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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Example Questions

Example Question #161 : How To Find The Solution To An Equation

Solve for h:

\displaystyle 51h=204

Possible Answers:

\displaystyle 179

\displaystyle 53

\displaystyle 14

\displaystyle 11

\displaystyle 4

Correct answer:

\displaystyle 4

Explanation:

To solve divide both sides by 51:

\displaystyle 51h\div 51=204\div 51

\displaystyle h=4

Answer: \displaystyle 4

 

 

 

 

Example Question #162 : How To Find The Solution To An Equation

Solve for \displaystyle x:

\displaystyle 4x=68

Possible Answers:

\displaystyle 16

\displaystyle 17

\displaystyle 8

\displaystyle 64

\displaystyle 72

Correct answer:

\displaystyle 17

Explanation:

To solve, divide each side by \displaystyle 4:

\displaystyle 4x\div 4=68\div 4

\displaystyle x=17

Answer: \displaystyle 17

Example Question #163 : How To Find The Solution To An Equation

Solve for \displaystyle k:

\displaystyle 12k=144

Possible Answers:

\displaystyle 12

\displaystyle 6

\displaystyle 10

\displaystyle 21

\displaystyle 11

Correct answer:

\displaystyle 12

Explanation:

To solve, divide each side by \displaystyle 12:

\displaystyle 12k\div 12=144\div 12

\displaystyle k=12

Answer: \displaystyle 12

 

 

Example Question #370 : Algebraic Concepts

Solve for \displaystyle p:

\displaystyle 3p=198

Possible Answers:

\displaystyle 37

\displaystyle 66

\displaystyle 69

\displaystyle 33

\displaystyle 160

Correct answer:

\displaystyle 66

Explanation:

To solve, divide each side by \displaystyle 3:

\displaystyle 3p\div 3=198\div 3

\displaystyle p=66

Answer: \displaystyle 66

Example Question #164 : How To Find The Solution To An Equation

Solve for \displaystyle t:

\displaystyle 90t=135

 

Possible Answers:

\displaystyle 15

\displaystyle 20

None of these

\displaystyle 0.5

\displaystyle 1.5

Correct answer:

\displaystyle 1.5

Explanation:

To solve, divide each side by \displaystyle 90:

\displaystyle 90t\div 90=135\div 90

\displaystyle t=1.5

Answer: \displaystyle 1.5

Example Question #165 : How To Find The Solution To An Equation

Solve for \displaystyle s:

\displaystyle 4s=128

Possible Answers:

\displaystyle 32

\displaystyle 14

\displaystyle 35

\displaystyle 36

\displaystyle 31

Correct answer:

\displaystyle 32

Explanation:

To solve, divide both sides of the equation by 4:

\displaystyle 4s\div 4=128\div4

\displaystyle s=32

Answer: \displaystyle 32

Example Question #166 : How To Find The Solution To An Equation

Solve for \displaystyle f

\displaystyle 6f=138

Possible Answers:

\displaystyle 21

\displaystyle 22

\displaystyle 26

\displaystyle 24

\displaystyle 23

Correct answer:

\displaystyle 23

Explanation:

To solve, divide both sides of the equation by 6:

\displaystyle 6f=128\div6

\displaystyle f=23

Example Question #167 : How To Find The Solution To An Equation

Solve for \displaystyle n:

\displaystyle 85n=255

Possible Answers:

\displaystyle 4

\displaystyle 6

\displaystyle 2

\displaystyle 3

\displaystyle 5

Correct answer:

\displaystyle 3

Explanation:

To solve, divide each side by 85:

\displaystyle 85n\div 85=255\div85

\displaystyle n=3

Answer: \displaystyle 3

Example Question #973 : Concepts

Solve for \displaystyle y:

\displaystyle 7y=497

Possible Answers:

\displaystyle 71

\displaystyle 70

\displaystyle 75

\displaystyle 85

\displaystyle 16

Correct answer:

\displaystyle 71

Explanation:

To solve, divide both sides of the equation by 7:

\displaystyle 7y\div 7=497\div7

\displaystyle y=71

Answer: \displaystyle 71

Example Question #974 : Concepts

Solve for \displaystyle x:

\displaystyle 16x=96

Possible Answers:

\displaystyle 5

\displaystyle 3

\displaystyle 80

\displaystyle 6

\displaystyle 8

Correct answer:

\displaystyle 6

Explanation:

Divide each side by \displaystyle 16:

\displaystyle 16x\div 16=96\div 16

\displaystyle x=6

Answer: \displaystyle 6

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