HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #52 : How To Solve Two Step Equations

Solve:

\(\displaystyle 49+(84-52)\div8\)

 

Possible Answers:

\(\displaystyle 53\)

\(\displaystyle 49\)

\(\displaystyle 65\)

\(\displaystyle 56\)

\(\displaystyle 58\)

Correct answer:

\(\displaystyle 53\)

Explanation:

\(\displaystyle 49+(84-52)\div8\)

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

\(\displaystyle 84-52=32\)

\(\displaystyle 32\div8=4\)

\(\displaystyle 49+4=53\)

Example Question #53 : How To Solve Two Step Equations

Solve:

\(\displaystyle 7\times(83-72)\)

 

Possible Answers:

\(\displaystyle 35\)

\(\displaystyle 21\)

\(\displaystyle 77\)

\(\displaystyle 42\)

\(\displaystyle 49\)

Correct answer:

\(\displaystyle 77\)

Explanation:

\(\displaystyle 7\times(83-72)\)

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

\(\displaystyle 83-72=11\)

\(\displaystyle 7\times11=77\)

Example Question #54 : How To Solve Two Step Equations

Solve:

\(\displaystyle 120\div(97-37)\)

 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 4\)

\(\displaystyle 6\)

\(\displaystyle 10\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 2\)

Explanation:

\(\displaystyle 120\div(97-37)\)

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

\(\displaystyle 97-37=60\)

\(\displaystyle 120\div60=2\)

Example Question #55 : How To Solve Two Step Equations

Solve:

\(\displaystyle 32+(45-38)\times 7\)

 

Possible Answers:

\(\displaystyle 81\)

\(\displaystyle 104\)

\(\displaystyle 73\)

\(\displaystyle 67\)

\(\displaystyle 97\)

Correct answer:

\(\displaystyle 81\)

Explanation:

\(\displaystyle 32+(45-38)\times 7\)

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

\(\displaystyle 45-38=7\)

\(\displaystyle 7\times7=49\)

\(\displaystyle 32+49=81\)

Example Question #56 : How To Solve Two Step Equations

Solve:

\(\displaystyle 121\div(84-73)\)

 

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 13\)

\(\displaystyle 27\)

\(\displaystyle 11\)

\(\displaystyle 22\)

Correct answer:

\(\displaystyle 11\)

Explanation:

\(\displaystyle 121\div(84-73)\)

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

\(\displaystyle 84-73=11\)

\(\displaystyle 121\div11=11\)

Example Question #57 : How To Solve Two Step Equations

Solve:

\(\displaystyle 32+4\times5+(73-39)\)

 

Possible Answers:

\(\displaystyle 83\)

\(\displaystyle 76\)

\(\displaystyle 79\)

\(\displaystyle 86\)

\(\displaystyle 65\)

Correct answer:

\(\displaystyle 86\)

Explanation:

\(\displaystyle 32+4\times5+(73-39)\)

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

\(\displaystyle 73-39=34\)

\(\displaystyle 4\times5=20\)

\(\displaystyle 32+20+34=86\)

Example Question #58 : How To Solve Two Step Equations

Solve:

\(\displaystyle 6\times3+(37+48)\)

 

Possible Answers:

\(\displaystyle 100\)

\(\displaystyle 111\)

\(\displaystyle 108\)

\(\displaystyle 117\)

\(\displaystyle 103\)

Correct answer:

\(\displaystyle 103\)

Explanation:

\(\displaystyle 6\times3+(37+48)\)

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

\(\displaystyle 37-48=85\)

\(\displaystyle 6\times3=18\)

\(\displaystyle 18+85=103\)

Example Question #59 : How To Solve Two Step Equations

Solve:

\(\displaystyle 100-(7\times7)\)

 

Possible Answers:

\(\displaystyle 56\)

\(\displaystyle 48\)

\(\displaystyle 51\)

\(\displaystyle 67\)

\(\displaystyle 43\)

Correct answer:

\(\displaystyle 51\)

Explanation:

\(\displaystyle 100-(7\times7)\)

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

\(\displaystyle 7\times7=49\)

\(\displaystyle 100-49=51\)

Example Question #61 : Common Core Math: Grade 5

Solve:

\(\displaystyle 4\times(5+6)\)

 

Possible Answers:

\(\displaystyle 36\)

\(\displaystyle 44\)

\(\displaystyle 49\)

\(\displaystyle 38\)

\(\displaystyle 32\)

Correct answer:

\(\displaystyle 44\)

Explanation:

\(\displaystyle 4\times(5+6)\)

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

\(\displaystyle 5+6=11\)

\(\displaystyle 4\times11=44\)

Example Question #61 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

\(\displaystyle 6\times (49-43)\div3\)

 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 12\)

\(\displaystyle 4\)

\(\displaystyle 10\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 12\)

Explanation:

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

\(\displaystyle 49-43=6\)

\(\displaystyle 6\times6=36\)

\(\displaystyle 36\div3=12\) 

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