Solving Equations
+2 +2
1/2x = 6
×2 ×2
x = 12
How many solutions?
x = x
Infinite Solutions!
-8 -8
-2y = 10
/-2 /-2
y = -5
How many solutions?
3 = 5
No Solutions
x = 4
How many solutions?
4x - 7 = 13
Final equation: x = 5
1 Solution
Two players, John and Pele, are saving up V-Bucks to buy the next Battle Pass.
John already has 200 V-Bucks in his account. He completes daily quests to earn 50 V-Bucks each day.
Pele only has 100 V-Bucks. However, he plays more matches and earns 100 V-Bucks each day.
After how many days will John and Pele have the exact same amount of V-Bucks?
x = 2
2 days
+6 +6
3x = 2x - 18
-2x -2x
x = -18
Should be positive 6
Negative times negative is a positive
How many solutions?
2x + 4 = 2x - 4
No Solutions
4 is not equal to -4 after the 2x's cancel out
Maya and Leo are saving up for a new game.
Maya already has $40 saved. She plans to save $5 each week.
Leo only has $10 saved. However, he is determined to catch up and plans to save $15 each week.
After how many weeks will Maya and Leo have the exact same amount of money?
5x + 40 = 15x + 15
x = 3
3 weeks
-2(x + 4) + 3x = 4(x - 1) - 13
x = 3
How many solutions?
5x = 2x
Final Equation: x = 0
1 solution
Two basketball players are competing to see who will have the most total points by the end of the season.
Mia has already scored 100 points this season. She averages 15 points per game.
Kai started the season late and only has 40 points. However, he is on a hot streak and averages 25 points per game.
After how many games will Mia and Kai have scored the exact same total number of points?
15x + 100 = 25x + 40
x = 6
6 games