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Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #51 : Algebra

Solve:

$4\times8+(56-17)$ $\displaystyle 4\times8+(56-17)$

Possible Answers:

$\displaystyle 78$

$\displaystyle 83$

$\displaystyle 93$

$\displaystyle 71$

$\displaystyle 89$

Correct answer:

$\displaystyle 71$

Explanation:

$4\times8+(56-17)$ $\displaystyle 4\times8+(56-17)$

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

$\displaystyle 56-17=39$

$4\times8=32$ $\displaystyle 4\times8=32$

$\displaystyle 32+39=71$

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Example Question #51 : Operations & Algebraic Thinking

Solve:

$87-(11\times5)$ $\displaystyle 87-(11\times5)$

Possible Answers:

$\displaystyle 53$

$\displaystyle 47$

$\displaystyle 28$

$\displaystyle 32$

$\displaystyle 36$

Correct answer:

$\displaystyle 32$

Explanation:

$87-(11\times5)$ $\displaystyle 87-(11\times5)$

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

$11\times5=55$ $\displaystyle 11\times5=55$

$\displaystyle 87-55=32$

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Example Question #48 : How To Solve Two Step Equations

Solve:

$6\times(2+7)$ $\displaystyle 6\times(2+7)$

Possible Answers:

$\displaystyle 58$

$\displaystyle 36$

$\displaystyle 40$

$\displaystyle 54$

$\displaystyle 22$

Correct answer:

$\displaystyle 54$

Explanation:

$6\times(2+7)$ $\displaystyle 6\times(2+7)$

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

2+7=9 $\displaystyle 2+7=9$

$6\times9=54$ $\displaystyle 6\times9=54$

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Example Question #49 : How To Solve Two Step Equations

Solve:

$6\times (37-30)\div3$ $\displaystyle 6\times (37-30)\div3$

Possible Answers:

$\displaystyle 12$

$\displaystyle 17$

$\displaystyle 20$

$\displaystyle 14$

$\displaystyle 11$

Correct answer:

$\displaystyle 14$

Explanation:

$6\times (37-30)\div3$ $\displaystyle 6\times (37-30)\div3$

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

37-30=7 $\displaystyle 37-30=7$

$6\times7=42$ $\displaystyle 6\times7=42$

$42\div3=14$ $\displaystyle 42\div3=14$

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Example Question #51 : How To Solve Two Step Equations

Solve:

$4\times(47-33)$ $\displaystyle 4\times(47-33)$

Possible Answers:

$\displaystyle 67$

$\displaystyle 64$

$\displaystyle 70$

$\displaystyle 58$

$\displaystyle 56$

Correct answer:

$\displaystyle 56$

Explanation:

$4\times(47-33)$ $\displaystyle 4\times(47-33)$

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

$\displaystyle 47-33=14$

$4\times14=56$ $\displaystyle 4\times14=56$

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Example Question #52 : Orders Of Operations

Solve:

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

Possible Answers:

$\displaystyle 65$

$\displaystyle 53$

$\displaystyle 56$

$\displaystyle 49$

$\displaystyle 58$

Correct answer:

$\displaystyle 53$

Explanation:

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

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

$\displaystyle 84-52=32$

$32\div8=4$ $\displaystyle 32\div8=4$

49+4=53 $\displaystyle 49+4=53$

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Example Question #52 : Operations & Algebraic Thinking

Solve:

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

Possible Answers:

$\displaystyle 77$

$\displaystyle 42$

$\displaystyle 35$

$\displaystyle 21$

$\displaystyle 49$

Correct answer:

$\displaystyle 77$

Explanation:

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

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

$\displaystyle 83-72=11$

$7\times11=77$ $\displaystyle 7\times11=77$

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Example Question #51 : Operations & Algebraic Thinking

Solve:

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

Possible Answers:

$\displaystyle 2$

$\displaystyle 4$

$\displaystyle 10$

$\displaystyle 6$

$\displaystyle 8$

Correct answer:

$\displaystyle 2$

Explanation:

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

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

$\displaystyle 97-37=60$

$120\div60=2$ $\displaystyle 120\div60=2$

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Example Question #54 : Orders Of Operations

Solve:

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

Possible Answers:

$\displaystyle 73$

104 $\displaystyle 104$

$\displaystyle 97$

$\displaystyle 81$

$\displaystyle 67$

Correct answer:

$\displaystyle 81$

Explanation:

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

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

45-38=7 $\displaystyle 45-38=7$

$7\times7=49$ $\displaystyle 7\times7=49$

$\displaystyle 32+49=81$

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Example Question #53 : Operations & Algebraic Thinking

Solve:

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

Possible Answers:

$\displaystyle 16$

$\displaystyle 22$

$\displaystyle 27$

$\displaystyle 11$

$\displaystyle 13$

Correct answer:

$\displaystyle 11$

Explanation:

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

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

$\displaystyle 84-73=11$

$121\div11=11$ $\displaystyle 121\div11=11$

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #51 : Algebra

Example Question #51 : Operations & Algebraic Thinking

Example Question #48 : How To Solve Two Step Equations

Example Question #49 : How To Solve Two Step Equations

Example Question #51 : How To Solve Two Step Equations

Example Question #52 : Orders Of Operations

Example Question #52 : Operations & Algebraic Thinking

Example Question #51 : Operations & Algebraic Thinking

Example Question #54 : Orders Of Operations

Example Question #53 : Operations & Algebraic Thinking

All Common Core: 5th Grade Math Resources

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