Equations and Rearranging Formulae

Equations and rearranging

formulae

Equations are a shorthand way of recording and easily manipulating many problems.

Leonhard Euler (1707–1783) was a great Swiss mathematician.
He formalised much of the algebraic terminology and notation that is used today.

Source: CUP

Learning Objectives.

• expanding brackets that have been multiplied by a negative number.

• solving a linear equation.

• rearranging a formula to change the subject.

Fill in the Blanks

Prerequisite knowledge Check.

Expand this algebraic expression

2(2x + 3)

Fill in the Blanks

Prerequisite knowledge Check.

Expand this algebraic expression

(y - 3)(-5)

Fill in the Blanks

Prerequisite knowledge Check.

Simplify this algebraic expression

4(y − 7) − 5(3y + 5)

Poll

Keyword for today.
Check every words that you know the meaning of.

• Expansion

• Linear Equation

• Solution

• Variable

Equation is ...

Equation is ...

We introduce equations with a variable such that the equation is true for only some values of the variable.
Unfortunately, we use the same symbol, “=”, to mean that two expressions are equivalent and to write equations that are only true for some values of a variable.

Multiple Choice

Is it correct to state x can be any numbers for the equation

x + 3 = 9

• YES

• NO

Dropdown

In equation x + 3 = 9, if we subtitute x into 3 then the equation is ​

Select answer

. However if we subtitute x into 6 then the equation becomes ​

Select answer

.

Solution of an equation

Fill in the Blanks

What is the solution of a given equation below.

3x + 1 = 13

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What is the solution of a given equation below.

5x − 2 = 3x + 6

Fill in the Blanks

What is the solution of a given equation below.

5x + 12 = 20 − 11x

Fill in the Blanks

What is the solution of a given equation below.

2(y − 4) + 4(y + 2) = 30

Fill in the Blanks

What is the solution of a given equation below.

$\frac{6}{7}p=10$