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Perfect Square Trinomials and Completing the Square

Perfect Square Trinomials and Completing the Square

Assessment

Interactive Video

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA-REI.B.4B, HSA.APR.C.4

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.HSA-REI.B.4B
,
CCSS.HSA.APR.C.4
The video tutorial explains how to determine the constant term needed to make an expression a perfect square trinomial. This skill is essential for solving quadratic equations using the method of completing the square. The tutorial provides three examples with different values of B, demonstrating the process of finding the constant term and verifying it by factoring the trinomial into two equal factors. The video emphasizes that the constant term in a perfect square trinomial is always positive.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of making an expression a perfect square trinomial?

To make the expression linear

To solve quadratic equations using completing the square

To simplify the expression

To eliminate the middle term

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If B = 8, what is the constant term that should be added to make the expression a perfect square trinomial?

64

8

16

4

Tags

CCSS.HSA.APR.C.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of the trinomial when B = 8 and the constant term is added?

(x + 8)(x + 8)

(x + 2)(x + 2)

(x + 16)(x + 16)

(x + 4)(x + 4)

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For B = -14, what is the constant term that makes the expression a perfect square trinomial?

14

28

49

-14

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of the trinomial when B = -14 and the constant term is added?

(x - 7)(x - 7)

(x - 14)(x - 14)

(x + 14)(x + 14)

(x + 7)(x + 7)

Tags

CCSS.HSA.APR.C.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the constant term always positive in a perfect square trinomial?

Because a negative constant term cannot form a perfect square

Because it eliminates the middle term

Because it makes the expression linear

Because it simplifies the expression

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When B = -7, what is the constant term that should be added to make the expression a perfect square trinomial?

14

49

49/4

7/2

Tags

CCSS.HSA.APR.C.4

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