Year 7 - Function Machines Homework

Question 1 - Fill in blanks where the question marks are, like we did in class.

Introduction to Algebra - Independent Learning Task


Read then complete the questions below, only the first three questions are compulsory.

In mathematics letters can be used to represent a  number that we don’t know, or when it can vary (it could be lots of different numbers )
Here is some algebra shorthand:

• 2x means 2 multiplied by x, where x can be any number

x can be any number, so let's say x = 5 then 2x = 2 × 5 = 10!

• 2g means 2 multiplied by g
• 6y means 6 multiplied by y
• 6x + 2 means 6 multiplied by x then add 2

2x, 2g, 6y and 6x + 2 are all called expressions.
x, g and y are called variables because they are unknown or could be lots of different numbers, they can vary.

Example
Write down what the expression  6x is equal to when
A. x=2 B. x=3 C. x=10
Answers:
When x=2 , 6x = 6 × 2   = 12
When x=3 , 6x = 6 × 3 = 18
When x=10 , 6x = 6 × 10 = 60

Questions
1. Write down what the expression  10x is equal to when
A. x=2 B. x=3 C. x=10

2. Write down what the expression  x + 5 is equal to when
A. x=41 B. x=52 C. x=10

3. Write down what the expression  x—5 is equal to when
A. x=8 B. x=15 C. x=25

Extension Questions
4. Write down what the expression  5x - 54 is equal to when
A. x=9 B. x=25 C. x=105

5. Write down what the expression  ½(2x  - 5) is equal to when (HINT— you do the calculation in the brackets first then half it)
A. x=12 B. x=9 C. C. x=10

6. Write down what the expression  ¼n(n + 5) is equal to when ( HINT—you do the calculation in the brackets first then multiply  it by ¼n)
A. n=4 B. n=16 C. n=10

Link to BBC page if you're having trouble understanding or want to find out more about algebra. Click HERE!