ISEE Middle Level Quantitative : Orders of Operations

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

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Example Questions

Example Question #1131 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Solve:

\(\displaystyle 3\times2+(10-8)\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 14\)

\(\displaystyle 10\)

\(\displaystyle 8\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 8\)

Explanation:

\(\displaystyle 3\times2+(10-8)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication, and then the addition. 

\(\displaystyle 10-8=2\)

\(\displaystyle 3\times2=6\)

\(\displaystyle 6+2=8\)

 

Example Question #71 : Order Of Operations

Solve:

\(\displaystyle (8+4)\times2\)

Possible Answers:

\(\displaystyle 26\)

\(\displaystyle 24\)

\(\displaystyle 14\)

\(\displaystyle 20\)

\(\displaystyle 16\)

Correct answer:

\(\displaystyle 24\)

Explanation:

\(\displaystyle (8+4)\times2\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication. 

\(\displaystyle 8+4=12\)

\(\displaystyle 12\times2=24\)

Example Question #14 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle (7+3)\times10\)

 

Possible Answers:

\(\displaystyle 137\)

\(\displaystyle 73\)

\(\displaystyle 100\)

\(\displaystyle 37\)

\(\displaystyle 80\)

Correct answer:

\(\displaystyle 100\)

Explanation:

\(\displaystyle (7+3)\times10\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication. 

\(\displaystyle 7+3=10\)

\(\displaystyle 10\times10=100\)

Example Question #11 : How To Solve Two Step Equations

Solve:

\(\displaystyle 54-(3\times9)\)

 

Possible Answers:

\(\displaystyle 105\)

\(\displaystyle 33\)

\(\displaystyle 27\)

\(\displaystyle 459\)

\(\displaystyle 327\)

Correct answer:

\(\displaystyle 27\)

Explanation:

\(\displaystyle 54-(3\times9)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the subtraction. 

\(\displaystyle 3\times9=27\)

\(\displaystyle 54-27=27\)

Example Question #12 : How To Solve Two Step Equations

Solve:

\(\displaystyle 7\times8+(46-8)\)

 

 

Possible Answers:

\(\displaystyle 110\)

\(\displaystyle 97\)

\(\displaystyle 94\)

\(\displaystyle 100\)

\(\displaystyle 103\)

Correct answer:

\(\displaystyle 94\)

Explanation:

\(\displaystyle 7\times8+(46-8)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication, and then the addition. 

\(\displaystyle 46-8=38\)

\(\displaystyle 7\times8=56\)

\(\displaystyle 56+38=94\)

 

Example Question #21 : Algebra

Solve:

\(\displaystyle 3\times(13+25)\)

 

Possible Answers:

\(\displaystyle 64\)

\(\displaystyle 84\)

\(\displaystyle 39\)

\(\displaystyle 114\)

\(\displaystyle 120\)

Correct answer:

\(\displaystyle 114\)

Explanation:

\(\displaystyle 3\times(13+25)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication. 

\(\displaystyle 13+25=38\)

\(\displaystyle 3\times38=114\)

Example Question #22 : Algebra

Solve:

\(\displaystyle 3\times (75-25)\div5\)

 

Possible Answers:

\(\displaystyle 50\)

\(\displaystyle 40\)

\(\displaystyle 60\)

\(\displaystyle 70\)

\(\displaystyle 30\)

Correct answer:

\(\displaystyle 30\)

Explanation:

\(\displaystyle 3\times (75-25)\div5\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the division.

\(\displaystyle 75-25=50\)

\(\displaystyle 3\times50=150\)

\(\displaystyle 150\div5=30\) 

Example Question #15 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 3\times(47-13)\)

 

Possible Answers:

\(\displaystyle 132\)

\(\displaystyle 102\)

\(\displaystyle 128\)

\(\displaystyle 100\)

\(\displaystyle 97\)

Correct answer:

\(\displaystyle 102\)

Explanation:

\(\displaystyle 3\times(47-13)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication. 

\(\displaystyle 47-13=34\)

\(\displaystyle 3\times34=102\)

Example Question #23 : Algebra

Solve:

\(\displaystyle 36+(46-11)\div5\)

 

Possible Answers:

\(\displaystyle 39\)

\(\displaystyle 23\)

\(\displaystyle 32\)

\(\displaystyle 14\)

\(\displaystyle 43\)

Correct answer:

\(\displaystyle 43\)

Explanation:

\(\displaystyle 36+(46-11)\div5\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the division, and then the addition. 

\(\displaystyle 46-11=35\)

\(\displaystyle 35\div5=7\)

\(\displaystyle 36+7=43\)

Example Question #21 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 12\times(94-78)\)

 

Possible Answers:

\(\displaystyle 200\)

\(\displaystyle 192\)

\(\displaystyle 147\)

\(\displaystyle 186\)

\(\displaystyle 132\)

Correct answer:

\(\displaystyle 192\)

Explanation:

\(\displaystyle 12\times(94-78)\)

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication. 

\(\displaystyle 94-78=16\)

\(\displaystyle 12\times16=192\)

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