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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

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

Example Questions

Example Question #91 : Operations And Properties

Using the order of operations, solve the following.

2(4+3) + 3^2 *7

Possible Answers:

140

161

Correct answer:

Explanation:

To solve this, we use the order of operations. The order of operations is

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

We must solve the problem in the proper order, starting first with parentheses and ending with subtraction. Using the order of operations, we get

Initial Problem:

2(4+3) + 3^2 *7

Solve parentheses:

2(7) + 3^2 *7

Solve exponents:

2(7) + 9 *7

Mulitply:

14 + 63

Add:

So the final solution is 77.

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Example Question #96 : Operations And Properties

Solve:

$2^{2}-3+15-6\div2$

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 complete the division before doing the addition/subtraction to get our final answer of 13:

$2^{2}-3+15-6\div2$

$4-3+15-6\div2$

4-3+15-3

1+15-3

16-3=13

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Example Question #95 : Operations

Solve:

$15-6+3\cdot4-7$

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 do the multiplication before the addition/subtraction to get our final answer of 14:

$15-6+3\cdot4-7$

15-6+12-7

9+12-7

21-7=14

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Example Question #96 : Operations

Solve:

$4+6\div (3^{2}+4-7)$

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 do the parentheses first. Inside the parentheses solve the exponent before doing addition and subtraction. Once the parentheses are solved complete the division before addition to get a final answer of 5:

$4+6\div (3^{2}+4-7)$

$4+6\div (9+4-7)$

$4+6\div (13-7)$

$4+6\div6$

4+1=5

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Example Question #101 : Operations

Solve:

$6-4+4\cdot7\div2$

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/division before addition/subtraction to get our final answer of 16:

$6-4+4\cdot7\div2$

$6-4+28\div2$

6-4+14

2+14=16

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Example Question #1111 : Pre Algebra

Solve:

$26-14+(2^{3}+6-12)$

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 parentheses first. Inside the parentheses solve the exponent before doing addition and subtraction. Once the parentheses are solved complete the addition and subtraction to get a final answer of 14:

$26-14+(2^{3}+6-12)$

26-14+(8+6-12)

26-14+(14-12)

26-14+2

12+2=14

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Example Question #101 : Order Of Operations

Solve:

$3^{2}-4+5^{2}+2-15$

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 exponents before doing addition and subtraction to get a final answer of 17:

$3^{2}-4+5^{2}+2-15$

9-4+25+2-15

5+25+2-15

30+2-15

32-15=17

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Example Question #1112 : Pre Algebra

Solve:

$12-5+6\cdot4$

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 31:

$12-5+6\cdot4$

12-5+24

7+24=31

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Example Question #102 : Operations And Properties

Solve:

$3\cdot2+7-4+4\cdot9$

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 multiplicationbefore addition/subtraction to get our final answer of 45:

$3\cdot2+7-4+4\cdot9$

$6+7-4+4\cdot9$

6+7-4+36

13-4+36

9+36=45

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Example Question #102 : Order Of Operations

Solve:

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

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 solve the exponents before completing addition/subtraction to get our final answer of 3:

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

16+9-25+3

25-25+3

0+3=3

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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #91 : Operations And Properties

Example Question #96 : Operations And Properties

Example Question #95 : Operations

Example Question #96 : Operations

Example Question #101 : Operations

Example Question #1111 : Pre Algebra

Example Question #101 : Order Of Operations

Example Question #1112 : Pre Algebra

Example Question #102 : Operations And Properties

Example Question #102 : Order Of Operations

All Pre-Algebra Resources

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