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Common Core: 5th Grade Math : Operations & Algebraic Thinking

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 #75 : How To Solve Two Step Equations

Solve:

$9\times(10-2)$

Possible Answers:

Correct answer:

Explanation:

$9\times(10-2)$

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

10-2=8

$9\times8=72$

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Example Question #81 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$84\div(79-67)$

Possible Answers:

Correct answer:

Explanation:

$84\div(79-67)$

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

79-67=12

$84\div12=7$

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Example Question #76 : How To Solve Two Step Equations

Solve:

$8+(45-37)\times 11$

Possible Answers:

Correct answer:

Explanation:

$8+(45-37)\times 11$

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

45-37=8

$8\times11=88$

8+88=96

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Example Question #82 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Solve:

$18\div(5-2)$

Possible Answers:

Correct answer:

Explanation:

$18\div(5-2)$

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

5-2=3

$18\div3=6$

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Example Question #1201 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Solve:

$16+3\times9+(42-10)$

Possible Answers:

Correct answer:

Explanation:

$16+3\times9+(42-10)$

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

42-10=32

$3\times9=27$

16+27+32=75

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Example Question #1 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Write a numerical expression for the following statement:

Subtract 3 from 4. Multiply this amount by 7. Divide this entire quantity by 7.

Possible Answers:

$\left [ (4-3)\times 7\div 7 \right ]$

$\left [ (3-4)\times 7\div 7 \right ]$

$\left [ (4-3)\times 7 \right ]\div 7$

$\left [ 4-3\times 7 \right ]\div 7$

$\left [ (3-4)\times 7 \right ]\div 7$

Correct answer:

$\left [ (4-3)\times 7 \right ]\div 7$

Explanation:

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Example Question #1 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below.

more than times .

Possible Answers:

$3-8\times7$

$(3+8)\times7$

$3+8\times7$

$(3+7)\times 8$

$3\times8\times7$

Correct answer:

$3+8\times7$

Explanation:

more than times is the same as $3+8\times 7$ because more means to add and times means muitpilcation.

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Example Question #2 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below.

minus , then multiply .

Possible Answers:

$20\times(10+5))$

$5-10\div20$

$20\div(10+5)$

$20\times(10-5)$

$20\div(10-5)$

Correct answer:

$20\times(10-5)$

Explanation:

We want to first subtract and , so we need to set that in parentheses because of the order of operations. Then we can multiply by 20.

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Example Question #81 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

First divide and , then multiply .

Possible Answers:

$21\div3\times7$

$7\div3\times21$

$21\div7\div3$

$21\div(7\times3)$

$21\div7\times3$

Correct answer:

$21\div3\times7$

Explanation:

Because of order of operations, when we have division and mulitplication, we work left to right. So we can first write divided by and then we can multiple by .

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Example Question #3 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below.

First subtract and then dvide by .

Possible Answers:

$10+7\div1$

$(10-7)\div1$

$10+7\times1$

$(10-7)\times1$

$10-7\div1$

Correct answer:

$(10-7)\div1$

Explanation:

Because we want to subtract and , we need to set that off into parentheses so that operation comes before we divide by .

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Operations & Algebraic Thinking

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #75 : How To Solve Two Step Equations

Example Question #81 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #76 : How To Solve Two Step Equations

Example Question #82 : Use Parentheses, Brackets, Or Braces In Numerical Expressions And Evaluate These Expressions: Ccss.Math.Content.5.Oa.A.1

Example Question #1201 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #1 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Example Question #1 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Example Question #2 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Example Question #81 : Operations & Algebraic Thinking

Example Question #3 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

All Common Core: 5th Grade Math Resources

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