Exploring Double Distribution and Binomial Multiplication

Exploring Double Distribution and Binomial Multiplication

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSA.APR.A.1, HSA.APR.C.4, HSA.APR.C.5

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.HSA.APR.A.1
,
CCSS.HSA.APR.C.4
,
CCSS.HSA.APR.C.5
The video tutorial introduces the concept of double distribution in algebra, explaining how to distribute two terms across parentheses. It provides multiple examples, starting with simple binomials and progressing to more complex problems, including squared binomials and triple terms. Each example is broken down step-by-step, demonstrating how to distribute terms and combine like terms to simplify expressions. The tutorial concludes with a summary of the key steps involved in double distribution.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of distributing x in the expression (x + 2)(x - 5)?

x^2 + x - 10

x^2 - 3x - 10

x^2 + 3x - 10

x^2 - 5x + 2

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does squaring a binomial like (2x + 4)^2 involve?

Squaring each term separately

Adding 2x to 4

Multiplying 2x by 4

Writing it as (2x + 4)(2x + 4)

Tags

CCSS.HSA.APR.C.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After distributing in (2x + 4)^2, what is the coefficient of the x term?

12

4

16

8

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression (3x + 9)(8x - 2), what is the coefficient of the x term after simplification?

18

24

72

66

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the constant term in the simplified form of (3x + 9)(8x - 2)?

-18

-24

18

24

Tags

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you handle the distribution when there are three terms in the second parentheses?

Combine the terms first

Distribute each term in the first parentheses to all terms in the second

Only distribute the first term

Ignore the third term

Tags

CCSS.HSA.APR.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of distributing x in the expression (x + 2)(x^2 + 4x + 5)?

x^3 + 4x^2 + 9x + 10

x^3 + 6x^2 + 13x + 10

x^3 + 5x^2 + 8x + 10

x^2 + 6x + 10

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