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ISEE Lower Level Quantitative : How to find the solution to an equation

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : How To Find The Solution To An Equation

Which equation first the description?

Half of the difference of and a number is .

Possible Answers:

2 (20 -x)=6

$\frac{20-x}{2}=6$

$20 \times 2 = x$

$\frac{20-6}{2}=x$

Correct answer:

$\frac{20-x}{2}=6$

Explanation:

In order to choose the right answer, you must know which mathematical operations each of these words refer to:

"Half of": Divide by two

"Difference": Subtract a number

"A number" or "An unknown number": The unknown number is a variable; let's call it

"is" or "is equal to": add an equal sign

So, in the problem "Half of the difference of and a number is ," we are looking for half of "the difference of 20 and a number". That is written as:

$\frac{20-x}{2}$

If that is equal to , the answer is:

$\frac{20-x}{2}=6$

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Example Question #32 : How To Find The Solution To An Equation

Which equation fits the description?

The sum of two different numbers and is .

Possible Answers:

a+b+5=10

$2\times5=10$

x+x+5=10

2x+5=10

Correct answer:

a+b+5=10

Explanation:

In order to choose the right answer, you must know which mathematical operations each of these words refer to:

"Sum": Add numbers

"A number" or "An unknown number": The unknown number is a variable; let's call it

"Is" or "is equal to": add an equals sign

So, in the problem "The sum of two different numbers and is ," we are looking to add two different variables to that will equal .

The answer cannot be 2x+5=10 because the problem asks for two different variables. represents two of the same number.

The answer is a+b+5=10

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Example Question #33 : How To Find The Solution To An Equation

Solve for :

3-2x=5

Possible Answers:

Correct answer:

Explanation:

To solve an equation, first combine like terms. Move the over to the other side of the equation by adding .

3-2x=5

=-3

-2x=2

Next, remove the from the variable by dividing by .

$\frac{-2x}{-2}=\frac{2}{-2}\rightarrow x=-1$

The answer is .

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Example Question #34 : Algebraic Concepts

Solve for :

5x+15=10

Possible Answers:

Correct answer:

Explanation:

To solve an equation, first combine like terms. Move the over to the other side of the equation by adding .

5x+15=10

-15=-15

5x=-5

Next, remove the from the variable by dividing by .

$\frac{5x}{5}=\frac{-5}{5}\rightarrow x=-1$

The answer is .

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Example Question #34 : How To Find The Solution To An Equation

Solve for :

2x-4=10

Possible Answers:

Correct answer:

Explanation:

To solve an equation, first combine like terms. Move the over to the other side of the equation by adding .

2x-4=10

+4=+4

2x=14

Next, remove the from the variable by dividing by .

$\frac{2x}{2}=\frac{14}{2}\rightarrow x=7$

The answer is .

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Example Question #35 : How To Find The Solution To An Equation

The sum of and 6 is 56. What is the number?

Possible Answers:

Correct answer:

Explanation:

"The sum of and is " can be represented by the equation:

x+6=56

To solve an equation, first combine like terms. Move the to the other side of the equation by adding .

x+6=56

-6=-6

x=50

The answer is .

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Example Question #37 : Algebraic Concepts

Solve for :

7-2x=5

Possible Answers:

Correct answer:

Explanation:

To solve an equation, first combine like terms. Move the over to the other side of the equation by adding .

7-2x=5

=-7

-2x=-2

Next, remove the from the variable by dividing by .

$\frac{-2x}{-2}=\frac{-2}{-2}\rightarrow x=1$

The answer is .

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Example Question #36 : Algebraic Concepts

What is the value of in the equation $\frac{x}{5}+10=22$ ?

Possible Answers:

$\frac{12}{5}$

Correct answer:

Explanation:

To solve for , you must get it alone on one side.

$\frac{x}{5}+10=22$

Start by subtracting both sides by .

$\frac{x}{5}=12$

Multiply both sides by .

x=60

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Example Question #37 : Algebraic Concepts

What is the value of in the equation $\frac{x}{5}+12=5$ ?

Possible Answers:

Correct answer:

Explanation:

$\frac{x}{5}+12=5$

Start by subtracting from both sides.

$\frac{x}{5}=-7$

Multiply both sides by .

x=(-7)(5)=-35

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Example Question #717 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

What is the value of in the equation 3x-4=20 ?

Possible Answers:

$\frac{16}{3}$

Correct answer:

Explanation:

To solve for , you will need to get it alone on one side.

3x-4=20

Start by adding to both sides.

3x=24

Divide both sides by .

x=8

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : How to find the solution to an equation

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #31 : How To Find The Solution To An Equation

Example Question #32 : How To Find The Solution To An Equation

Example Question #33 : How To Find The Solution To An Equation

Example Question #34 : Algebraic Concepts

Example Question #34 : How To Find The Solution To An Equation

Example Question #35 : How To Find The Solution To An Equation

Example Question #37 : Algebraic Concepts

Example Question #36 : Algebraic Concepts

Example Question #37 : Algebraic Concepts

Example Question #717 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

All ISEE Lower Level Quantitative Resources

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