# Combining algebraic relationships

In this lesson, we will learn to use equivalence to combine algebraic relationships.

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Fill in the gaps: The "n" in the nth term represents the ____.

1/5

Q2.Which sequence is formed as a result of adding -3n + 11 and 2n + 1 together?

2/5

Q3.Which sequence is formed as a result of subtracting 2n + 11 from -3n + 11?

3/5

Q4.Which sequence is formed as a result of adding "4, 9, 14, 19, ..." and "12, 8, 4, 0, ..." together?

4/5

Q5.Which sequence is formed as a result of subtracting "4, 9, 14, 19, ..." from "12, 8, 4, 0, ..."?

5/5

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Fill in the gaps: The "n" in the nth term represents the ____.

1/5

Q2.Which sequence is formed as a result of adding -3n + 11 and 2n + 1 together?

2/5

Q3.Which sequence is formed as a result of subtracting 2n + 11 from -3n + 11?

3/5

Q4.Which sequence is formed as a result of adding "4, 9, 14, 19, ..." and "12, 8, 4, 0, ..." together?

4/5

Q5.Which sequence is formed as a result of subtracting "4, 9, 14, 19, ..." from "12, 8, 4, 0, ..."?

5/5

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

Quiz:

# Combining algebraic relationships quiz

Show what you've learnt!

Q1.Look at the picture below and then fill in the gap: If the same expression is __________ to two equal quantities, then the two resulting expressions will be equal.

1/5

Q2.Look at the picture below and then fill in the gap: If the same expression is ___________ from two equal quantities, then the two resulting expressions will be equal.

2/5

Q3.Look at the picture below and then fill in the gap: If two equal expressions are both _____________ by the same quantity, then the two resulting expressions will be equal.

3/5

Q4.Look at the picture below and then fill in the gap: If two equal expressions are both __________ by the same quantity, then the two resulting expressions will be equal.

4/5

Q5.If 𝑥 + 𝑦 = 100, then what is the value of 2𝑥 + 2𝑦 - 20?

5/5

Quiz:

# Combining algebraic relationships quiz

Show what you've learnt!

Q1.Look at the picture below and then fill in the gap: If the same expression is __________ to two equal quantities, then the two resulting expressions will be equal.

1/5

Q2.Look at the picture below and then fill in the gap: If the same expression is ___________ from two equal quantities, then the two resulting expressions will be equal.

2/5

Q3.Look at the picture below and then fill in the gap: If two equal expressions are both _____________ by the same quantity, then the two resulting expressions will be equal.

3/5

Q4.Look at the picture below and then fill in the gap: If two equal expressions are both __________ by the same quantity, then the two resulting expressions will be equal.

4/5

Q5.If 𝑥 + 𝑦 = 100, then what is the value of 2𝑥 + 2𝑦 - 20?

5/5

# Lesson summary: Combining algebraic relationships

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Walk

On the spot:
Chair yoga