Writing Equations
Write an equation to represent the following scenario. Define your variable:
You bought hot dogs for a barbecue. Each hot dog costs $2.75. You spent a total of $33.00. Write an equation to represent the number of hot dogs you purchased.
2.75x = 33
Solving Equations
5n - 2 = 8n - 14
n = 4
6x – 13 = 11
x= 4
What are the four standard mathematical operations?
Addition, subtraction, multiplication, division
4 = -8 + x
x= 12
Write an equation to represent the following scenario. Define your variable:
You traveled 75 miles to Denver in 2.5 hours. Remember, D=r*t
75 = r * 2.5
Solving Equations
-4(-8p + 1) = -4 - 8p
p = 0
3x + 5 = 14
x= 3
What is the goal of solving equations?
To find the value of your unknown that would make the equation true.
x + 12 = 0
x= -12
Write an equation to represent the following scenario. Define your variable:
The sum of twice a number and 6 is 22.
2x+6=22
Solving Equations
6(6n - 2) = 8n - 40
n = -1
(x/2) +10=-8
x= -36
What is the first thing that we need to do when solving equations with parentheses?
Remove parentheses (by distributing the value outside) OR dividing the ENTIRE equation by that value
3 = -2 – x
x= -5
Write an equation to represent the following scenario. Define your variables:
Jamie earned 15 more points on her test than Paul earned.
If Jamie got a 92, find Paul's score.
J = P + 15
Paul got a 77.
Solving Equations
5x + 5 + 4x = 4 - 3x + 6
x= 5/12 or x= 0.41667
(x/2)-4=10
x= 28
How to Check the solutions by yourself?
Plug the solution into the original equation.
5x = -80
x= 16
Write an equation to represent the following scenario. Define your variable:
You make 10$ an hour at your job. You also get a $15 bonus for showing up on a Saturday. In a week, you made $230 total.
10H + 15 = 230
Solving Equations
-5(8n - 4) - n = - 16 - 5n
n = 1
(x/3)+12=-3
x= -45
What is the capital of Russia?
Moscow
16 = x/2
x= 32