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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Middle Level Math

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #5 : How To Find The Distributive Property

7( 5+8)=

Possible Answers:

280

Correct answer:

Explanation:

First add the terms inside the parentheses, then multiply:

7( 5+8)=7(13)=91

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Example Question #6 : How To Find The Distributive Property

8(9-1)=

Possible Answers:

Correct answer:

Explanation:

Subtract the terms inside the parentheses, and then multiply by the term outside of the parentheses:

8(9-1)=8(8)=64

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Example Question #11 : How To Find The Distributive Property

4(12-4)=

Possible Answers:

Correct answer:

Explanation:

First complete the subtraction inside the parentheses, and then multiply:

4(12-4)=4(8)=32

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Example Question #12 : How To Find The Distributive Property

6( 6+8)=

Possible Answers:

Correct answer:

Explanation:

First complete the addition inside the parentheses, and then multiply the result by the constant outside of the parentheses:

6( 6+8)=6(14)=84

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Example Question #13 : How To Find The Distributive Property

14(5+3)=

Possible Answers:

112

111

2940

121

Correct answer:

112

Explanation:

First complete the addition inside of the parentheses, then multiply by the constant outside of the parentheses:

=14(8)=112

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Example Question #578 : Numbers And Operations

Simplify the expression:

6 (x + 7) - 4(x-3)

Possible Answers:

5 x + 10

2 x + 10

2 x + 30

10 x + 54

2 x + 54

Correct answer:

2 x + 54

Explanation:

Distribute, then collect like terms, making sure you switch the symbols in the second disribution due to the minus:

6 (x + 7) - 4(x-3)

$= 6 \cdot x + 6 \cdot 7 - 4 \cdot x+4 \cdot 3$

= 6 x + 42 - 4 x+12

= 6 x - 4 x + 42 +12

$=\left ( 6 - 4 \right ) x + 42 +12$

=2 x + 54

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Example Question #14 : How To Find The Distributive Property

Simplify:

$5x ^{2} (4x - 7)$

Possible Answers:

$-15 x ^{2}$

$20 x ^{3} -35$

$20 x ^{3} -7 x ^{2}$

$20 x ^{3} -35 x ^{2}$

$20 x ^{3} -7$

Correct answer:

$20 x ^{3} -35 x ^{2}$

Explanation:

$5x ^{2} (4x - 7)$

$= 5x ^{2} \cdot 4x - 5x ^{2} \cdot7$

$=\left ( 5\cdot 4 \right ) \left ( x ^{2} \cdot x \right )-\left ( 5 \cdot 7 \right )\cdot x ^{2}$

$=20 x ^{2+1} -35 x ^{2}$

$=20 x ^{3} -35 x ^{2}$

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Example Question #14 : Distributive Property

Simplify:

$4x^{2} (7x ^{2} - 9)$

Possible Answers:

$28 x^{4} - 9$

$28 x^{4} - 36 x^{2}$

$28 x^{2} - 9$

$28 x^{4} - 9 x^{2}$

$28 x^{2} - 36$

Correct answer:

$28 x^{4} - 36 x^{2}$

Explanation:

$4x^{2} (7x ^{2} - 9)$

$= 4x^{2} \cdot 7x ^{2} - 4x^{2} \cdot 9$

$= (4\cdot 7 ) \cdot ( x^{2} \cdot x ^{2} )- ( 4\cdot 9 )\cdot x^{2}$

$= 28 x^{2+2} - 36 x^{2}$

$= 28 x^{4} - 36 x^{2}$

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Example Question #14 : How To Find The Distributive Property

4(7 +8)=

Possible Answers:

478

Correct answer:

Explanation:

Using the distributive property, multiply:

$4\cdot 7 + 4\cdot 8=$

28+32=60

Answer:

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Example Question #15 : How To Find The Distributive Property

7(9-2)=

Possible Answers:

792

Correct answer:

Explanation:

Using the distributive property, multiply:

$7\cdot 9-7\cdot 2=$

63-14=49

Answer:

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #5 : How To Find The Distributive Property

Example Question #6 : How To Find The Distributive Property

Example Question #11 : How To Find The Distributive Property

Example Question #12 : How To Find The Distributive Property

Example Question #13 : How To Find The Distributive Property

Example Question #578 : Numbers And Operations

Example Question #14 : How To Find The Distributive Property

Example Question #14 : Distributive Property

Example Question #14 : How To Find The Distributive Property

Example Question #15 : How To Find The Distributive Property

All ISEE Middle Level Math Resources

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