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ISEE Middle Level Math : Algebraic Concepts

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All ISEE Middle Level Math Resources

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Example Questions

Example Question #2721 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for h in the following equation:

$\frac{h}{9} = 13$

Possible Answers:

h = 108

h = 117

h = 37

h = 4

h = 21

Correct answer:

h = 117

Explanation:

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

So, we get

$\frac{h}{9} = 13$

$\frac{h}{9} \cdot 9 = 13 \cdot 9$

h = 117

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Example Question #2722 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Determine the solution to the following equation: 3x-9 = 2x-5

Possible Answers:

$\frac{4}{5}$

Correct answer:

Explanation:

Group the x-terms on one side of the equation, and the integers on the other side.

Subtract on both sides.

3x-9 -(2x)= 2x-5-(2x)

x- 9 = -5

Add 9 on both sides.

x- 9+9 = -5+9

The answer is: x=4

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Example Question #611 : Algebraic Concepts

Which of the following makes this equation true:

5x+3=23

Possible Answers:

x=6

x=5

x=3

x=4

x=7

Correct answer:

x=4

Explanation:

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

5x+3=23

5x+3-3=23-3

5x+0=20

5x=20

$\frac{5x}{5} = \frac{20}{5}$

x=4

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Example Question #612 : Algebraic Concepts

Solve for $\small m$ .

$\small 2m-4=6$

Possible Answers:

$\small m=7$

$\small m=3$

$\small m=6$

$\small m=5$

$\small m=4$

Correct answer:

$\small m=5$

Explanation:

To solve for $\small m$ , we must isolate the variable.

The first step is to add four to each side, so we are left with

$\small 2m=10$ .

Finally, divide each side by 2 and we are left with

$\small m=5$ .

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Example Question #615 : Algebraic Concepts

Solve for $\small a$ .

$\small 3a+5=35$

Possible Answers:

$\small a=5$

$\small a=3$

$\small a=10$

$\small a=6$

$\small a=8$

Correct answer:

$\small a=10$

Explanation:

To solve for $\small p$ , we must isolate the variable.

The first step is to subtract 5 from each side, so we are left with

$\small 3p=30$ .

Finally, divide each side by 3 and we are left with

$\small p=10$ .

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Example Question #403 : How To Find The Solution To An Equation

Solve for $\small d$ .

$\small 3d+2=d+4$

Possible Answers:

$\small d=1$

$\small d=2$

$\small d=3$

$\small d=4$

$\small d=0$

Correct answer:

$\small d=1$

Explanation:

To solve for $\small d$ , we must get the variable by itself.

The first step is to subtract 2 from both sides of the equation, so we are left with

$\small 3d=d+2$ .

Then we subtract $\small d$ from both sides of the equation, so we are left with

$\small 2d=2$ .

Finally, we divide each side by 2 and are left with

$\small d=1$ .

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Example Question #613 : Algebraic Concepts

Solve for :

4x+8=4

Possible Answers:

x=1

x=-1

x=-2

x=0

Correct answer:

x=-1

Explanation:

4x+8=4

4x+8-8=4-8

4x=-4

$\frac{4x}{4}=\frac{-4}{4}$

x=-1

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Algebraic Concepts

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #2721 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #2722 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #611 : Algebraic Concepts

Example Question #612 : Algebraic Concepts

Example Question #615 : Algebraic Concepts

Example Question #403 : How To Find The Solution To An Equation

Example Question #613 : Algebraic Concepts

All ISEE Middle Level Math Resources

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