More Equations, Formulae and Functions 1

More Equations, Formulae and Functions 1

By Maman Firmansyah

​Learning Objectives

After learning this material, you will be able to:

• ​Setting up equations to solve problems

• Using and transforming formulae​

Subject | Subject

Some text here about the topic of discussion

Open Ended

Write any formula that you know, and explain each variable you use!

​22.1 Setting up Equations

Subject | Subject

Setting up equations to solve problems

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Multiple Choice

Two times the sum of Malcolm's age and three equals eight. If you were finding Malcolm’s age, your first step would be to:

• solve an algebraic equation

• translate the problem into an equation

• assign a variable to represent Malcolm’s age

Multiple Choice

Three is subtracted from a number and the answer is multiplied by eight. The result is the same as when the number is increased by six and then multiplied by five.

Which of the following represents the problem?

• $$8\left(x-3\right)=5\left(x+6\right)$$  

• $$8\left(3-x\right)=5\left(x+6\right)$$  

• $$8\left(x-3\right)=6\left(x+5\right)$$  

Multiple Choice

Eleven times the sum of a number and 10 can be expressed as:

• 11q + 10

• 10(q + 11)

• 11(q + 10)

Multiple Choice

When 5 is added to a number k and the result is doubled the answer is 22.

What is the number k?

• 6

• 11

• 12

Multiple Choice

Twice the sum of a number and 6 is equal to 18. Choose the correct equation to solve the problem.

• 2(y + 18) = 6

• 2(y + 2) = 18

• 2(y + 6) = 18

​22.2 Using and transforming formulae

Subject | Subject

Using and transforming formulae

​Examples

Subject | Subject

Using and transforming formulae

​RESTRICTION OF VARIABLE !!!

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Multiple Choice

$$v=u+at$$  

When you solve this equation for t, you get:

• $$t=\frac{v-u}{a}$$  

• $$t=\frac{v-a}{u}$$  

• $$t=\frac{v+a}{u}$$  

• $$t=\frac{v+u}{a}$$  

Multiple Choice

$$y=x^2$$  

What are the possible values of y?

• $$y\le0$$  

• $$y\ge0$$  

• all real numbers of y

• $$y>0$$  

Multiple Choice

The formula for the area of a circle is A = πr².

In practise, what are the permissible values for r?

• any real number

• any positive integer

• any positive number

• any positive number or zero

Multiple Choice

Make k the subject of the equation.

$$m=\frac{k+p}{5}$$  

• $$k=5m+p$$  

• $$k=5m-p$$  

• $$k=5p-m$$  

• $$k=5\left(m-p\right)$$  

Multiple Choice

Given formula:

$$m=\frac{3}{k-4}$$  

What is the restriction for k?

• $$k=4$$  

• $$k\ne-4$$  

• $$k\ne4$$  

• no restriction for k

​For this session:

• Red: I don't understand , please tell me another way

• Amber: ​I understand, but i need to review it all

• Green: I understand well and i will share this to my friends

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Write your respond in chat box, please!​

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