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ISEE Middle Level Math : How to find the solution to an equation

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 #484 : Algebra

Subtract:

$\frac{3}{}9-\frac{1}{9}=$

Possible Answers:

$\frac{4}{9}$

$\frac{2}{9}$

Correct answer:

$\frac{2}{9}$

Explanation:

Subtract the numerator and leave the denominator the same:

$\frac{3}{9}-\frac{1}{9}=\frac{2}{9}$

Answer: $\frac{2}{9}$

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Example Question #485 : Algebra

Subtract:

$\frac{50}{70}-\frac{19}{70}=$

Possible Answers:

$\frac{30}{70}$

$\frac{31}{70}$

Correct answer:

$\frac{31}{70}$

Explanation:

Subtract the numerators and leave the denominator the same:

$\frac{50}{70}-\frac{19}{70}=\frac{31}{70}$

Answer: $\frac{31}{70}$

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Example Question #303 : Equations

Which of the following phrases can be written as the algebraic expression 66-4x ?

Possible Answers:

Four multiplied by the difference of sixty-six and a number

The product of sixty-six and a number subtracted from four

Sixty-six subtracted from the product of four and a number

Four multiplied by the difference of a number and sixty-six

The correct answer is not given among the other responses

Correct answer:

The correct answer is not given among the other responses

Explanation:

We see that none of the four choices is correct as follows:

"The product of sixty-six and a number subtracted from four":

"The product of sixty-six and a number" $\rightarrow 66x$

"The product of sixty-six and a number subtracted from four" $\rightarrow 4- 66x$

"Sixty-six subtracted from the product of four and a number":

"The product of four and a number" $\rightarrow 4x$

"Sixty-six subtracted from the product of four and a number" $\rightarrow 4x - 66$

"Four multiplied by the difference of sixty-six and a number":

"The difference of sixty-six and a number" $\rightarrow 66-x$

"Four multiplied by the difference of sixty-six and a number" $\rightarrow 4\left ( 66-x \right )$

"Four multiplied by the difference of a number and sixty-six":

"The difference of a number and sixty-six" $\rightarrow x-66$

"Four multiplied by the difference of a number and sixty-six" $\rightarrow 4\left (x-66 \right )$

None of these four expressions formed is equivalent to 66-4x .

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Example Question #486 : Algebra

Solve:

$4^{3}*20=$

Possible Answers:

1240

1280

1200

1250

Correct answer:

1280

Explanation:

First cube 4:

$4^{3}=64$

Then find the product:

64*20=1280

Answer: 1280

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Example Question #487 : Algebra

What is $\frac{18}{360}$ as a decimal?

Possible Answers:

Correct answer:

Explanation:

Divide the numerator by the denominator: $18\div360=.05$

Answer:

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Example Question #488 : Algebra

Solve:

$5^{3}*2^{2}=$

Possible Answers:

129

121

400

500

Correct answer:

500

Explanation:

First solve the exponents:

$5^{3}=125$

$2^{2}=4$

Then take their product: 125*4=500

Answer: 500

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Example Question #489 : Algebra

Solve:

$1^{5}*10^{2}=$

Possible Answers:

101

125

100

Correct answer:

100

Explanation:

First take the exponents:

$1^{5}=1$

$10^{2}=100$

Then multiply: 1*100=100

Answer: 100

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Example Question #490 : Algebra

Simplify:

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

Possible Answers:

$x^{5}$

$x^{6}$

Correct answer:

$x^{5}$

Explanation:

Keep the base the same and add the exponents:

$x^{2}*x^{3}=x^{5}$

Answer: $x^{5}$

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Example Question #301 : How To Find The Solution To An Equation

Simplify:

$y^{12}*y^{10}=$

Possible Answers:

$y^{120}$

$y^{12}$

$y^{2}$

$y^{22}$

Correct answer:

$y^{22}$

Explanation:

Keep the base the same and add the exponents:

$y^{12}*y^{10}=y^{22}$

Answer: $y^{22}$

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Example Question #302 : How To Find The Solution To An Equation

Solve for :

7y=224

Possible Answers:

231

217

Correct answer:

Explanation:

To solve, divide each side by 7:

$7y\div 7=224\div 7$

y=32

Answer:

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : How to find the solution to an equation

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #484 : Algebra

Example Question #485 : Algebra

Example Question #303 : Equations

Example Question #486 : Algebra

Example Question #487 : Algebra

Example Question #488 : Algebra

Example Question #489 : Algebra

Example Question #490 : Algebra

Example Question #301 : How To Find The Solution To An Equation

Example Question #302 : How To Find The Solution To An Equation

All ISEE Middle Level Math Resources

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