Understanding Common Binomials and Factoring

Understanding Common Binomials and Factoring

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
7.EE.A.1, HSA.APR.D.6, 6.EE.A.2C

+3

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.7.EE.A.1
,
CCSS.HSA.APR.D.6
,
CCSS.6.EE.A.2C
CCSS.HSA-REI.B.4B
,
CCSS.HSA.APR.C.4
,
CCSS.6.EE.B.6
,
The video tutorial explains how to find a common binomial between two expressions: M squared minus 4M minus 45 and 6M squared minus 150. The process involves factoring each expression separately. The first expression is factored into (M - 9)(M + 5), while the second expression is simplified by taking out a common factor of 6, resulting in (M - 5)(M + 5). The common binomial identified is (M + 5). The tutorial emphasizes understanding the difference of squares and the importance of recognizing common factors.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal when comparing the two expressions in the video?

To find the sum of the expressions

To identify a common binomial

To multiply the expressions

To divide the expressions

Tags

CCSS.6.EE.A.2C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'a' in the first expression?

0

2

3

1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which two numbers multiply to -45 and add to -4 in the first expression?

-6 and 7

6 and -7

9 and -5

-9 and 5

Tags

CCSS.7.EE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What factor is taken out from the second expression to simplify it?

6

3

5

9

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical concept is used to simplify the second expression?

Completing the square

Difference of squares

Quadratic formula

Sum of cubes

Tags

CCSS.HSA.APR.C.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the second expression after factoring?

6(M - 3)(M + 3)

6(M - 4)(M + 4)

6(M - 9)(M + 9)

6(M - 5)(M + 5)

Tags

CCSS.7.EE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which binomial is common to both expressions?

M - 9

M + 5

M + 9

M - 5

Tags

CCSS.6.EE.B.6

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