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Completing the Square and Factoring Practice

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Completing the Square and Factoring Practice
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Convert to vertex form.

y=3(x+1)2 - 8

y=3(x-1) 2 - 8

y=3(x+2)2 - 8

y=3(x-2)2 - 8

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Convert to vertex form.

y=4(x+4)2 - 62

y=4(x-4)2 - 62

y=4(x-8)2 - 62

y=4(x+8)2 - 62

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Convert to vertex form.

y=1/2(x-4)2 - 29

y=1/2(x+4)2 - 29

y=1/2(x+8)2 - 29

y=1/2(x-8)2 - 29

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Convert to vertex form.

y=-2(x+12)2 - 67

y=-2(x-12)2 - 67

y=-2(x-6)2 - 67

y=-2(x+6)2 - 67

5.

DROPDOWN QUESTION

1 min • 1 pt

Solve the following quadratics equation by completing the square (a)  

x = -2 ± √3

x = -3 ± √2

x = 2 ± √3

x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

6.

DRAG AND DROP QUESTION

1 min • 1 pt

The quadratic shown is going to be solved by completing the square, the first step is shown Problem: x2 + 6x + ​ (a)   = ​ (b)   What are the missing values?

9

14

6

5

-6

-9

3

8

12

Tags

CCSS.HSA-REI.B.4B

7.

MATCH QUESTION

1 min • 4 pts

Match the following quadratic equations with the correct step when completing the square.

(x−1)2=17\left(x-1\right)^2=17

x2−10x+10=25x^2-10x+10=25

(x+2)2=21\left(x+2\right)^2=21

x2+6x+6=1x^2+6x+6=1

(x+3)2=4\left(x+3\right)^2=4

x2−2x−5=11x^2-2x-5=11

(x−5)2=40\left(x-5\right)^2=40

x2+4x−5=12x^2+4x-5=12

Tags

CCSS.HSA-REI.B.4B

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