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ISEE Lower Level Math : Algebraic Concepts

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Example Questions

Example Question #81 : How To Find The Solution To An Equation

If 3a+9=4b , and b=24 , then what is the value of ?

Possible Answers:

Correct answer:

Explanation:

If 3a+9=4b , and b=24 , the first step is to plug in as the value of .

$3a+9=4\cdot24$

3a+9=96

Subtract from each side.

3a=87

Divide each side by 3.

a=29

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Example Question #82 : Equations

If 2w-13=5v , what is the value of if w=28 ?

Possible Answers:

Correct answer:

Explanation:

If 2w-13=5v , and w=28 , the first step is to plug in for :

$2\cdot 28-13=5v$

48-13=5v

35=5v

Divide each side by .

7=v

v=7

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Example Question #81 : How To Find The Solution To An Equation

Simplify the expression below:

$5(3x-4)-4x(2\cdot 3)+13$

Possible Answers:

9x+7

-9x-7

-9x+7

9x-7

Correct answer:

-9x+7

Explanation:

The first step is to simplifying $5(3x-4)-4x(2\cdot 3)+13$ is to apply the distributive property to the first parenthetical.

$15x-20-4x(2\cdot 3)+13$

Next, we reduce the multiplication expression in the second parenthetical.

15x-20-4x(6)+13

15x-20-24x+13

Next, we combine like terms.

-9x-7

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Example Question #84 : Equations

What is the value of in the equation below?

5x+4+3=27

Possible Answers:

3.5

Correct answer:

Explanation:

To solve for the equation, follow the steps below:

5x+4+3=27

5x+7=27

Subtract from each side.

5x=20

Divide each side by .

x=4 .

Therefore, is the correct answer.

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Example Question #85 : Equations

Solve for .

6y+14=9y-3

Possible Answers:

$\frac{17}{3}$

Correct answer:

$\frac{17}{3}$

Explanation:

To solve for , follow the steps below:

6y+14=9y-3

Add to each side.

6y+17=9y

Subtract from each side.

17=3y

Divide each side by .

$y=\frac{17}{3}$

Therefore, the correct answer is $\frac{17}{3}$ .

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Example Question #81 : How To Find The Solution To An Equation

Solve for in the equation below:

$\frac{w}{8}+\frac{1}{4}=1$

Possible Answers:

Correct answer:

Explanation:

The first step to solving this equation is to make sure the fractions have common denominators.

$\frac{w}{8}+\frac{1}{4}=1$

Given that $\frac{1}{4}=\frac{2}{8}$ , the equation can be rewritten as:

$\frac{w}{8}+\frac{2}{8}=1$

Since $\frac{8}{8}$ is equal to , the value of must be because

$\frac{6}{8}+\frac{2}{8}=1$

Therefore, is the correct answer.

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Example Question #81 : Equations

What is the value of x if 5 less than x is equal to 14?

Possible Answers:

Correct answer:

Explanation:

if 5 less than x is equal to 14, then x-5=14 .

To solve this, 5 should be added to each side of the equation, which results in x=19 .

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Example Question #88 : Equations

Solve for x:

$7x-18=41+2^{2}$

Possible Answers:

Correct answer:

Explanation:

$7x-18=41+2^{2}$

First, square 2:

7x-18=41+4

Next, add together 41 and 4:

7x-18=45

Add 18 to both sides:

7x=63

Divide both sides by 7:

x=9

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Example Question #89 : Equations

Solve for :

4x - 3=10x + 15

Possible Answers:

4.5

Correct answer:

Explanation:

First, "move" all of the variables to one side of the equation:

4x -10x - 3= 15

Next, "move" the other numbers to the right side of the equation:

4x -10x = 15 + 3

Simplify:

-6x = 18

Now, divide both sides by :

$\frac{-6x}{-6} = \frac{18}{-6}$

Thus, you get:

x = -3

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Example Question #90 : Equations

Which number can fill in the blank to complete the equation correctly?

___ - 9 + 12 = 8 * 3

Possible Answers:

Correct answer:

Explanation:

Fill in the blank with a number that will make the equation true. On the right side, $8\times3=24$ , so the left side needs to equal also. "Something" -9+12=24 . If you test the answers, is the number that makes the equation true, so is the correct answer.

Alternatively, $\small -9 + 12$ is the same as , so "something" +3=24 . That "something" would be , so is the correct answer.

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Algebraic Concepts

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #81 : How To Find The Solution To An Equation

Example Question #82 : Equations

Example Question #81 : How To Find The Solution To An Equation

Example Question #84 : Equations

Example Question #85 : Equations

Example Question #81 : How To Find The Solution To An Equation

Example Question #81 : Equations

Example Question #88 : Equations

Example Question #89 : Equations

Example Question #90 : Equations

All ISEE Lower Level Math Resources

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