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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

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All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #107 : Order Of Operations

Solve:

$12-2\cdot6+4\cdot5-6$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplication before addition/subtraction to get our final answer of 48:

$12-2\cdot6+4\cdot5-6$

$12-12+4\cdot5-6$

12-12+20-6

0+20-6

20-6=14

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Example Question #102 : Operations And Properties

Solve:

$2\cdot6-4\div2+5$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplication and division before addition and subtraction to get our final answer of 15:

$2\cdot6-4\div2+5$

$12-4\div2+5$

12-2+5

10+5=15

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Example Question #102 : Operations And Properties

Solve:

$25+2\cdot6+(7-2\cdot 3)$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the math inside the parentheses, then multiplication before addition to get our final answer of 38:

$25+2\cdot6+(7-2\cdot 3)$

$25+2\cdot6+(7-6)$

$25+2\cdot6+1$

25+12+1=38

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Example Question #1121 : Pre Algebra

Solve:

$17-2+(6\cdot (2+3))-4^{2}$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we solve the parentheses before anything else. Since there are two sets of them, solve the innermost set of parentheses first. After completing the parentheses, solve the exponents before doing the addition and subtraction to get our final answer of 29:

$17-2+(6\cdot (2+3))-4^{2}$

$17-2+(6\cdot 5)-4^{2}$

$17-2+30-4^{2}$

17-2+30-16

15+30-16

45-16=29

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Example Question #111 : Order Of Operations

Solve:

$4\cdot2+6-3+3\cdot2$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplication before solving the addition and subtraction to get our final answer of 20:

$4\cdot2+6-3+3\cdot2$

$8+6-3+3\cdot2$

8+6-3+9

14-3+9

11+9=20

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Example Question #111 : Operations And Properties

Solve:

$32-6\cdot4+8-3\cdot3+17$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplication before completing the addition and subtraction to get our final answer of 24:

$32-6\cdot4+8-3\cdot3+17$

$32-24+8-3\cdot3+17$

32-24+8-9+17

8+8-9+17

16-9+17

7+17=24

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Example Question #111 : Order Of Operations

Solve:

$2^{2}+6^{2}-5^{2}+3^{2}$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we solve each of the exponents before completing addition and subtraction to get our final answer of 34:

$2^{2}+6^{2}-5^{2}+3^{2}$

$4+6^{2}-5^{2}+3^{2}$

$4+36-5^{2}+3^{2}$

$4+36-25+3^{2}$

4+36-25+9

40-25+9

15+9=34

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Example Question #112 : Operations And Properties

Solve:

$4^{2}-6+2\cdot5-7$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we solve the exponent, the do the multiplication before completing addition and subtraction to get our final answer of 13:

$4^{2}-6+2\cdot5-7$

$16-6+2\cdot5-7$

16-6+10-7

10+10-7

20-7=13

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Example Question #115 : Operations

Solve:

$7^{2}-14+2-6\cdot3$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we solve the exponent then do the multiplication before completing addition and subtraction to get our final answer of 48:

$7^{2}-14+2-6\cdot3$

$49-14+2-6\cdot3$

49-14+2-18

35+2-18

37-18=19

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Example Question #112 : Order Of Operations

Solve:

$3^{2}\cdot4-9+27$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we solve the exponent then do the multiplication before completing addition and subtraction to get our final answer of 54:

$3^{2}\cdot4-9+27$

$9\cdot4-9+27$

36-9+27

27+27=54

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #107 : Order Of Operations

Example Question #102 : Operations And Properties

Example Question #102 : Operations And Properties

Example Question #1121 : Pre Algebra

Example Question #111 : Order Of Operations

Example Question #111 : Operations And Properties

Example Question #111 : Order Of Operations

Example Question #112 : Operations And Properties

Example Question #115 : Operations

Example Question #112 : Order Of Operations

All Pre-Algebra Resources

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