Algebra: Worksheet 9 - Challenge Yourself Q1

Challenge Yourself Question 1 (p8):
Write down a word problem such that the equation to be formed for solving the problem is 5x + 4(x - 10) = 140

Answers submitted by...

• Joshua:
• Mr A has 5 times more apple than Mr B. If Mr B lost 10 apples, Mr C will have 4 times more apples than him. Mr A and Mr C have 140 apples altogether. Find the number of apples Mr B has.
• Akhila:
• One bag has 10 less marbles than in a box. Tom bought 5 such boxes adn 4 such boxes. The total number of marbles he bought was 140. Find the number of marbles in a box. Let x represents the number of marbles in each box.
• Devanshi:
• After buying 4 bags for (x-10) dollars each, Sandara had 5x dollars left. How much was each bag if her total allowance was $140.
• Ben:
• Mary has 5x apples while Jane has 4x-40 apples. They have 140 apples combined. Find x.

Worksheets received from... (by 7 Oct 2011)

1. [1] Amelia
2. [2] Akhila
3. [3] Jia En
4. [5] Devanshi
5. [6] Dawn
6. [7] Ming Yi
7. [8] Mervin
8. [10] Eugene
9. [11] Joshua
10. [14] Leighton
11. [17] Luke
12. [19] Ben
13. [22] Kashyap
14. [23] Siddharth

Chapter 6: Equations

To complement the exercise we have:
Try this activity in the BBC Bitesize Website: Solving Equations
At the end of the 4th page, it comes with a Test Bite :)

Question (2a) By Ryan Yeo :D

Question 1(n) by Max

Question 2(a) by Jia En

Question 1(L) by Christabel

Qn: 2 (d)

Question 2(c) by Tay Ming Yi

Question 2(b) by Amelia

question 1( J)

Q1 (f)

Question 1 (h) by Luke

Question 2(e) by Devanshi

Question 2(b) by Ben Ng

Q.2e_Joshua Tan

Task for 20110801: Let me explain...

With reference to the video clips...
Explain how you would solve the equation assigned to you in your notebook.
Use INK to pen down your explanation (to solve the equation).

Reminder:

• Explain clearly every step... as if you are explaining to someone who does not know how to solve an equation
• Use mathematical vocabulary that you have generated as a class when doing the explanation.

Submission:
Take a photo of your work and post it in this Maths Blog
Title: Question No. by Your Name

Questions:
Exercise 6.1 (p116)
No. 1(b)
No. 1(d)
No. 1(f)
No. 1(h)
No. 1(l)
No. 1(n)
No. 2(a)
No. 2(b)
No. 2(c)
No. 2(d)
No. 2(e)
No. 2(f)

Chap 6: An Introduction to Algebraic Equations - Watch this video

Chap 6: An Introduction to Algebraic Equations - Listen to the Concepts

Listen very carefully to the thinking behind the mechanism of solving the equation.
Also look out how we could check if our answers are correct.

Video 1


Video 2


Video 3


Video 4


Video 5

Chap 6: Let's form Equations!

When given a word problem with unknowns, we can "convert" the words into mathematical equations to find out the unknowns.

For example
Given a number exceeds another by 4 and their sum is 32.
Express the statement as an equation.

Let the smaller number be y. The other number would be y + 4.
Equation: y + (y + 4) =  32

If we proceed to solve it further, we'll get 2y + 4 = 32
2y = 28, which resulted y = 14.
Hence the two numbers are 14 and 18.

Let's attempt the following:

Click HERE to see responses.

A Preview to Chap 6: Solving Equations

Last week, we briefly touched on the topic Solving Equations.
In the AceLearning Task "reading" assigned to you, there are several video lessons
Go through the following and listen carefully to the explanation.
This would help you better your explanation (in the viva voce)

• Introduction 1 
• Example 1, 2, 3
• Example 4
• Example 5

The "Progressive Mastery Programme" for Equations has been assigned for you to practice and hone your skills. You should only attempt it after you have gone through the examples.