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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 #2 : Order Of Operations

Simplify:

5+[2+3(3-2^2)]

Possible Answers:

Correct answer:

Explanation:

Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:

5+[2+3(3-2^2)]

=5+[2+3(3-4)]

=5+[2+3(-1)]

=5+[2+(-3)]

=5+[-1]

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Example Question #8 : Operations And Properties

Simplify:

6^2-[4+3(-6-1)]

Possible Answers:

Correct answer:

Explanation:

6^2-[4+3(-6-1)]

=6^2-[4+3(-7)]

=6^2-[4+(-21)]

=6^2-[-17]

=36+17

=53

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Example Question #2 : Operations And Properties

Simplify:

(3*2+1)-2[3-(4-2)]

Possible Answers:

Correct answer:

Explanation:

(3*2+1)-2[3-(4-2)]

=(6+1)-2[3-(2)]

=(7)-2[1]

=7-2

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Example Question #3 : Order Of Operations

Simplify:

2^2[2+(3-4)]+[5(2+1-7)]

Possible Answers:

Correct answer:

Explanation:

2^2[2+(3-4)]+[5(2+1-7)]

=2^2[2+(-1)]+[5(-4)]

=2^2[1]+[-20]

=4[1]+[-20]

=4-20

=-16

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Example Question #11 : Order Of Operations

Simplify:

2^3-[4(2+1-2+4-3)]+4(1+2-5)

Possible Answers:

Correct answer:

Explanation:

2^3-[4(2+1-2+4-3)]+4(1+2-5)

=2^3-[4(2)]+4(-2)

=8-[8]+(-8)

=-8

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Example Question #12 : Order Of Operations

Simplify:

3^3+2(2^3-4)+2(-1+2-3)

Possible Answers:

Correct answer:

Explanation:

3^3+2(2^3-4)+2(-1+2-3)

=3^3+2(8-4)+2(-2)

=3^3+2(4)+(-4)

=27+8+(-4)

=31

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Example Question #13 : Order Of Operations

Simplify:

3^2(2^2-4+3)-[5(3+1-2+6-5)]

Possible Answers:

Correct answer:

Explanation:

3^2(2^2-4+3)-[5(3+1-2+6-5)]

=3^2(4-4+3)-[5(3)]

=3^2(3)-[15]

=9(3)-15

=27-15

=12

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Example Question #14 : Order Of Operations

Simplify:

$3^3[2-(-4)]+2^4-6+3^{(4-2)}$

Possible Answers:

181

Correct answer:

181

Explanation:

$3^3[2-(-4)]+2^4-6+3^{(4-2)}$

$=3^3[6]+2^4-6+3^{(2)}$

=27[6]+16-6+9

=162+16-6+9

=181

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Example Question #15 : Order Of Operations

Simplify:

2^4-2[4-(-5)]+7(2+1-4)

Possible Answers:

Correct answer:

Explanation:

2^4-2[4-(-5)]+7(2+1-4)

=2^4-2[9]+7(-1)

=16-[18]+(-7)

=-9

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Example Question #16 : Order Of Operations

Simplify:

$2^3(2-3)+3^{[2(1+3-2-1)]}-3[2-(-2)]$

Possible Answers:

Correct answer:

Explanation:

$2^3(2-3)+3^{[2(1+3-2-1)]}-3[2-(-2)]$

$=2^3(-1)+3^{[2(1)]}-3[4]$

$=8(-1)+3^{2}-12$

=(-8)+9-12

=-11

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Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #2 : Order Of Operations

Example Question #8 : Operations And Properties

Example Question #2 : Operations And Properties

Example Question #3 : Order Of Operations

Example Question #11 : Order Of Operations

Example Question #12 : Order Of Operations

Example Question #13 : Order Of Operations

Example Question #14 : Order Of Operations

Example Question #15 : Order Of Operations

Example Question #16 : Order Of Operations

All Pre-Algebra Resources

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