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

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

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All ISEE Lower Level Math Resources

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Example Questions

Example Question #101 : How To Find The Solution To An Equation

Fill in the blank of this equation.

$\square + 10 = 19$

Possible Answers:

Correct answer:

Explanation:

To fill in the blank, we need to think about what number will make this equation true. So,

$\square + 10 = 19$

What number plus 10 will give us 19? We know that when you take 9 and add 10, you will get 19. So,

9+10=19

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Example Question #102 : Equations

Solve:

x + 17 = 0

Possible Answers:

x = -19

x = -15

x = -12

x = -17

x = 17

Correct answer:

x = -17

Explanation:

To solve, use algebra. Your goal is to isolate the variable, and remember that you can do anything to the equation as long as you do it to both sides:

x + 17 = 0

x + 17 - 17 = 0 - 17

x = -17

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Example Question #103 : Equations

Solve:

y - 14 = 14

Possible Answers:

y = 48

y = 24

y = 18

y = 28

y = 38

Correct answer:

y = 28

Explanation:

To solve, use algebra. Your goal is to isolate the variable, and remember that you can do anything to the equation as long as you do it to both sides:

y - 14 = 14

y - 14 + 14 = 14 + 14

y = 28

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Example Question #104 : Equations

Solve:

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

Possible Answers:

x = -28

x = 28

x = 14

x = 32

x = 34

Correct answer:

x = 28

Explanation:

To solve, use algebra. Your goal is to isolate the variable, and remember that you can do anything to the equation as long as you do it to both sides:

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

$\frac{x}{2} * 2 = 14 * 2$

x = 28

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Example Question #105 : Equations

Solve:

m - 15 = 9

Possible Answers:

m = 34

m = 24

m = - 24

m = 15

m = 18

Correct answer:

m = 24

Explanation:

To solve, use algebra. Your goal is to isolate the variable, and remember that you can do anything to the equation as long as you do it to both sides:

m - 15 = 9

m - 15 + 15 = 9 + 15

m = 24

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Example Question #102 : Algebraic Concepts

Determine the value of .

-3x-6 =15

Possible Answers:

x = 7

x = -3

x = 3

x = -7

Correct answer:

x = -7

Explanation:

There are two ways to determine the value of in this problem. The first would be to look at your answer choices and see what value of makes the statement true.

-3(-7) -6 = 15

x = -7

The second way would be to isolate the variable with the coefficient by adding to both sides of the equation:

(-3x) -6 + 6 = 15 + 6

-3x = 21

Then divide both sides by the coefficient, which is -3.

$\frac{-3x}{-3} = \frac{21}{-3}$

x = -7

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Example Question #106 : Equations

Evaluate the expression if y = 8

$2y^{2} -4y-15$

Possible Answers:

175

Correct answer:

Explanation:

To evaluate this expression, insert 8 for the value of each represented in the equation.

$2 (8)^{2} - (4 x 8) -15 =$

2 (8x8) -32 -15 =

2 (64) -32-15 =

128 - 47 = 81

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Example Question #101 : How To Find The Solution To An Equation

Solve for

12 + x = -16

Possible Answers:

Correct answer:

Explanation:

To solve for , subtract from both sides of the equation.

12 - 12 + x = -16 -12

x = -28

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Example Question #102 : How To Find The Solution To An Equation

Solve for n.

$\frac{n}{6} = 9$

Possible Answers:

$n = \frac{6}{9}$

n = 15

n = 3

n = 54

Correct answer:

n = 54

Explanation:

To solve this equation multiply both sides by

$\frac{n}{6} (\frac{6}{1}) = \frac{9}{1} (\frac{6}{1})$

n = 54

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Example Question #109 : Equations

Solve for :

8y = 12

Possible Answers:

$y = 1\frac{1}{2}$

y =12

$y = \frac{2}{3}$

y = 8

Correct answer:

$y = 1\frac{1}{2}$

Explanation:

To solve the equation

8y = 12

divide both sides by the coefficient of , which is

$\frac{8y}{8} = \frac{12}{8}$

$y = 1\frac{4}{8}$

Reduce to simplest form:

$y = 1\frac{1}{2}$

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All ISEE Lower Level Math Resources

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

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #101 : How To Find The Solution To An Equation

Example Question #102 : Equations

Example Question #103 : Equations

Example Question #104 : Equations

Example Question #105 : Equations

Example Question #102 : Algebraic Concepts

Example Question #106 : Equations

Example Question #101 : How To Find The Solution To An Equation

Example Question #102 : How To Find The Solution To An Equation

Example Question #109 : Equations

All ISEE Lower Level Math Resources

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