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Evaluate Multi Variable Expressions Involving Negative Numbers>
Evaluate Multi Variable Expressions Involving Negative Numbers 2Evaluate Multi Variable Expressions Involving Negative Numbers 2
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Question 1 of 4
1. Question
Evaluate `2m^2-n^2` using the following values:`m=-3``n=-4`- (2)
Hint
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Exceptional!
Incorrect
Simply substitute the given value for the variable.`m` `=` `-3` `n` `=` `-4` $$2\color{#9a00c7}{m}^2-\color{#00880A}{n}^2$$ `=` $$2(\color{#9a00c7}{-3})^2-(\color{#00880A}{-4})^2$$ `=` `2(9)-16` Negative numbers raised to even exponents become positive `=` `18-16` `=` `2` `2` -
Question 2 of 4
2. Question
Evaluate `3m-4n-n/2` using the following values:`m=-3``n=-4`- (9)
Hint
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Fantastic!
Incorrect
Simply substitute the given value for the variable.`m` `=` `-3` `n` `=` `-4` $$3\color{#9a00c7}{m}-4\color{#00880A}{n}-\frac{\color{#00880A}{n}}{2}$$ `=` $$3(\color{#9a00c7}{-3})-4(\color{#00880A}{-4})-\frac{\color{#00880A}{-4}}{2}$$ `=` `-9+16+4/2` `=` `-9+16+2` `=` `-9+18` `=` `9` `9` -
Question 3 of 4
3. Question
Evaluate `(18x)/y` using the following values:`x=-2``y=-6`- (6)
Hint
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Nice Job!
Incorrect
Rules for Dividing Integers
Simply substitute the given value for the variable.`x` `=` `-2` `y` `=` `-6` $$\frac{18\color{#9a00c7}{x}}{\color{#00880A}{y}}$$ `=` $$\frac{18(\color{#9a00c7}{-2})}{\color{#00880A}{-6}}$$ `=` `(-36)/(-6)` `=` `6` `6` -
Question 4 of 4
4. Question
Evaluate `(3(y+8))/x` using the following values:`x=-2``y=-6`- (-3)
Hint
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Well Done!
Incorrect
Rules for Dividing Integers
Simply substitute the given value for the variable.`x` `=` `-2` `y` `=` `-6` $$\frac{3(\color{#00880A}{y}+8)}{\color{#9a00c7}{x}}$$ `=` $$\frac{3(\color{#00880A}{-6}+8)}{\color{#9a00c7}{-2}}$$ `=` `(3(2))/(-2)` `=` `6/(-2)` `=` `-3` `-3`
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