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ISEE Middle Level Math : Distributive Property

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 #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:

2940

112

121

111

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 #14 : How To Find The Distributive Property

Simplify the expression:

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

Possible Answers:

2 x + 10

2 x + 30

10 x + 54

2 x + 54

5 x + 10

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 #15 : How To Find The Distributive Property

Simplify:

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

Possible Answers:

$-15 x ^{2}$

$20 x ^{3} -35$

$20 x ^{3} -7$

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

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

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 #16 : How To Find The Distributive Property

Simplify:

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

Possible Answers:

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

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

$28 x^{4} - 9$

$28 x^{2} - 9$

$28 x^{2} - 36$

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 #15 : 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 #16 : 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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Example Question #17 : How To Find The Distributive Property

5(4+7)=

Possible Answers:

Correct answer:

Explanation:

Using the distributive property, multiply:

$5\cdot 4+5\cdot 7=$

20+35=55

Answer:

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Example Question #20 : How To Find The Distributive Property

Use distributive property to write out:

4(x-3)

Possible Answers:

4x+12

Not enough information provided

4x-12

4x-3

4x+3

Correct answer:

4x-12

Explanation:

4(x-3)

Any time a number is next to a variable that means we need to multiply. Keep in mind this is the distributive property, so we must multiply everything in the parentheses by the number next to it.

In this case we must multiply by and by

This gives us 4x-12 .

This is our answer because we are only asked to use distributive property to write this out.

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Distributive Property

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

All ISEE Middle Level Math Resources

Example Questions

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 #14 : How To Find The Distributive Property

Example Question #15 : How To Find The Distributive Property

Example Question #16 : How To Find The Distributive Property

Example Question #15 : How To Find The Distributive Property

Example Question #16 : How To Find The Distributive Property

Example Question #17 : How To Find The Distributive Property

Example Question #20 : How To Find The Distributive Property

All ISEE Middle Level Math Resources

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