Equations

One step equations I

One step equations II

Problem solving with equations I

Number problems

Keeping equations balanced

One and two step equations I

Three step equations I

One and two step equations II

Three step equations II

Three step equations III

Rearranging then solving I

Rearranging then solving II

Problem solving with equations II

Solve equations (up to 3 step)

Solve further equations

Rearranging then solving III

Values that satisfy equations

Problem solving with equations III

Calendar Equations (Investigation)

Equations with fractions

Equations with rational expressions

Solve quadratic equations (ax^2 = b)

Solve cubic equations (ax^3=b)

Solve exponential equations

Rearrange an equation with squared terms

Medication equations

Properties of equality

Identities and equations

Conditionals, contradictions, and identities

Direct and Inverse Variation

Class VIII

Equations with fractions

Lesson

Here we are looking at solving equations with fractions. This may look tricky, but we can follow the exact same steps that we did when solving equations with whole numbers.

Once again we will follow the reversed order of operations and make the pronumeral the subject of the equation.

Examples

Question 1

Solve the following equation:

$\frac{n}{6}+\frac{n}{5}=11$n6+n5=11

Question 2

Solve the following equation: $\frac{9x}{3}+\frac{9x}{2}=-5$9x3+9x2=−5

Question 3

Solve the following equation: $\frac{5x}{3}-3=\frac{3x}{8}$5x3−3=3x8

Question 4

Solve the following equation: $\frac{8x-2}{3}=\frac{6x-3}{4}$8x−23=6x−34

Outcomes

8.A.AE.4

Solving linear equations in one variable in contextual problems involving multiplication and division (word problems) (avoid complex coefficient in the equations

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