Fractions
Simplify 4/36
1/9
State IN ORDER the steps to solve a Multi-Step Equation
1) Distribute 2)Combine like terms
3)Move variables and constants to opposite sides
4)Collect like terms 5)Solve by multiplying or dividing
What are the 3 types of solutions?
One, None (No), and Infinitely Many Solutions
SET UP ONLY: Pedro opened a savings account with $100. Samantha opened a savings account with $30 but adds $10 per week.
Pedro: s=$100
Samantha: s=$10w+$30
2x+5=17
x=6
(2/6)+(5/6)=?
(7/6)
8-3y=7y-2-5y
y=2
If there is no solution, what does that mean for x?
There is no value for x where the left side = the right side.
Pedro opened a savings account with $100. Samantha opened a savings account with $30 but adds $10 per week. MODEL an equation when Pedro's savings are the same as Samantha's savings.
*NOT solving*
$100=$10w+30
-3x-33=8x
x=-3
7(1/3x)=?
(7/3)x
4(k-3)+7=-k+15
k=4
Solve x+7=1 and label the solution type
x= -6 ; one solution
Pedro opened a savings account with $100. Samantha opened a savings account with $30 but adds $10 per week.
After how many weeks will Pedro and Samantha have the same amount of money in their savings account?
7 weeks
2x-4=7x+21
x=-5
28(1/7x)=?
4x
27(1/3x-1)=12x-2
*leave answer in SIMPLIFIED fraction*
x= -(25/3)
Give an example of SOLUTIONS for each solution type.
x=1 ; 0=5 ; 3=3
A video arcade charges $42 initially to play Fortnite plus $2.50 per hour that you play. Another video arcade charges $35 initially to play Fortnite but charges $3.75 per hour that you play. After how many hours will the cost be the same for both arcades?
5.6 hours
-23-8x=7x+35
*leave answer in SIMPLIFIED fraction*
x=-(58/15)
6(1/3)+(4/3)=?
(10/3)
48(1/8g-1/5)+3/5 = -(g-12)
g=3
Solve 3x-15=3(x-5), state the solution type, and explain what the solution means for x.
-15=-15 ; infinitely many solutions ; neverending values for x where the left side = the right side
Which arcade is the better deal if you played 7 hours?
Arcade 1: c=$42+$2.50h
2/3x-4=6-1/4x
*leave answer in SIMPLIFIED fraction*
x=(120/11)