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Math Fundamentals
Real Numbers

1
Positive and Negative Numbers

Problem  1
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Stephanie
Stephanie
Ryan
Ryan
Problem  2
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Explain the meaning of each expression:

  1. \(3<5\)

  2. \(0>100\)

  3. \(-3<5\)

  4. \(-5<-2\)

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Mr. McKeague cc
Mr. McKeague
Julieta cc
Julieta
Aaron cc
Aaron
Problem  3
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Stephanie
Stephanie
Ryan
Ryan
Problem  4
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Give the opposite of each number: \(5\), \(7\), \(1\), \(-5\), \(-8\)

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Mr. McKeague cc
Mr. McKeague
Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin

2
Addition with Negative Numbers

Problem  1
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Add \(3+(-5)\) using the number line.

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Mrs. Mooney cc
Mrs. Mooney
Gordon cc
Gordon
Edwin cc espanol spanish
Edwin
Problem  2
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Add \(-3+5\) using the number line.

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Mrs. Mooney cc
Mrs. Mooney
Gordon cc
Gordon
Edwin cc espanol spanish
Edwin
Problem  3
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Add \(-3+(-5)\) using the number line.

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Mrs. Mooney cc
Mrs. Mooney
Gordon cc
Gordon
Edwin cc espanol spanish
Edwin
Problem  4
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Add all combinations of positive and negative \(10\) and \(15\).

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Mrs. Mooney cc
Mrs. Mooney
Matt cc
Matt
David cc espanol spanish
David
Problem  5
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Stephanie
Stephanie
Ryan
Ryan
Problem  6
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Stephanie
Stephanie
Ryan
Ryan
Problem  7
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Simplify: \(10+(-5)+(-3)+4\)

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Mr. McKeague cc
Mr. McKeague
Mrs. Mooney cc
Mrs. Mooney
Matt cc
Matt
David cc espanol spanish
David
Problem  8
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Simplify: \([-3+(-10)]+[8+(-2)]\)

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Mrs. Mooney cc
Mrs. Mooney
Matt cc
Matt
David cc espanol spanish
David
Problem  9
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Julieta
Julieta
Stephanie
Stephanie
Ryan
Ryan

3
Subtraction with Negative Numbers

Problem  1
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Subtract: \(-7-2\)

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Mr. McKeague cc
Mr. McKeague
Mrs. Mooney cc
Mrs. Mooney
Matt cc
Matt
David cc espanol spanish
David
Problem  2
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Subtract: \(\;12-(-6)\)

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Mrs. Mooney cc
Mrs. Mooney
Matt cc
Matt
David cc espanol spanish
David
Problem  3
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Subtract: \(7-9\)

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Mrs. Mooney cc
Mrs. Mooney
Arielle cc
Arielle
Gordon cc
Gordon
David cc espanol spanish
David
Problem  4
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Combine: \(-3+6-2\)

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Mrs. Mooney cc
Mrs. Mooney
Matt cc
Matt
Octabio cc
Octabio
David cc espanol spanish
David
Problem  5
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Subtract \(3\) from \(-5\)

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Mrs. Mooney cc
Mrs. Mooney
Arielle cc
Arielle
David cc espanol spanish
David

4
Multiplication with Negative Numbers

Problem  1
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Mr. McKeague cc
Mr. McKeague
Mrs. Mooney cc
Mrs. Mooney
Aaron cc
Aaron
David cc espanol spanish
David
Problem  2
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Multiply:

  1. \(2(4)\)

  2. \(-2(-4)\)

  3. \(2(-4)\)

  4. \(-2(4)\)

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Mrs. Mooney cc
Mrs. Mooney
Rachel cc
Rachel
Matt cc
Matt
David cc espanol spanish
David
Problem  3
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Multiply: \(-3(2)(-5)\)

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Mrs. Mooney cc
Mrs. Mooney
David cc espanol spanish
David
Matt cc
Matt
David cc espanol spanish
David
Problem  4
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Expand and simplify:

  1. \((-6)^2\)

  2. \(-6^2\)

  3. \((-4)^3\)

  4. \(-4^3\)

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Betsy cc
Betsy
Matt cc
Matt
David cc espanol spanish
David
Problem  5
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Simplify: \(-4+5(-6+2)\)

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Mrs. Mooney cc
Mrs. Mooney
Matt cc
Matt
Arielle cc
Arielle
David cc espanol spanish
David
Problem  6
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Simplify: \(-3(2-9)+4(-7-2)\)

