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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 #593 : Algebraic Concepts

Solve for y in the following equation:

8y = 72

Possible Answers:

y=54

y=9

y=8

y=6

y=74

Correct answer:

y=9

Explanation:

To solve for y, we want y to stand alone.

So, in the equation

8y = 72

we need to move the 8. To move it, we need to cancel it. Right now, y is being multiplied by 8. To cancel, we need to divide by 8.

If we divide by 8 on the left side of the equal sign, we need to divide by 8 on the right side of the equal sign. So, we get

$\frac{8y}{8} = \frac{72}{8}$

y=9

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Example Question #594 : Algebraic Concepts

Solve for h in the following equation:

$\frac{h}{6} = 12$

Possible Answers:

h = 6

h = 72

h = 68

h = 54

h = 18

Correct answer:

h = 72

Explanation:

To solve for h, we want h to stand alone.

So, in the equation

$\frac{h}{6} = 12$

We want to move the 6. To move it, we need to cancel it. Right now, h is being divided by 6. To cancel, we need to multiply by 6. If we multiply by 6 on the left side of the equal sign, we need to multiply by 6 on the right side of the equal sign. So,

$\frac{h}{6} \cdot 6 = 12 \cdot 6$

h = 72

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Example Question #595 : Algebraic Concepts

Which of the following makes this equation true?

6x+4=58

Possible Answers:

x=10

x=9

x=8

x=7

x=12

Correct answer:

x=9

Explanation:

To answer this, we want to solve for x. So, we get

6x+4-4 = 58-4

6x+0=54

6x=54

$\frac{6x}{6} = \frac{54}{6}$

x = 9

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Example Question #596 : Algebraic Concepts

Solve for y in the following equation:

$\frac{y}{9} -4 = 10$

Possible Answers:

y = 126

y = 102

y = 134

y = 86

y = 98

Correct answer:

y = 126

Explanation:

To solve for y, we want y to stand alone. So, we get

$\frac{y}{9} -4 = 10$

$\frac{y}{9} - 4 + 4 = 10 + 4$

$\frac{y}{9}-0=14$

$\frac{y}{9}=14$

$\frac{y}{9} \cdot 9 = 14 \cdot 9$

y=126

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Example Question #601 : Algebraic Concepts

Which of the following makes the equation true:

7y+3=24

Possible Answers:

y=24

y=2

y=21

y=4

y=3

Correct answer:

y=3

Explanation:

To find the answer, we will solve for y. We get

7y+3=24

7y+3-3=24-3

7y+0=21

7y=21

$\frac{7y}{7} = \frac{21}{7}$

y=3

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Example Question #602 : Algebraic Concepts

Solve for x in the following:

9x-6=57

Possible Answers:

x=4

x=7

x=9

x=6

x=8

Correct answer:

x=7

Explanation:

To solve for x, we want x to stand alone. So, we get

9x-6=57

9x-6+6=57+6

9x-0 = 63

9x=63

$\frac{9x}{9} = \frac{63}{9}$

x=7

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Example Question #603 : Algebraic Concepts

Which of the following makes this equation true:

9x+7=70

Possible Answers:

x=7

x=9

x=8

x=5

x=6

Correct answer:

x=7

Explanation:

To answer the question, we will solve for x. We get

9x+7=70

9x+7-7=70-7

9x+0=63

9x=63

$\frac{9x}{9} = \frac{63}{9}$

x=7

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Example Question #604 : Algebraic Concepts

Which of the following makes this equation true:

6x+7=49

Possible Answers:

x=4

x=6

x=8

x=7

x=9

Correct answer:

x=7

Explanation:

To answer the question, we will solve for x. So, we get

6x+7=49

6x+7-7=49-7

6x+0=42

6x=42

$\frac{6x}{6} = \frac{42}{6}$

x=7

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Example Question #605 : Algebraic Concepts

Solve for y:

9y-5=76

Possible Answers:

y=8

y=6

y=7

y=9

y=5

Correct answer:

y=9

Explanation:

To solve for y, we get

9y-5=76

9y-5+5=76+5

9y-0=81

9y=81

$\frac{9y}{9} = \frac{81}{9}$

y=9

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Example Question #606 : Algebraic Concepts

Which of the following makes this equation true:

7y - 4 = 38

Possible Answers:

y=7

y=8

y=9

y=4

y=6

Correct answer:

y=6

Explanation:

To answer the question, we will solve for y. We get

7y - 4 = 38

7y-4+4=38+4

7y-0 = 42

7y=42

$\frac{7y}{7} = \frac{42}{7}$

y=6

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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 #593 : Algebraic Concepts

Example Question #594 : Algebraic Concepts

Example Question #595 : Algebraic Concepts

Example Question #596 : Algebraic Concepts

Example Question #601 : Algebraic Concepts

Example Question #602 : Algebraic Concepts

Example Question #603 : Algebraic Concepts

Example Question #604 : Algebraic Concepts

Example Question #605 : Algebraic Concepts

Example Question #606 : Algebraic Concepts

All ISEE Middle Level Math Resources

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