6.01 Introduction to variables
The key shows how many apples are in each sized box:
Using algebra, state how many apples are in the following boxes:
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?
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:
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
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 |