ISEE Middle Level Math : Equations

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

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Example Questions

Example Question #171 : Equations

Solve for \(\displaystyle y\):

\(\displaystyle 22y=110\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 88\)

\(\displaystyle 7\)

\(\displaystyle 6\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 5\)

Explanation:

Divide each side by \(\displaystyle 22\):

\(\displaystyle 22y\div 22=110\div 22\)

\(\displaystyle y=5\)

Answer: \(\displaystyle 5\)

Example Question #171 : Equations

Solve for \(\displaystyle z\):

\(\displaystyle 8z=176\)

Possible Answers:

\(\displaystyle 21\)

\(\displaystyle 168\)

\(\displaystyle 23\)

\(\displaystyle 20\)

\(\displaystyle 22\)

Correct answer:

\(\displaystyle 22\)

Explanation:

Divide each side by \(\displaystyle 8\):

\(\displaystyle 8z\div 8=176\div 8\)

\(\displaystyle z=22\)

Answer: \(\displaystyle 22\)

 

 

Example Question #975 : Concepts

Solve for \(\displaystyle w\):

\(\displaystyle 18w=270\)

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 12\)

\(\displaystyle 16\)

\(\displaystyle 10\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 15\)

Explanation:

Divide each side by \(\displaystyle 18\):

\(\displaystyle 18w\div 18=270\div 18\)

\(\displaystyle w=15\)

Answer: \(\displaystyle 15\)

Example Question #171 : Equations

Solve for x:

\(\displaystyle 25x=425\)

Possible Answers:

\(\displaystyle 22\)

\(\displaystyle 20\)

\(\displaystyle 19\)

\(\displaystyle 17\)

Correct answer:

\(\displaystyle 17\)

Explanation:

Divide each side by 25:

\(\displaystyle 25x\div 25=425\div 25\)

\(\displaystyle x=17\)

Answer:\(\displaystyle 17\)

Example Question #172 : Equations

Solve for g:

\(\displaystyle 30g=1230\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 40\)

\(\displaystyle 14\)

\(\displaystyle 41\)

Correct answer:

\(\displaystyle 41\)

Explanation:

Divide each side by 30:

\(\displaystyle 30g\div 30=1230\div30\)

\(\displaystyle g=41\)

Answer:\(\displaystyle 41\)

Example Question #173 : Equations

Solve for h:

\(\displaystyle 45h=585\)

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 13\)

\(\displaystyle 15\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 13\)

Explanation:

Divide each side by 45:

\(\displaystyle 45h\div 45=585\div45\)

\(\displaystyle h=45\)

Answer:\(\displaystyle 45\)

Example Question #174 : Equations

Solve for k:

\(\displaystyle 33k=297\)

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 9\)

\(\displaystyle 8\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 9\)

Explanation:

Divide each side by 33:

\(\displaystyle 33k\div 33=297\div33\)

\(\displaystyle k=9\)

Answer:\(\displaystyle 9\)

 

 

Example Question #175 : How To Find The Solution To An Equation

Solve for \(\displaystyle y\):

\(\displaystyle 50y=600\)

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 8\)

\(\displaystyle 14\)

\(\displaystyle 13\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 12\)

Explanation:

To solve divide each side by \(\displaystyle 50\):

\(\displaystyle 50y\div 50=600\div 50\)

\(\displaystyle y=12\)

Answer: \(\displaystyle 12\)

Example Question #175 : How To Find The Solution To An Equation

Solve for \(\displaystyle f\):

\(\displaystyle 40f=520\)

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle 12\)

\(\displaystyle 11\)

\(\displaystyle 17\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle 13\)

Explanation:

To solve divide each side by \(\displaystyle 40\):

\(\displaystyle 40f\div 40=520\div 40\)

\(\displaystyle f=13\)

Answer: \(\displaystyle 13\)

 

Example Question #982 : Concepts

Solve for \(\displaystyle r\):

\(\displaystyle 15r=75\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 15\)

\(\displaystyle 7\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 5\)

Explanation:

To solve divide each side by \(\displaystyle 15\):

\(\displaystyle 15r\div 15=75\div 15\)

\(\displaystyle r=5\)

Answer: \(\displaystyle 5\)

 

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