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- Solving Linear Equations

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Get Started Now- Intro Lesson: a17:59
- 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

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: $ax + b = c$, ${x \over a} + b = c$, 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

- Introductiona)How to turn a word problem into an equation?

• ex. 1: "revenue" problem

• ex. 2: "area" problem - 1.Find the solution.a)$- 3.4x = 6.3 - 3.7x$b)$\frac{3}{7} + \frac{5}{7}x = \frac{1}{3}x$c)$0.42x = - 0.3x - 2.67$d)$\frac{5}{6}\left( {x + 3} \right) = \frac{1}{2}x$e)$2\frac{3}{8}x = \frac{1}{4}\left( {2 - x} \right)$
- 2.Solve.a)$3.61 + 0.25x = 0.11 - 1.23x$b)$20.13 - 11.6x = 3.7 + 15.2x$c)$- \frac{5}{6}x + 3 = 2 - \frac{1}{6}x$d)$2\frac{1}{2}x - \frac{7}{2} = 3\frac{1}{4}x + \frac{3}{4}$
- 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?

5.

Solving Linear Equations

5.1

Solving linear equations using multiplication and division

5.2

Solving two-step linear equations: $ax + b = c$, ${x \over a} + b = c$

5.3

Solving linear equations using distributive property: $a(x + b) = c$

5.4

Solving linear equations with variables on both sides

5.5

Solving literal equations

We have plenty of practice questions in Transition Year Maths for you to master.

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