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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 #415 : Fractions

Divide the following:

$\frac{9}{10} \div \frac{1}{2}$

Possible Answers:

$\frac{3}{5}$

$\frac{9}{20}$

$\frac{4}{5}$

$\frac{9}{5}$

Correct answer:

$\frac{9}{5}$

Explanation:

To divide fractions, we will take the first fraction and multiply it by the reciprocal of the second fraction. To find the reciprocal of a fraction, the numerator will become the denominator, and the denominator will become the numerator. In other words, we will flip the fraction.

So, we get

$\frac{9}{10} \div \frac{1}{2}$

$\frac{9}{10} \cdot \frac{2}{1}$

$\frac{9 \cdot 2}{10 \cdot 1}$

$\frac{18}{10}$

$\frac{9}{5}$

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Example Question #561 : Numbers And Operations

Divide the following:

$\frac{6}{8} \div \frac{1}{2}$

Possible Answers:

$\frac{1}{2}$

$\frac{3}{8}$

$\frac{3}{4}$

$\frac{6}{8}$

$\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

So, we get

$\frac{6}{8} \div \frac{1}{2}$

$\frac{6}{8} \cdot \frac{2}{1}$

$\frac{6 \cdot 2}{8 \cdot 1}$

$\frac{12}{8}$

$\frac{6}{4}$

$\frac{3}{2}$

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Example Question #1 : Distributive Property

Which of the following expressions is equivalent to the expression below?

-7 (x - 9)

Possible Answers:

-7x - 9

63x

-7x + 63

-7x+9

-7x - 63

Correct answer:

-7x + 63

Explanation:

First, we can distribute the into the parentheses.

-7 (x - 9) = (-7 * x) - (-7*9)

Now we can simplify the terms.

(-7*x)-(-7*9)= -7 x - (-63)

Subtracting a negative is the same as adding a positive.

-7x-(-63)= -7x+63

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Example Question #1 : How To Find The Distributive Property

$3\left ( 4+5 \right )=$

Possible Answers:

Correct answer:

Explanation:

Using the distributive property, multiply 3 times each of the numbers in parentheses, then add both products:

3*4=12

3*5=15

12+15=27

The answer is 27.

Alternatively, add the two terms inside the parentheses and then multiply the sum by 3:

3(4+5)=3(9)=27

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Example Question #2 : Distributive Property

$\frac{5(3+4)}{5}=$

Possible Answers:

2.4

Correct answer:

Explanation:

First, using the distributive property, multiply 5 times each number in parenthesis, then add the products.

5*3=15

5*4=20

15+20=35

Finally, divide the numerator by the denominator.

$\frac{35}{5}=7$

The answer is 7.

Alternatively, first cancel the 5s and then add the terms in the parentheses:

$\frac{5(3+4)}{5}=(3+4)=7$

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Example Question #1 : How To Find The Distributive Property

Simplify the expression: 9 (y-6)

Possible Answers:

y-54

9y-15

9y-54

9y-6

y-15

Correct answer:

9y-54

Explanation:

Apply the distributive property:

9 (y-6)

$=9 \cdot y-9 \cdot 6$

=9 y-54

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Example Question #1451 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Simplify the expression: 9y - 3y + 5y

Possible Answers:

11y

17y

-135y

$-135y^{3}$

Correct answer:

11y

Explanation:

Apply the distributive property:

9y - 3y + 5y

$= \left (9- 3 + 5 \right ) y$

$= \left (6 + 5 \right ) y$

= 11y

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Example Question #1 : How To Find The Distributive Property

Which of the following expressions is equal to $10 \times (5+8)$ according to the distributive property of multiplication over addition?

Possible Answers:

$10 \times (8+5)$

$10 \times 5 + 8$

$10 \times 5 \times8$

$(5+8) \times 10$

$10 \times 5+10 \times8$

Correct answer:

$10 \times 5+10 \times8$

Explanation:

According to the distributive property, for any values of a,b,c ,

$a (b + c) = a \cdot b + a \cdot c$

If we set a=10,b=5,c=8 , this becomes the statement

$10 \times (5+8) = 10 \times 5+10 \times8$ .

Note that two of the other choices are equal to $10 \times (5+8)$ , but for different reasons; $10 \times (8+5)$ is equivalent because of the commutative property of addition, and $(5+8) \times 10$ is equivalent because of the commutative property of multiplication. The other two choices are not equal to $10 \times (5+8)$ at all.

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Example Question #3 : How To Find The Distributive Property

14(11+2)=

Possible Answers:

154

126

182

180

Correct answer:

182

Explanation:

14(11+2)

=14(13)

=182

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Example Question #4 : How To Find The Distributive Property

11(7-3)=

Possible Answers:

110

Correct answer:

Explanation:

11(7-3)=11(4)=44

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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 #415 : Fractions

Example Question #561 : Numbers And Operations

Example Question #1 : Distributive Property

Example Question #1 : How To Find The Distributive Property

Example Question #2 : Distributive Property

Example Question #1 : How To Find The Distributive Property

Example Question #1451 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1 : How To Find The Distributive Property

Example Question #3 : How To Find The Distributive Property

Example Question #4 : How To Find The Distributive Property

All ISEE Middle Level Math Resources

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