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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 #21 : How To Find The Solution To An Equation

7(6+11+4)=

Possible Answers:

127

147

Correct answer:

147

Explanation:

First, add up the numbers in the parentheses:

7(6+11+4)=7(21)

Then, multiply:

7(21)=147

The answer is 147.

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Example Question #22 : How To Find The Solution To An Equation

Sove for :

2x + 8 = 26

Possible Answers:

x= 17

x=34

x = 9

x= 12

x = 18

Correct answer:

x = 9

Explanation:

2x + 8 = 26

2x + 8 -8= 26-8

2x = 18

$2x \div 2 = 18\div 2$

x = 9

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Example Question #23 : How To Find The Solution To An Equation

Solve for :

-3 (x + 9) = 36

Possible Answers:

x=-3

x=15

x=3

x= -21

x=-15

Correct answer:

x= -21

Explanation:

-3 (x + 9) = 36

$-3 \cdot x +\left ( -3 \right ) \cdot 9 = 36$

-3 x -27= 36

-3 x -27+27 = 36+27

-3 x = 63

$-3 x \div (-3)= 63\div (-3)$

x= -21

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Example Question #24 : How To Find The Solution To An Equation

Solve for :

4x + 15 = x + 84

Possible Answers:

x=33

$x = 17 \frac{1}{4}$

$x= 24\frac{3}{4}$

x= 23

$x = 13 \frac{4}{5}$

Correct answer:

x= 23

Explanation:

4x + 15 = x + 84

4x -x + 15 = x -x + 84

3x+ 15 = 84

3x+ 15 -15= 84-15

3x= 69

$3x \div 3= 69\div 3$

x= 23

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Example Question #25 : How To Find The Solution To An Equation

Solve for :

5x - 15 = x + 84

Possible Answers:

$x = 17\frac{1}{4}$

$x=11\frac{1}{2}$

$x = 24\frac{3}{4}$

$x= 13\frac{4}{5}$

$x=16\frac{1}{2}$

Correct answer:

$x = 24\frac{3}{4}$

Explanation:

5x - 15 = x + 84

5x -x- 15 = x-x + 84

4x- 15 = 84

4x-15+ 15 = 84+15

4x = 99

$4x \div 4= 99\div 4$

$x = 24\frac{3}{4}$

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Example Question #26 : How To Find The Solution To An Equation

Nathan is riding his bike to baseball practice. If he needs to travel 12 miles, how long will it take him to get there if he pedals at a rate of 5 miles per hour?

Possible Answers:

$4\ hours$

$1\ hour$

$2\ hours\ 24\ minutes$

$2\ hours$

Correct answer:

$2\ hours\ 24\ minutes$

Explanation:

Divide:

$12\div 5=2.4$

Answer: It will take Nathan at least 2 hours, plus an additional $0.4\times 60=24\ minutes$ .

So it will take him 2 hours and 24 minutes.

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Example Question #27 : How To Find The Solution To An Equation

3a+4=34

What is a?

Possible Answers:

Correct answer:

Explanation:

First, subtract:

3a+4-4=34-4

3a=30

Then divide each side by 3:

$\frac{3a}{3}=\frac{30}{3}$

a=10

Answer: 10

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Example Question #28 : How To Find The Solution To An Equation

9b+6=24

What is b?

Possible Answers:

Correct answer:

Explanation:

First, subtract 6 from each side:

9b+6-6=24-6

9b=18

Then, divide each side by 9:

$\frac{9b}{9}=\frac{18}{9}$

b=2

Answer: 2

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Example Question #29 : How To Find The Solution To An Equation

4b+7=55

What is b?

Possible Answers:

Correct answer:

Explanation:

First, subtract 7 from each side:

4b+7-7=55-7

4b=48

Then, divide each side by 4:

$\frac{4b}{4}=\frac{48}{4}$

b=12

Answer: 12

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Example Question #30 : How To Find The Solution To An Equation

7x+6=48

What is ?

Possible Answers:

Correct answer:

Explanation:

First subtract 6 from both sides:

7x+6-6=48-6

The, divide by 7 on each side:

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

x=6

Answer: 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 #21 : How To Find The Solution To An Equation

Example Question #22 : How To Find The Solution To An Equation

Example Question #23 : How To Find The Solution To An Equation

Example Question #24 : How To Find The Solution To An Equation

Example Question #25 : How To Find The Solution To An Equation

Example Question #26 : How To Find The Solution To An Equation

Example Question #27 : How To Find The Solution To An Equation

Example Question #28 : How To Find The Solution To An Equation

Example Question #29 : How To Find The Solution To An Equation

Example Question #30 : How To Find The Solution To An Equation

All ISEE Middle Level Math Resources

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