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Evaluate Rational Expressions with Variables>
Evaluate Rational Expressions with VariablesEvaluate Rational Expressions with Variables
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Question 1 of 4
1. Question
Given that `a=12`, evaluate the expression`(3a)/2`- (18)
Hint
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Keep Going!
Incorrect
Order of Operations (PEMDAS)
P`=`Parentheses
E`=`Exponents
M/D`=`Multiplication/Division
A/S`=`Addition/SubtractionSimply substitute the given value for the variable.`a` `=` `12` $$\frac{3\color{#9a00c7}{a}}{2}$$ `=` $$\frac{3(\color{#9a00c7}{12})}{2}$$ `=` `36/2` `=` `18` `18` -
Question 2 of 4
2. Question
Given that `a=10`, evaluate the expression`(5(a-4))/10`- (3)
Hint
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Exceptional!
Incorrect
Order of Operations (PEMDAS)
P`=`Parentheses
E`=`Exponents
M/D`=`Multiplication/Division
A/S`=`Addition/SubtractionSimply substitute the given value for the variable.`a` `=` `10` $$\frac{5(\color{#9a00c7}{a}-4)}{10}$$ `=` $$\frac{5(\color{#9a00c7}{10}-4)}{10}$$ `=` `(5(6))/10` `=` `30/10` `=` `3` `3` -
Question 3 of 4
3. Question
Evaluate `(10bc)/a` using the following values:`a=5``b=3``c=2`- (12)
Hint
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Excellent!
Incorrect
Order of Operations (PEMDAS)
P`=`Parentheses
E`=`Exponents
M/D`=`Multiplication/Division
A/S`=`Addition/SubtractionSimply substitute the given value for the variable.`a` `=` `5` `b` `=` `3` `c` `=` `2` $$\frac{10\color{#00880A}{b}\color{#e65021}{c}}{\color{#9a00c7}{a}}$$ `=` $$\frac{10\times\color{#00880A}{3}\times\color{#e65021}{2}}{\color{#9a00c7}{5}}$$ `=` `(30xx2)/5` `10xx3=30` `=` `60/5` `30xx2=60` `=` `12` `12` -
Question 4 of 4
4. Question
Evaluate `(9c^2)/(a+1)` using the following values:`a=5``b=3``c=2`- (6)
Hint
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Nice Job!
Incorrect
Order of Operations (PEMDAS)
P`=`Parentheses
E`=`Exponents
M/D`=`Multiplication/Division
A/S`=`Addition/SubtractionSimply substitute the given value for the variable.`a` `=` `5` `b` `=` `3` `c` `=` `2` $$\frac{9\color{#e65021}{c}^2}{\color{#9a00c7}{a}+1}$$ `=` $$\frac{9\times\color{#e65021}{2}^2}{\color{#9a00c7}{5}+1}$$ `=` `(9xx4)/6` `2^2=2xx2=4` `=` `36/6` `9xx4=36` `=` `6` `6`
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