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Mrs. Mooney cc
Mrs. Mooney
Matt cc
Matt
Arielle cc
Arielle
David cc espanol spanish
David
Problem  7
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Multiply:

  1. \(\left(\displaystyle\frac{2}{3}\right)\left(-\displaystyle\frac{3}{5}\right)\)

  2. \(\left(-\displaystyle\frac{7}{8}\right)\left(-\displaystyle\frac{5}{14}\right)\)

  3. \((-5)(3.4)\)

  4. \((-0.4)(-0.8)\)

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Matt cc
Matt
David espanol spanish
David

5
Division with Negative Numbers

Problem  1
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Divide:

  1. \(12 \div 4\)

  2. \(-12 \div 4\)

  3. \(12 \div (-4)\)

  4. \(-12 \div (-4)\)

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Arielle cc
Arielle
Logan cc
Logan
Edwin cc espanol spanish
Edwin
Problem  2
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Divide:

  1. \(\frac{20}{5}\)

  2. \(\frac{-20}{5}\)

  3. \(\frac{20}{-5}\)

  4. \(\frac{-20}{-5}\)

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Arielle cc
Arielle
Matt cc
Matt
Edwin cc espanol spanish
Edwin
Problem  3
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Simplify: \(\displaystyle\frac{-15+5(-4)}{12-17}\)

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Arielle cc
Arielle
Matt cc
Matt
Edwin cc espanol spanish
Edwin
Problem  4
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Simplify: \(-4\left(10^2\right)+20\div (-4)\)

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Arielle cc
Arielle
Matt cc
Matt
Edwin cc espanol spanish
Edwin

6
Test Yourself!

Problem  1
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Richard cc
Richard
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  2
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Richard cc
Richard
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  3
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Richard cc
Richard
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  4
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Richard cc
Richard
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  5
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Richard cc
Richard
Kendra cc
Kendra
Edwin
Edwin
Problem  6
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Richard cc
Richard
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  7
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Richard cc
Richard
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  8
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Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  9
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Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  10
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Richard cc
Richard
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  11
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Joshua cc
Joshua
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  12
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Joshua cc
Joshua
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  13
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Joshua cc
Joshua
Edwin espanol spanish
Edwin
Problem  14
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Joshua cc
Joshua
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  15
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Joshua cc
Joshua
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  16
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Joshua cc
Joshua
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  17
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Joshua cc
Joshua
Edwin espanol spanish
Edwin
Problem  18
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Joshua cc
Joshua
Sirena cc
Sirena
Edwin espanol spanish
Edwin
Problem  19
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Joshua cc
Joshua
Sirena cc
Sirena
Edwin espanol spanish
Edwin
Problem  20
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Joshua cc
Joshua
Sirena cc
Sirena
Edwin espanol spanish
Edwin
Problem  21
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Joshua cc
Joshua
Sirena cc
Sirena
Edwin espanol spanish
Edwin
Problem  22
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Joshua cc
Joshua
Sirena cc
Sirena
Edwin espanol spanish
Edwin
Problem  23
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Joshua cc
Joshua
Sirena cc
Sirena
Edwin espanol spanish
Edwin
Problem  24
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Joshua cc
Joshua
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  25
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Joshua cc
Joshua
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  26
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Joshua cc
Joshua
Kendra cc
Kendra
Edwin espanol spanish
Edwin
Problem  27
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Joshua cc
Joshua
Edwin espanol spanish
Edwin
Problem  28
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Kendra cc
Kendra
Joshua cc
Joshua
Problem  29
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Kendra cc
Kendra
Joshua cc
Joshua
Edwin espanol spanish
Edwin
Problem  30
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Kendra cc
Kendra
Joshua cc
Joshua
Edwin espanol spanish
Edwin
Problem  31
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Kendra cc
Kendra
Joshua cc
Joshua
Edwin
Edwin
Problem  32
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Kendra cc
Kendra
Joshua cc
Joshua
Edwin
Edwin
Problem  33
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Kendra cc
Kendra
Joshua cc
Joshua
Edwin
Edwin
Problem  34
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Kendra cc
Kendra
Joshua cc
Joshua
Edwin espanol spanish
Edwin
Problem  35
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Kendra cc
Kendra
Joshua cc
Joshua
Edwin espanol spanish
Edwin