# Combining algebraic relationships

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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, letβs see what you can remember from this topic. Hereβ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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, letβs see what you can remember from this topic. Hereβ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 βResume Videoβ 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 βNextβ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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 π₯ + π¦ = 100, then what is the value of 2π₯ + 2π¦ - 20?

5/5

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
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 π₯ + π¦ = 100, then what is the value of 2π₯ + 2π¦ - 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:
Jog

On the spot:
Dance