HSPT Math : How to solve two-step equations

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #11 : How To Solve Two Step Equations

Solve:

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

 

Possible Answers:

\(\displaystyle 100\)

\(\displaystyle 37\)

\(\displaystyle 73\)

\(\displaystyle 137\)

\(\displaystyle 80\)

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

Solve:

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

 

Possible Answers:

\(\displaystyle 327\)

\(\displaystyle 33\)

\(\displaystyle 27\)

\(\displaystyle 105\)

\(\displaystyle 459\)

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 : Orders Of Operations

Solve:

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

 

 

Possible Answers:

\(\displaystyle 94\)

\(\displaystyle 110\)

\(\displaystyle 103\)

\(\displaystyle 100\)

\(\displaystyle 97\)

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 #13 : Orders Of Operations

Solve:

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

 

Possible Answers:

\(\displaystyle 39\)

\(\displaystyle 120\)

\(\displaystyle 114\)

\(\displaystyle 84\)

\(\displaystyle 64\)

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 #131 : Hspt Mathematics

Solve:

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

 

Possible Answers:

\(\displaystyle 50\)

\(\displaystyle 60\)

\(\displaystyle 30\)

\(\displaystyle 70\)

\(\displaystyle 40\)

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 #132 : Hspt Mathematics

Solve:

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

 

Possible Answers:

\(\displaystyle 100\)

\(\displaystyle 102\)

\(\displaystyle 97\)

\(\displaystyle 128\)

\(\displaystyle 132\)

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 #14 : Orders Of Operations

Solve:

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

 

Possible Answers:

\(\displaystyle 39\)

\(\displaystyle 14\)

\(\displaystyle 43\)

\(\displaystyle 32\)

\(\displaystyle 23\)

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 #12 : How To Solve Two Step Equations

Solve:

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

 

Possible Answers:

\(\displaystyle 186\)

\(\displaystyle 147\)

\(\displaystyle 200\)

\(\displaystyle 192\)

\(\displaystyle 132\)

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. 

\(\displaystyle 94-78=16\)

\(\displaystyle 12\times16=192\)

Example Question #13 : How To Solve Two Step Equations

Solve:

\(\displaystyle 100\div(100-75)\)

 

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 55\)

\(\displaystyle 25\)

\(\displaystyle 50\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 4\)

Explanation:

\(\displaystyle 100\div(100-75)\)

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

\(\displaystyle 100-75=25\)\(\displaystyle 100-25=75\)

\(\displaystyle 100\div25=4\)

Example Question #21 : Orders Of Operations

Solve:

\(\displaystyle 3+(49-34)\times 4\)

 

Possible Answers:

\(\displaystyle 78\)

\(\displaystyle 60\)

\(\displaystyle 54\)

\(\displaystyle 72\)

\(\displaystyle 63\)

Correct answer:

\(\displaystyle 63\)

Explanation:

\(\displaystyle 3+(49-34)\times 4\)

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

\(\displaystyle 49-34=15\)

\(\displaystyle 15\times4=60\)

\(\displaystyle 3+60=63\)

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