Evaluate Rational Expressions with Variables

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Question 1 of 4

1. Question
Given that $a = 12$ $a=12$ , evaluate the expression

$\frac{3 a}{2}$ $(3a)/2$
- (18)
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Order of Operations (PEMDAS)

P $=$ $=$ Parentheses
E $=$ $=$ Exponents
M/D $=$ $=$ Multiplication/Division
A/S $=$ $=$ Addition/Subtraction

Simply substitute the given value for the variable.

$a$ $a$ $=$ $=$ $12$ $12$

$\frac{3\color{#9a00c7}{a}}{2}$ $=$ $=$ $\frac{3(\color{#9a00c7}{12})}{2}$

$=$ $=$ $\frac{36}{2}$ $36/2$

$=$ $=$ $18$ $18$

$18$ $18$
Question 2 of 4

2. Question
Given that $a = 10$ $a=10$ , evaluate the expression

$\frac{5 (a - 4)}{10}$ $(5(a-4))/10$
- (3)
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Order of Operations (PEMDAS)

P $=$ $=$ Parentheses
E $=$ $=$ Exponents
M/D $=$ $=$ Multiplication/Division
A/S $=$ $=$ Addition/Subtraction

Simply substitute the given value for the variable.

$a$ $a$ $=$ $=$ $10$ $10$

$\frac{5(\color{#9a00c7}{a}-4)}{10}$ $=$ $=$ $\frac{5(\color{#9a00c7}{10}-4)}{10}$

$=$ $=$ $\frac{5 (6)}{10}$ $(5(6))/10$

$=$ $=$ $\frac{30}{10}$ $30/10$

$=$ $=$ $3$ $3$

$3$ $3$

Question 3 of 4

Evaluate

\frac{10 b c}{a}

$(10bc)/a$ using the following values:

a = 5

$a=5$

b = 3

$b=3$

c = 2

$c=2$

(12)

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Order of Operations (PEMDAS)

=

$=$ Parentheses
E

=

$=$ Exponents
M/D

=

$=$ Multiplication/Division
A/S

=

$=$ Addition/Subtraction

Simply substitute the given value for the variable.

$a$ $a$	$=$ $=$	$5$ $5$
$b$ $b$	$=$ $=$	$3$ $3$
$c$ $c$	$=$ $=$	$2$ $2$

$\frac{10\color{#00880A}{b}\color{#e65021}{c}}{\color{#9a00c7}{a}}$	$=$ $=$	$\frac{10\times\color{#00880A}{3}\times\color{#e65021}{2}}{\color{#9a00c7}{5}}$

	$=$ $=$	$\frac{30 \times 2}{5}$ $(30xx2)/5$	$10 \times 3 = 30$ $10xx3=30$

	$=$ $=$	$\frac{60}{5}$ $60/5$	$30 \times 2 = 60$ $30xx2=60$

	$=$ $=$	$12$ $12$

12

$12$

Question 4 of 4

Evaluate

\frac{9 c^{2}}{a + 1}

$(9c^2)/(a+1)$ using the following values:

a = 5

$a=5$

b = 3

$b=3$

c = 2

$c=2$

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Order of Operations (PEMDAS)

=

$=$ Parentheses
E

=

$=$ Exponents
M/D

=

$=$ Multiplication/Division
A/S

=

$=$ Addition/Subtraction

Simply substitute the given value for the variable.

$a$ $a$	$=$ $=$	$5$ $5$
$b$ $b$	$=$ $=$	$3$ $3$
$c$ $c$	$=$ $=$	$2$ $2$

$\frac{9\color{#e65021}{c}^2}{\color{#9a00c7}{a}+1}$	$=$ $=$	$\frac{9\times\color{#e65021}{2}^2}{\color{#9a00c7}{5}+1}$

	$=$ $=$	$\frac{9 \times 4}{6}$ $(9xx4)/6$	$2^{2} = 2 \times 2 = 4$ $2^2=2xx2=4$

	$=$ $=$	$\frac{36}{6}$ $36/6$	$9 \times 4 = 36$ $9xx4=36$

	$=$ $=$	$6$ $6$

6

$6$

Evaluate Rational Expressions with Variables

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Quiz summary

Information

1. Question

Hint

Keep Going!

Order of Operations (PEMDAS)

2. Question

Hint

Exceptional!

Order of Operations (PEMDAS)

3. Question

Hint

Excellent!

Order of Operations (PEMDAS)

4. Question

Hint

Nice Job!

Order of Operations (PEMDAS)

Quizzes

$\frac{3\color{#9a00c7}{a}}{2}$	$=$ $=$	$\frac{3(\color{#9a00c7}{12})}{2}$

	$=$ $=$	$\frac{36}{2}$ $36/2$

	$=$ $=$	$18$ $18$

$\frac{5(\color{#9a00c7}{a}-4)}{10}$	$=$ $=$	$\frac{5(\color{#9a00c7}{10}-4)}{10}$

	$=$ $=$	$\frac{5 (6)}{10}$ $(5(6))/10$

	$=$ $=$	$\frac{30}{10}$ $30/10$

	$=$ $=$	$3$ $3$