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Algebra 1 · Unit 1 · Micro-Lesson 6

Recognize Repeated Groups

I canrecognize when a number, variable, or entire group repeats in an expression.
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Why should I care?

Connect the Math to Real Life

Recognizing repeated groups helps describe bundles, meal deals, subscriptions, and equal packages without writing the same information again and again.

If three friends each order a $6 meal and a $2 drink, the entire group (6 + 2) repeats three times: 3(6 + 2).

Important words

Build the Vocabulary

Read the meaning, then connect it to the example.

Group

Numbers or terms kept together, often with parentheses.

Repeated group

The same complete quantity appearing more than once.

Parentheses

Symbols showing that the contents belong together as one group.

See the pattern

Worked Examples

Repeated variable
x + x + x = 3x

There are three equal groups of x.

Repeated meal bundle
(m + 3) + (m + 3) = 2(m + 3)

The entire bundle m + 3 repeats twice. Keep the group together.

Try it yourself

8-Question Practice

Choose an answer, check your thinking, and use the hint if you need another try.

0 correct
1

Rewrite x + x + x + x.

2

Two students each buy a ticket t and a $4 snack. Which expression shows the repeated group?

3

What complete group repeats in (x + 5) + (x + 5)?

4

Rewrite (a + 2) + (a + 2) + (a + 2).

5

A music plan charges p dollars plus a $3 fee for each of 4 people. Which model fits?

6

Which expression shows five equal groups of y + 1?

7

Why are parentheses needed in 3(x + 7)?

8

Three game passes each include a pass p and two bonus tokens. Choose the model.

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