6.01 Introduction to variables
The key shows how many apples are in each sized box:
Using algebra, state how many apples are in each of the following boxes:
The following key shows how many oranges are in each sized box:
Using algebra, state how many oranges are in each of the following boxes:
The given key shows how many oranges are in each size of box:
If Vincent has one box of each size, write an algebraic expression for the amount of oranges he has altogether.
Tom is selling some apples in boxes and some apples individually. To the right is the key showing how many apples are in each box:
State the number of apples that each symbol represents:
Hence, determine the number of apples that the following images represent:
If there were three times as many apples in each of the images in part (b):
Describe how the images would change.
What would the new algebraic expressions be for both diagrams?
For each of the following situations, complete the pattern in the table:
A single box contains x apples.
| Number of boxes | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Number of apples | x | 2 x |
A single box contains 2y+1 oranges.
| Number of boxes | 1 | 2 | 3 | 5 | 10 |
|---|---|---|---|---|---|
| Number of oranges | 2y+1 | 4 y+2 |
A single box contains z+2 bananas.
| Number of boxes | 1 | 2 | 3 | 5 | 10 |
|---|---|---|---|---|---|
| Number of bananas | z+2 | 2z+4 |
Write an algebraic expression for the number of pieces of fruit in each of the following situations:
A single box contains x apples.
A single box contains q apples.
Using the given key, state how many apples are represented in the following diagrams using algebra:
Using the given key, state how many oranges are represented in the following diagrams using algebra:
Xanthe is selling some oranges in boxes and some oranges individually. The key is provided to show how many oranges each box represents:
Use the key to state the number of oranges that the following image represents:
For each of the following situations:
Use the given key to draw a diagram to represent the number of pieces of fruit each person has.
Write an algebraic expression for the number of apples that they have altogether.
Georgia has three boxes containing x apples each, and is then given four more apples.
Jimmy has two boxes of oranges containing x oranges each and is then given two more oranges.
For each situation, use the given key to draw a diagram that represents the expression:
2 y + 3 apples
2 a + 2 oranges
