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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 #291 : How To Find The Solution To An Equation

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

Possible Answers:

$8.4 \times 1 = 8.4$

None of the examples in the other responses demonstrates the commutative property of multiplication.

$8.4 \times 5.3 = 5.3 \times 8.4$

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

$8.4 \times 0 = 0$

Correct answer:

$8.4 \times 5.3 = 5.3 \times 8.4$

Explanation:

The commutative property of multiplication states that two numbers can be multiplied in either order to obtain the same product. Of the given responses, only

$8.4 \times 5.3 = 5.3 \times 8.4$

demonstrates this property, so it is the correct choice.

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Example Question #292 : Equations

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

Possible Answers:

$8.4 \times 0 = 0$

$8.4 \times 1 = 8.4$

$8.4 \times 5.3 = 5.3 \times 8.4$

None of the examples in the other responses demonstrates the associative property of multiplication.

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

Correct answer:

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

Explanation:

The associative property of multiplication states that to multiply three numbers, any two can be multiplied first, followed by multiplying the product by the third. Of the statements given, only

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

demonstrates this property, so it is the correct choice.

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Example Question #293 : Equations

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

Possible Answers:

$\frac{3}{4} +\left ( \frac{7}{8} + \frac{1}{6} \right )= \left (\frac{3}{4} + \frac{7}{8} \right ) + \frac{1}{6}$

$\frac{7}{8} + \left (- \frac{7}{8} \right ) = 0$

$\frac{3}{4} +0 = \frac{3}{4}$

None of the examples in the other responses demonstrates the inverse property of addition.

$\frac{3}{4} + \frac{7}{8} = \frac{7}{8} + \frac{3}{4}$

Correct answer:

$\frac{7}{8} + \left (- \frac{7}{8} \right ) = 0$

Explanation:

The inverse property of addition states that for every real number, a number exists, called the additive inverse, such that the number and its inverse have sum 0. Of the statements given, only

$\frac{7}{8} + \left (- \frac{7}{8} \right ) = 0$

demonstrates this property, so it is the correct choice.

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Example Question #495 : Algebraic Concepts

Which of the following statements demonstrates the associative property of addition?

Possible Answers:

$\frac{7}{8} + \left (- \frac{7}{8} \right ) = 0$

None of the examples in the other responses demonstrates the associative property of addition.

$\frac{3}{4} +0 = \frac{3}{4}$

$\frac{3}{4} +\left ( \frac{7}{8} + \frac{1}{6} \right )= \left (\frac{3}{4} + \frac{7}{8} \right ) + \frac{1}{6}$

$\frac{3}{4} + \frac{7}{8} = \frac{7}{8} + \frac{3}{4}$

Correct answer:

$\frac{3}{4} +\left ( \frac{7}{8} + \frac{1}{6} \right )= \left (\frac{3}{4} + \frac{7}{8} \right ) + \frac{1}{6}$

Explanation:

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only

$\frac{3}{4} +\left ( \frac{7}{8} + \frac{1}{6} \right )= \left (\frac{3}{4} + \frac{7}{8} \right ) + \frac{1}{6}$

demonstrates this property, so it is the correct choice.

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Example Question #292 : How To Find The Solution To An Equation

Solve:

8y=68

Possible Answers:

8.5

8.9

Correct answer:

8.5

Explanation:

To solve, divide each side by 8:

$8y\div 8=68\div 8$

y=8.5

Answer: 8.5

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Example Question #2617 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Which of the following phrases can be written as the algebraic expression 100 - (x + 7) ?

Possible Answers:

The correct answer is not given among the other responses

The sum of a number and seven subtracted from one hundred

One hundred subtracted from the sum of a number and seven

The difference of seven and a number added to one hundred

The difference of a number and seven added to one hundred

Correct answer:

The sum of a number and seven subtracted from one hundred

Explanation:

100 - (x + 7) is $x + \textrm{7}$ subtracted from one hundred.

$x + \textrm{7}$ is the sum of a number () and seven.

Therefore,

100 - (x + 7) is the sum of a number and seven subtracted from one hundred.

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Example Question #293 : How To Find The Solution To An Equation

Solve for :

4y=404

Possible Answers:

104

400

101

100

Correct answer:

101

Explanation:

To solve, divide each side by 4:

$4y\div 4=404\div 4$

y=101

Answer: 101

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Example Question #294 : How To Find The Solution To An Equation

Solve for :

7r=161

Possible Answers:

168

154

Correct answer:

Explanation:

To solve, divide each side by 7:

$7r\div 7=161\div 7$

r=23

Answer:

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Example Question #295 : How To Find The Solution To An Equation

Solve for :

12p=204

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by 12:

$12p\div 12=204\div 12$

p=17

Answer:

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Example Question #296 : How To Find The Solution To An Equation

Solve for :

33s=429

Possible Answers:

396

462

Correct answer:

Explanation:

To solve, divide each side by 33:

$33s\div 33=429\div 33$

s=13

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 #291 : How To Find The Solution To An Equation

Example Question #292 : Equations

Example Question #293 : Equations

Example Question #495 : Algebraic Concepts

Example Question #292 : How To Find The Solution To An Equation

Example Question #2617 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #293 : How To Find The Solution To An Equation

Example Question #294 : How To Find The Solution To An Equation

Example Question #295 : How To Find The Solution To An Equation

Example Question #296 : How To Find The Solution To An Equation

All ISEE Middle Level Math Resources

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