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ISEE Middle Level Math : Distributive Property

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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 #71 : Distributive Property

2(9+4)= $\displaystyle 2(9+4)=$

Possible Answers:

$\displaystyle 29$

$\displaystyle 26$

$\displaystyle 3$

$\displaystyle 15$

Correct answer:

$\displaystyle 26$

Explanation:

According to the order of operations, we should take care of the operations in parentheses first. Then find the product:

$\displaystyle 2(9+4)=2(13)=26$

Answer: $\displaystyle 26$

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Example Question #72 : Distributive Property

$\displaystyle 5(7+13)=$

Possible Answers:

100 $\displaystyle 100$

$\displaystyle 25$

101 $\displaystyle 101$

110 $\displaystyle 110$

Correct answer:

100 $\displaystyle 100$

Explanation:

We perform the addition first because it is in parentheses. The second and final step is the multiplication:

$\displaystyle 5(7+13)=5(20)=100$

Answer: 100 $\displaystyle 100$

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Example Question #73 : Distributive Property

Multiply:

$\displaystyle y(-2y+3)$

Possible Answers:

$-2y^{2}-3y$ $\displaystyle -2y^{2}-3y$

$-2y^{2}+3y$ $\displaystyle -2y^{2}+3y$

$2y^{2}+3y$ $\displaystyle 2y^{2}+3y$

$-y^{2}+3y$ $\displaystyle -y^{2}+3y$

Correct answer:

$-2y^{2}+3y$ $\displaystyle -2y^{2}+3y$

Explanation:

In this problem, you must apply the distributive property and multiply y by each item in the parentheses.

$\displaystyle y(-2y+3)$

Remember that y times y will result in $y^{2}$ $\displaystyle y^{2}$.

$-2y^{2}+3y$ $\displaystyle -2y^{2}+3y$

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Example Question #74 : Distributive Property

6(5+2)= $\displaystyle 6(5+2)=$

Possible Answers:

$\displaystyle 48$

$\displaystyle 36$

$\displaystyle 30$

$\displaystyle 42$

Correct answer:

$\displaystyle 42$

Explanation:

First do the addition, because operations in parentheses take precedent. Then take the product to find the answer:

$\displaystyle 6(5+2)=6(7)=42$

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Example Question #75 : Distributive Property

$\displaystyle 4(3+11)=$

Possible Answers:

$\displaystyle 12$

$\displaystyle 56$

$\displaystyle 44$

$\displaystyle 18$

Correct answer:

$\displaystyle 56$

Explanation:

Order of Operations tells us that the operation in parentheses must be done before the multiplication:

$\displaystyle 4(3+11)=4(14)=56$

Answer: $\displaystyle 56$

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Example Question #76 : Distributive Property

$\displaystyle 12(8+3)=$

Possible Answers:

$\displaystyle 36$

$\displaystyle 32$

$\displaystyle 96$

132 $\displaystyle 132$

Correct answer:

132 $\displaystyle 132$

Explanation:

First add the numbers in parentheses, then find the product:

$\displaystyle 12(8+3)=12(11)=132$

Answer: 132 $\displaystyle 132$

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Example Question #77 : Distributive Property

9(4+4)= $\displaystyle 9(4+4)=$

Possible Answers:

$\displaystyle 80$

$\displaystyle 84$

$\displaystyle 70$

$\displaystyle 72$

Correct answer:

$\displaystyle 72$

Explanation:

You must remember the Order of Operations (PEMDAS): Parentheses Exponents Multiplication Division Addition Subtraction

$\displaystyle 9(4+4)=9(8)=72$

Answer: $\displaystyle 72$

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Example Question #78 : Distributive Property

8(7+3)= $\displaystyle 8(7+3)=$

Possible Answers:

$\displaystyle 8$

$\displaystyle 24$

$\displaystyle 80$

$\displaystyle 56$

Correct answer:

$\displaystyle 80$

Explanation:

If you remember the Order of Operations (PEMDAS), this problem can be solved quickly.

PEMDAS stands for Parentheses Exponents Multiplication Division Addition Subtraction:

$\displaystyle 8(7+3)=8(10)=80$

Answer: $\displaystyle 80$

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Example Question #79 : Distributive Property

Solve using the distributive property:

3(8+7)= $\displaystyle 3(8+7)=$

Possible Answers:

$\displaystyle 54$

$\displaystyle 45$

$\displaystyle 12$

$\displaystyle 15$

Correct answer:

$\displaystyle 45$

Explanation:

First multiply 3 by each number in parentheses:

3*8=24 $\displaystyle 3*8=24$

3*7=21 $\displaystyle 3*7=21$

Then solve equation: $\displaystyle 24+21=45$

Answer: $\displaystyle 45$

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Example Question #80 : Distributive Property

Solve:

$\sqrt{16}(78)=$ $\displaystyle \sqrt{16}(78)=$

Possible Answers:

132 $\displaystyle 132$

123 $\displaystyle 123$

213 $\displaystyle 213$

312 $\displaystyle 312$

Correct answer:

312 $\displaystyle 312$

Explanation:

First solve the square root: $\sqrt{16}=4$ $\displaystyle \sqrt{16}=4$

Then multiply:

$\displaystyle 4(78)=312$

Answer: 312 $\displaystyle 312$

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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 #71 : Distributive Property

Example Question #72 : Distributive Property

Example Question #73 : Distributive Property

Example Question #74 : Distributive Property

Example Question #75 : Distributive Property

Example Question #76 : Distributive Property

Example Question #77 : Distributive Property

Example Question #78 : Distributive Property

Example Question #79 : Distributive Property

Example Question #80 : Distributive Property

All ISEE Middle Level Math Resources

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