Solving Equations
-5x=65
x=-13
∣5b∣=35
𝑏=7. b=-7
−5x>−45
𝑥<9
∣x−10∣>11
x<-1 or x>21
The two inequalities that are open.
What is less than and what is greater than.
−48−x=−39
x=−9
∣5−b∣=12
b=17 and b=−7
−19+6x≤23
x≤7
|3x – 4| > -4
All Real Numbers
The only times when we FLIP the inequality symbol
When we multiply or divide by a negative
4(2x−3)=12
x=3
13=∣−2x+5∣
−4=x and 9=x
−1<x+8≤10
−9< x ≤ 2
|5x + 6| + 4 < 1
No Solution
Spell your Algebra 1 teachers' last names.
Tesfom and Peláez
4(3x+4)+x+5=−5
x=−2
∣−c+12∣=14
c=−2 and c=26
2≥ x+9 or 11≤ 𝑥+9
x≤−7 or x≥2
-3|10x + 21| + 4 < 1
x >−2 OR x < -11/5 or -2.2
A YouTuber known as Mr. Peláez, who is a food critic, earns money from ads on each video he post about taco trucks. For each video, he earns a minimum base amount of $660, plus an additional $0.08 per view. To meet his monthly income goal of at least $5,000, Mr. Peláez wants to determine how many total views they need across all his videos in the month.
If v represents the total number of views on Mr Peláez' videos for the month, set up and solve an inequality to find the minimum views Peláez needs to reach his goal.
660 + 0.08v ≥ 5000
v ≥ 54250
54,250 views need to take place in order for Mr. Peláez to reach his monthly income goal of at least $5000
3(−5x−3)=−10𝑥−(𝑥−6)
x=−3.75
12= -1∣3+3𝑥∣+15
x=0 and x=-2
−7≥−3x+8 AND −3x+8>−19
5≤x and x<9
-|15x + 13| -6 < -8
x<-1 OR x > -11/15 or -.73
Mr. Tesfom wants to treat his favorite Algebra 1 class to Tito’s Tacos, with the $1350 he just received as a bonus for being THE BEST math teacher in the whole wide world.
He is so happy that he is thinking of buying every student a Burrito.The cost to buy everyone a Carne Asada Burrito is $390.00. He is also planning on buying some Tijuana Style tacos, just in case the students are still hungry. The price for each Tijuana Style taco is $2.76.
Write an equation to represent how many tacos Mr. Tesfom can buy if he only has $1350 and he is planning on buying $390 dollars worth of Burritos.
Then solve the equation and explain how many total tacos Mr. Tesfom can buy.
390 + 2.76t = 1350
t = 347.82...
He will be able to buy 347 tacos