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## Lesson details

### Key learning points

- In this lesson, we will learn how to establish inequalities from perimeter expressions.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Perimeter is the total _____ of all sides of a shape. When the side lengths are written algebraically the perimeter can be written as an _______.

length, equation

weight, equation

weight, expression

Q2.

Which of the following is an expression for the perimeter of this shape? (Use the definitions from the lesson.)

4p + 2q

6p

6q

Q3.

Which of the following is an expression for the perimeter of this shape? (Use the definitions from the lesson.)

2p + 4q

6p

6q

Q4.

Which of the following is an expression for the perimeter of this image? (Use the definitions from the lesson.)

12p + 2q

16pq

6p + 10q

Q5.

Which of the following is an expression for the perimeter of this image? (Use the definitions from the lesson.)

12p + 2q

16pq

6p + 10q

### 5 Questions

Q1.

Fill in the gap: We can use an ______ to compare the lengths and perimeters of different lines and shapes.

Equality

Equation

Expression

Q2.

Using the image, decide which of the following is true.

r < p

r < q

r = q

Q3.

Which inequality best compares the expressions for the perimeters of the 2 shapes below?

8p + q < 6p + q

8q + p < 6q + p

8q + p > 6q + p

Q4.

Which inequality best compares the expressions for the perimeters of the 2 shapes below?

4p < 2p + q

4p < 3p

4p > 3p

Q5.

Which inequality best compares the expressions for the perimeters of the 2 shapes below?

7p + q < 7p + 2q

7p + q > 7p + 2q

7p + r > 7p + q + r