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- Linear Equations

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

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We always encounter situations that can be expressed in linear equations. Watch this lesson and learn how to solve linear equations word problems.

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: $a(x + b) = c$, Solving linear equations with variables on both sides,

Related concepts: Money related questions in linear equations, Unknown number related questions in linear equations, Distance and time related questions in linear equations, Rectangular shape related questions in linear equations,

- 1.Find the equation of a line parallel to 3x + 5y = 9 with the same y-int as 4x -5y = 12
- 2.Find the equation of a line perpendicular to 3x + 4y = 12 with the same x-int as 2x - 6y = 0
- 3.Lines A & B are perpendicular and have the same x-int. The equation of line A is x + 2y - 4 = 0. Determine the y-int of line B.
- 4.Alex bought 144 bagels for $80. His profit was $75 once he had sold 100 bagels. Find the equation that represents Alex’s profit P as a function of the number sold, n?
- 5.A super computer still has the value of $80,000 after two years, and $50,000 after four years. Determine the purchase price of the super computers
- 6.A house was purchased for $500,000. The owner expects the house to double in value in the next 12 years. Find the appreciation equation.
- 7.The total cost of a car is the sum of the selling price, plus a sales tax of 5%, plus a $100 environmental fee.

i) Express the total cost of the car as a linear function of the selling price.

ii) What is the total cost of a car that sells for $56,000?

iii)What is the selling price of a car whose total cost was $72,000?

8.

Linear Equations

8.1

Introduction to linear equations

8.2

Introduction to nonlinear equations

8.3

Special case of linear equations: Horizontal lines

8.4

Special case of linear equations: Vertical lines

8.5

Parallel line equation

8.6

Perpendicular line equation

8.7

Combination of both parallel and perpendicular line equations

8.8

Applications of linear equations

We have over 1330 practice questions in UK Year 11 Maths for you to master.

Get Started Now8.1

Introduction to linear equations

8.2

Introduction to nonlinear equations

8.3

Special case of linear equations: Horizontal lines

8.4

Special case of linear equations: Vertical lines

8.5

Parallel line equation

8.6

Perpendicular line equation

8.7

Combination of both parallel and perpendicular line equations

8.8

Applications of linear equations