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ISEE Middle Level Math : Numbers and Operations

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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 #106 : How To Find The Distributive Property

Simplify the following:

3(a +2b + 3c)

Possible Answers:

3a+2b+3c

3a+6b+9c

3a+5b+6c

3+a+2b+3c

18abc

Correct answer:

3a+6b+9c

Explanation:

To distribute, we will take the coefficient in front, and multiply each term by it.

So, we get

3(a +2b + 3c)

${\color{Blue} 3}({\color{Blue} a} +2b + 3c) = {\color{Blue} 3a}$

${\color{Green} 3}(a {\color{Green} +2b} + 3c) = {\color{Green} + 6b}$

${\color{Red} 3}(a +2b {\color{Red} + 3c}) = {\color{Red} + 9c}$

${\color{Blue} 3a}{\color{Green} + 6b}{\color{Red} +9c}$

3a+6b+9c

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Example Question #1555 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Simplify the following terms: 2x(x^2+2x-1)

Possible Answers:

2x^3+2x^2-2x

3x^2-4x+2

2x^3+2x^2-2

2x^3+4x^2-2x

2x^3+4x^2-2

Correct answer:

2x^3+4x^2-2x

Explanation:

Use the distributive property to simplify the expression.

Multiply the monomial with the terms of the trinomial.

2x(x^2+2x-1) = (2x)(x^2)+ (2x)(2x)+(2x)(-1)

Expand the terms.

The answer is: 2x^3+4x^2-2x

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Example Question #111 : Concepts

A watch originally cost $55.00. If it is on sale for 20% off, what is the sale price of the watch?

Possible Answers:

$\$57.00$

$\$52.55$

$\$66.00$

$\$44.00$

$\$110.00$

Correct answer:

$\$44.00$

Explanation:

To solve:

First, find what is 20% of 55 by multiplying:

$\small 55\cdot .20=11$

Then, subtract 20% (11) from the original price:

$\small 55-11=44$

The final sale price will be $44.00.

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Example Question #11 : Decimals

Which is largest?

a. 30% of 150

b. 20% of 300

c. 40% of 60

d. 10% of 400

Possible Answers:

Correct answer:

Explanation:

To solve:

First find the corresponding percentage of each multiple choice answer,

a) $\small 150\cdot .30= 45$

b) $\small 300\cdot .20= 60$

c) $\small 60\cdot .40= 24$

d) $\small 400\cdot .10= 40$

Then, compare the amounts and select which amount is the largest:

b) 60

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Example Question #1 : How To Find Percentage

How do you write $\frac{1}{5}$ as a percent?

Possible Answers:

20%

25%

50%

15%

Correct answer:

20%

Explanation:

$\frac{1}{5}$ is equal to $\frac{20}{100}$ , which is 20%.

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Example Question #671 : Numbers And Operations

Andrew has completed 80% of the race. If the race is 5000 meters, how far along is Andrew?

Possible Answers:

$4000\ meters$

$2000\ meters$

$1000\ meters$

$5000\ meters$

$3000\ meters$

Correct answer:

$4000\ meters$

Explanation:

Multiply the length of the race by the percentage accomplished by Andrew:

$5000 \ast .80= 4000$

Answer: Andrew has completed 4000 meters of the race.

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Example Question #113 : Concepts

Which is less?

a. 60% of 10

b. 20% of 40

c. 30% of 20

d. 10% of 50

Possible Answers:

Correct answer:

Explanation:

Find the amounts by multiplying each number to the percentage rate:

$a. 10 \ast .60=6$

$b. 40 \ast .20=8$

$c. 20 \ast .30=6$

$d. 50 \ast .10=5$

Compare the amounts to find the least. The answer is D.

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Example Question #672 : Numbers And Operations

A round trip flight is on sale for $425.00. If the flight originally costs $500.00, what percentage was it reduced by?

Possible Answers:

Correct answer:

Explanation:

Subtract the sale price from the original price:

500-425=75

Divide that amount by the original price to find the percentage of the sale.

$75 \div 500=.15$

Answer: The flight was reduced by 15%.

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Example Question #673 : Numbers And Operations

Anita is sewing a quilt made of 120 patches. She has sewn together 84 patches already. What percentage of the quilt has Anita sewn?

Possible Answers:

Correct answer:

Explanation:

Divide 84 by the entire amount of patches 120 to find the percentage completed.

$84 \div 120= .70$

The answer is Anita has completed 70% of the quilt.

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Example Question #1 : Percentage

Phil filled up 25 balloons for a party. By the end of the night, only 15 balloons were left; the rest had popped. What percentage of balloons popped throughout the party?

Possible Answers:

Correct answer:

Explanation:

Subtract 25-15=10 to find the amount of balloons that popped.

Then, divide $10\div 25=.4$

The answer: 40% of the balloons popped.

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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 : Numbers and Operations

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #106 : How To Find The Distributive Property

Example Question #1555 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #111 : Concepts

Example Question #11 : Decimals

Example Question #1 : How To Find Percentage

Example Question #671 : Numbers And Operations

Example Question #113 : Concepts

Example Question #672 : Numbers And Operations

Example Question #673 : Numbers And Operations

Example Question #1 : Percentage

All ISEE Middle Level Math Resources

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