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Converting Standard to Vertex Form with the Box Method

Converting Standard to Vertex Form with the Box Method

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B, 8.EE.C.7B

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSA-REI.B.4B
,
CCSS.8.EE.C.7B

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting a quadratic from standard form to vertex form using the box method?

Divide the quadratic by 2

Draw a circle around the quadratic

Put a box around the first two terms

Multiply the quadratic by 4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When modeling the quadratic with a square, what do the length and width of the square represent?

The roots of the quadratic

The terms of the quadratic

The factors of the quadratic

The coefficients of the quadratic

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the dimensions of the square for the term 8x?

Multiply 8 by 2

Divide 8 by 2

Add 8 to 2

Subtract 2 from 8

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the missing piece to complete the square for the quadratic?

A term that makes the quadratic a linear equation

A term that makes the quadratic a perfect square

A term that makes the quadratic a cubic equation

A term that makes the quadratic a constant

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value is added to complete the square for the quadratic x^2 + 8x?

10

8

4

16

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After completing the square, what must be done to maintain the equality of the equation?

Add the same value to both sides

Subtract the same value from both sides

Add and subtract the same value

Multiply both sides by the same value

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the quadratic x^2 + 8x + 16 rewritten in vertex form?

(x - 4)^2 + 26

(x - 4)^2 - 26

(x + 4)^2 + 26

(x + 4)^2 - 26

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