 0)
Nellie has $24 to spend on friendship bracelets. Each bracelet costs $4. The function. f(b)=24-4b represents the amount of money Nellie has left, f(b), after purchasing b bracelets. What is the range for this situation?
A. 0<b<6
B. 0<f(b)<24
C. {0, 1, 2, 3, 4, 5, 6}
D. {0, 4, 8, 12, 16, 20, 24}
{0, 4, 8, 12, 16, 20, 24}
What is the equation of the line that passes through the point (8,-1)and is perpendicular to the line y=x+4?
x+y=7
x+4y=8
x-y= -7
4. x+y=-9
A. x+y=7