Evaluate Multi Variable Expressions Involving Negative Numbers 2

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Question 1 of 4

Evaluate

$2m^2-n^2$ using the following values:

$m=-3$

$n=-4$

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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

Evaluate

$3m-4n-n/2$ using the following values:

$m=-3$

$n=-4$

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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)
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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)
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Rules for Dividing Integers

Simply substitute the given value for the variable.

$x$ $=$ $-2$

$y$ $=$ $-6$

$\frac{3(\color{#00880A}{y}+8)}{\color{#9a00c7}{x}}$ $=$ $\frac{3(\color{#00880A}{-6}+8)}{\color{#9a00c7}{-2}}$

$=$ $(3(2))/(-2)$

$=$ $6/(-2)$

$=$ $-3$

$-3$

Evaluate Multi Variable Expressions Involving Negative Numbers 2

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Quiz summary

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1. Question

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2. Question

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3. Question

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Nice Job!

Rules for Dividing Integers

4. Question

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Well Done!

Rules for Dividing Integers

Quizzes

$\frac{18\color{#9a00c7}{x}}{\color{#00880A}{y}}$	$=$	$\frac{18(\color{#9a00c7}{-2})}{\color{#00880A}{-6}}$

	$=$	$(-36)/(-6)$

	$=$	$6$

$\frac{3(\color{#00880A}{y}+8)}{\color{#9a00c7}{x}}$	$=$	$\frac{3(\color{#00880A}{-6}+8)}{\color{#9a00c7}{-2}}$

	$=$	$(3(2))/(-2)$

	$=$	$6/(-2)$

	$=$	$-3$

$x$	$=$	$-2$
$y$	$=$	$-6$

$x$	$=$	$-2$
$y$	$=$	$-6$