Slope as a Rate of Change
m=-4
Write the point-slope form of the equation passing through the point (-3,5) with a slope of -2/3.
y=-2/3(x+3)+5
Solve the inequality for b.
7b-8>10b+6
b<-14/3
Solve for all values of y.
|2y+1|=41
y=20 and y=-21
What month is Mrs. Carrillo's birthday?
November
Melody's math teacher finds a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=55+7.6x, where y represents the expected quiz score and x represents the hours spent on homework that week. Interpret the slope of the equation in terms of the context.
The expected quiz score increases by 7.6 points per hour spent on homework.
Write the standard form equation of each circle.
center: (9, -8)
radius = square root 65
(x-9)2+(y+8)2=65
Solve.
13x-6=8x+19
x=5
Solve for x.
|4x-3|>-5
All Real Numbers
Five
The two points given represent Tristan's earnings in dollars and cents, y, for working x hours. Find the slope and interpret the slope as a rate of change.
(10, $248) and (20, $496)
m=24.8
Tristan's earnings increase by $24.80 per hour.
Write the absolute value equation as a piecewise linear function.
f(x)=3|2x+5|-4
f(x)= {6x+11 x>=-5/2
f(x)={-6x-19 x<-5/2
Solve for x.
5/(5x+6)=4/(x+2)
x=-14/15
Solve the following inequality.
2|x+9|+1>7
x<-12 or x>-6
What is Mrs. Carrillo's favorite artist?
Bruno Mars
Scientists are preparing two satellites to be launched. Space Explorer A travels at 9000 miles per hour. Space Explorer B flies 125,000 miles in 25 hours.
Fill in the blank:
Space Explorer A travels _______ miles per hour faster/slower than Space Explorer B.
Space Explorer A travels 4000 miles per hour faster than Space Explorer B.
Using the point-slope form, write the slope-intercept form of the linear equation going through the point (-5,-7) and a slope of 1/2.
y=1/2x-9/2
Solve for x:
y=4x/(x+2)
x=2y/(4-y)
x=-2y/(y-4)
Solve the following inequality algebraically.
2|3+3x|+6<24
-4<x<2
How many ear piercings does Mrs. Carrillo have?
21
Luna and Eva own competing taxicab companies. Both companies charge a one-time pickup fee for every ride, as well as a charge for each mile traveled. Eva charges $4.50 pickup fee and $3 per mile. Luna's cab company charges $14.50 for 10 miles and $1.50 pickup fee. Who charges more per mile? Explain.
Eva charges $3 per mile while Luna charges $1.30. Thus, Eva charges $1.70 more per mile than Luna.
Determine the y-intercept of the line going through the points
(0,-1)
Solve the following inequality.
-1/2<-7x+5((3/5)x -2)
x<-19/8
Solve the equations for all values of x.
|3x+5|-3=x
x=-1, x=-2
What is Mrs. Carrillo's husband's last name?
Ramos