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Common Core: High School - Algebra : Interpret Complicated Expressions: CCSS.Math.Content.HSA-SSE.A.1b

Study concepts, example questions & explanations for Common Core: High School - Algebra

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All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Seeing Structure In Expressions

Rewrite the following expression:

(3x-1)^2

Possible Answers:

(3x-1)(3x-1)(3x-1)

6x-2

(3x-1)(3x-1)

3x^2-1

9x^2-1

Correct answer:

(3x-1)(3x-1)

Explanation:

To rewrite the expression first identify and interpret the individual parts of the given expression.

Identify the various terms in the expression.

(3x-1)^2

$\\\text{Term One}=(3x-1)^2$

Now, recall the general form for exponents.

$\\a^2=a\cdot a \\(ax)^3=ax\cdot ax\cdot ax$

Expand the term as follows to get an equivalent expression.

$(3x-1)^2=(3x-1)\cdot (3x-1)$

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Example Question #24 : Seeing Structure In Expressions

Rewrite

2(x+1)^2

Possible Answers:

$2\div (x+1) \cdot (x + 1)$

$2\cdot (x+1) \cdot (x + 1)$

$2+ (x+1) \cdot (x + 1)$

$2- (x+1) \cdot (x + 1)$

$2 \cdot (2x + 2)$

Correct answer:

$2\cdot (x+1) \cdot (x + 1)$

Explanation:

To rewrite the expression, first identify and interpret the individual parts of the given expression.

Identify the various terms in the expression.

2(x+1)^2

$\\\text{Term One}=2 \\\text{Term Two}=(x+1)^2$

Now, recall the general form for exponents.

$\\a^2=a\cdot a \\(ax)^3=ax\cdot ax\cdot ax$

Expand the second term as follows.

$(x+1)^2=(x+1)\cdot (x+1)$

From here, combine the first term with the expanded second term to result in the final solution.

$2\cdot (x+1) \cdot (x + 1)$

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All Common Core: High School - Algebra Resources

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Common Core: High School - Algebra : Interpret Complicated Expressions: CCSS.Math.Content.HSA-SSE.A.1b

Study concepts, example questions & explanations for Common Core: High School - Algebra

All Common Core: High School - Algebra Resources

Example Questions

Example Question #21 : Seeing Structure In Expressions

Example Question #24 : Seeing Structure In Expressions

All Common Core: High School - Algebra Resources

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