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Kelso Math: Algebra 2B - Unit 1 - Lesson 3 (IM Alg1 U7L13)

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A.REI.4.b

"Source: Illustrative Mathmatics Resouces (Download for free at curriculum.illustrativemathematics.org)"

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Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Put Jada's steps in order for solving the equation by completing the square.

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12.

Explain what move Jada made to go from step one to step two in question #11. Be specific. Why did she make that move? How did she know how much to add? I will have to grade this one.

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13.

Explain what move Jada made to go from step three to step four in question #11. Why did she set x+10 equal to 8 and -8? I will have to grade this one.

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14.

Put Han's steps in order for solving the equation by completing the square.

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15.

Explain what move Han made to go from step one to step two in question #14. Be specific. Why did he make that move? How did he know how much to add? I will have to grade this one.

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Explain what move Han made to go from step three to step four in question #14. Why did he set x + 0.8 equal to 1 and -1? I will have to grade this one.

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17.

What would Jasmine need to add to each side of the equation to create a perfect square?

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18.

Answer format (include the word or, with a space before and after): x=___ or x=___

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19.

Answer format (include the word or, with a space before and after): x=___ or x=___

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20.

Answer format (Write your answers as fractions. Include the word or, with a space before and after): x=___ or x=___

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21.

Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.

Draggable itemarrow_right_altCorresponding Item

(x+9)(x-9)

arrow_right_alt

-x^{2}+4

(x+y)(x-y)

arrow_right_alt

x^{2}-81

(2+x)(2-x)

arrow_right_alt

x^{2}-4

(2+x)(x-2)

arrow_right_alt

x^{2}-y^{2}

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1.

What value would you add to this expression to make a perfect square?

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2.

Now write the resulting expression in factored form:

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3.

What value would you add to this expression to make a perfect square?

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4.

Now write the resulting expression in factored form:

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5.

What value would you add to this expression to make a perfect square?

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6.

Now write the resulting expression in factored form:

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7.

What value would you add to this expression to make a perfect square?

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8.

Now write the resulting expression in factored form:

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9.

What value would you add to this expression to make a perfect square?

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10.

Now write the resulting expression in factored form: