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- Solving Linear Equations (Advanced)
Solving linear equations with variables on both sides
- Intro Lesson17:59
- Lesson: 1a1:39
- Lesson: 1b2:32
- Lesson: 1c1:03
- Lesson: 1d3:57
- Lesson: 1e1:46
- Lesson: 2a1:42
- Lesson: 2b1:53
- Lesson: 2c2:00
- Lesson: 2d2:57
- Lesson: 3a6:57
- Lesson: 3b1:40
Solving linear equations with variables on both sides
When you want to solve a linear equation with variables on both sides, the first step is to isolate the variables to one side. Once you have done that, we can do subtraction, addition, cross multiplication, or any other necessary steps to solve the equation.
Basic Concepts: Solving linear equations using multiplication and division, Solving two-step linear equations: ax+b=c, ax+b=c, Solving linear equations using distributive property: a(x+b)=c
Related Concepts: Solving multi-step linear inequalities, Using algebra tiles to factor polynomials, Solving polynomial equations, Word problems of polynomials
Lessons
- Introductiona)How to turn a word problem into an equation?
• ex. 1: "revenue" problem
• ex. 2: "area" problem - 1.Find the solution.a)−3.4x=6.3−3.7xb)73+75x=31xc)0.42x=−0.3x−2.67d)65(x+3)=21xe)283x=41(2−x)
- 2.Solve.a)3.61+0.25x=0.11−1.23xb)20.13−11.6x=3.7+15.2xc)−65x+3=2−61xd)221x−27=341x+43
- 3.Yesterday, Mary biked to school from home at 9 km/h. Today, she walked to school from home at 3.75 km/h. It took her 37 minutes to go to school on both days altogether.a)How long did it take Mary to bike to school?b)How far is Mary's home to school?
Do better in math today
24.
Solving Linear Equations (Advanced)
24.1
Solving linear equations using multiplication and division
24.2
Solving two-step linear equations: ax+b=c, ax+b=c
24.3
Solving linear equations using distributive property: a(x+b)=c
24.4
Solving linear equations with variables on both sides
24.5
Solving literal equations