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ISEE Middle Level Math : Algebraic Concepts

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 #521 : Algebraic Concepts

Solve:

$n^{13}*n^{6}=$

Possible Answers:

$n^{19}$

$n^{6}$

$n^{13}$

Correct answer:

$n^{19}$

Explanation:

To solve, add the exponents and leave the base the same:

$n^{13}*n^{6}=n^{19}$

Answer: $n^{19}$

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Example Question #522 : Algebraic Concepts

Solve:

$r^{65}*r^{30}=$

Possible Answers:

$r^{95}$

$r^{1950}$

$r^{35}$

Correct answer:

$r^{95}$

Explanation:

To solve, add the exponents and leave the base the same:

$r^{65}*r^{30}=r^{95}$

Answer: $r^{95}$

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Example Question #523 : Algebraic Concepts

Solve for m:

21m=252

Possible Answers:

231

273

Correct answer:

Explanation:

To solve, divide by 21 on each side:

$21m\div 21=252\div 21$

m=12

Answer:

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Example Question #524 : Algebraic Concepts

Solve for b:

15b=480

Possible Answers:

495

465

Correct answer:

Explanation:

To solve, divide by 15 on each side:

$15b\div 15=480\div 15$

b=32

Answer:

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Example Question #521 : Algebraic Concepts

Solve for .

2y=4(y-6)

Possible Answers:

Correct answer:

Explanation:

2y=4(y-6)

To solve this equation, first we apply the distributive property by multiplying 4 by each number in the parentheses.

$2y=(4\times y)-(4\times6)$

2y=4y-24

Next, subtract from each side.

-2y=-24

Finally, divide each side by .

$\frac{-2y}{-2}=\frac{-24}{-2}$

$y=\frac{-24}{-2}=12$

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Example Question #525 : Algebraic Concepts

Multiply:

$z^{20}*z^{17}=$

Possible Answers:

$z^{57}$

$z^{3}$

$z^{37}$

$z^{19}$

Correct answer:

$z^{37}$

Explanation:

To solve, add the exponents and leave the base the same:

$z^{20}*z^{17}=z^{37}$

Answer:

$z^{37}$

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Example Question #526 : Algebraic Concepts

Multiply:

$y^{99}*y^{11}=$

Possible Answers:

$y^{100}$

$y^{88}$

$y^{110}$

110

Correct answer:

$y^{110}$

Explanation:

To solve, add the exponents and leave the base the same:

$y^{99}*y^{11}=y^{110}$

Answer:

$y^{110}$

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Example Question #527 : Algebraic Concepts

Which of the following phrases can be written as the algebraic expression 5 (75 - x ) ?

Possible Answers:

Five mutiplied by the difference of a number and seventy-five

Five mutiplied by the difference of seventy-five and a number

The correct answer is not given among the other responses.

Seventy-five subtracted from the product of five and a number

The product of five and a number subtracted from seventy-five

Correct answer:

Five mutiplied by the difference of seventy-five and a number

Explanation:

5 (75 - x ) is five multiplied by the expression 75-x .

75-x is the difference of seventy-five and a number.

Subsequently, 5 (75 - x ) is "five multiplied by the difference of seventy-five and a number".

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Example Question #528 : Algebraic Concepts

Which of the following statements demonstrates the inverse property of multiplication?

Possible Answers:

$8.4 \times 5.3 = 5.3 \times 8.4$

$8.4 \times 1 = 8.4$

None of the other answer choices contain the correct response.

$8.4 \times\left ( 5.3 \times 4.8 \right )= \left (8.4 \times 5.3 \right ) \times 4.8$

$8.4 \times 0 = 0$

Correct answer:

None of the other answer choices contain the correct response.

Explanation:

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, none demonstrate this property.

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Example Question #529 : Algebraic Concepts

$4^{3}*2^{3}=$

Possible Answers:

215

251

521

512

Correct answer:

512

Explanation:

First take care of the exponents:

$4^{3}=64$

$2^{3}=8$

Then multiply:

64*8=512

Answer: 512

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Algebraic Concepts

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #521 : Algebraic Concepts

Example Question #522 : Algebraic Concepts

Example Question #523 : Algebraic Concepts

Example Question #524 : Algebraic Concepts

Example Question #521 : Algebraic Concepts

Example Question #525 : Algebraic Concepts

Example Question #526 : Algebraic Concepts

Example Question #527 : Algebraic Concepts

Example Question #528 : Algebraic Concepts

Example Question #529 : Algebraic Concepts

All ISEE Middle Level Math Resources

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