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Substitution and Evaluating Algebraic Expressions with Negative Numbers>
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Question 1 of 4
1. Question
Evaluate `y-x` using the following values:`x=-2``y=-6`- (-4)
Hint
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Incorrect
Rules for Adding and Subtracting Integers
Simply substitute the given value for the variable.`x` `=` `-2` `y` `=` `-6` `y``-``x` `=` `-6` `-(``-2``)` `=` `-6+2` Now, we can use the number line to evaluate further.Start at `-6`, then since `2` is positive move right `2` places`-6` `+2` `=` 
`-6+2` `=` `-4` `-4` -
Question 2 of 4
2. Question
Evaluate `y+4x` using the following values:`x=-2``y=-6`- (-14)
Hint
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Correct!
Incorrect
Rules for Multiplying Integers
Simply substitute the given value for the variable.`x` `=` `-2` `y` `=` `-6` `y``+4``x` `=` `-6 ``+ 4(``-2``)` `=` `-6-8` Now, we can use the number line to evaluate further.Start at `-6`, then subtract `8` by moving left `8` places`-6` `-8` `=` 
`-6-8` `=` `-14` `-14` -
Question 3 of 4
3. Question
Evaluate `4m-5n` using the following values:`m=-3``n=-4`- (8)
Hint
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Incorrect
Rules for Multiplying Integers
Simply substitute the given value for the variable.`m` `=` `-3` `n` `=` `-4` `4``m``-5``n` `=` `4(``-3``)-5(``-4``)` `=` `-12-5(-4)` `=` `-12+20` `=` `20-12` Rearrange the values `=` `8` `8` -
Question 4 of 4
4. Question
Evaluate `x^2y^2` using the following values:`x=-2``y=-6`- (144)
Hint
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Excellent!
Incorrect
Simply substitute the given value for the variable.`x` `=` `-2` `y` `=` `-6` $$\color{#9a00c7}{x}^2\color{#00880A}{y}^2$$ `=` $$(\color{#9a00c7}{-2})^2\times(\color{#00880A}{-6})^2$$ `=` `4xx36` Negative numbers raised to even exponents become positive `=` `144` `144`
Quizzes
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- Simplify Algebraic Expressions 2
- Simplify Algebraic Expressions 3
- Substitution and Evaluating Algebraic Expressions
- Substitution and Evaluating Multi-Variable Algebraic Expressions
- Substitution and Evaluating Rational Algebraic Expressions
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 1
- Substitution and Evaluating Algebraic Expressions with Negative Numbers 2
- Simplify Algebraic Expressions using the Distributive Property 1
- Simplify Algebraic Expressions using the Distributive Property 2
- Simplify Algebraic Expressions using the Distributive Property 3
- Write Algebraic Expressions from Diagrams
- Evaluate Algebraic Expressions Problems
- Combine Like Terms 1
- Combine Like Terms 2
- Combine Like Terms 3