Substitution and Evaluating Multi-Variable Algebraic Expressions

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Question 1 of 5

1. Question
Evaluate $3 a - b$ $3a-b$ 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)

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

Simply substitute the given value for the variable.

$a$ $a$ $=$ $=$ $5$ $5$

$b$ $b$ $=$ $=$ $3$ $3$

$c$ $c$ $=$ $=$ $2$ $2$

$3$ $3$ $a$ $a$ $-$ $-$ $b$ $b$ $=$ $=$ $(3 \times$ $(3xx$ $5$ $5$ $) -$ $)-$ $3$ $3$

$=$ $=$ $15 - 3$ $15-3$ $3 \times 5 = 15$ $3xx5=15$

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

$12$ $12$
Question 2 of 5

2. Question
Evaluate $a^{2} - c$ $a^2-c$ using the following values:

$a = 5$ $a=5$

$b = 3$ $b=3$

$c = 2$ $c=2$
- (23)
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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.

$a$ $a$ $=$ $=$ $5$ $5$

$b$ $b$ $=$ $=$ $3$ $3$

$c$ $c$ $=$ $=$ $2$ $2$

$\color{#9a00c7}{a}^2-\color{#e65021}{c}$ $=$ $=$ $\color{#9a00c7}{5}^2-\color{#e65021}{2}$

$=$ $=$ $25 - 2$ $25-2$ $5^{2} = 5 \times 5 = 25$ $5^2=5xx5=25$

$=$ $=$ $23$ $23$

$23$ $23$

Question 3 of 5

Evaluate

a b c^{2}

$abc^2$ using the following values:

a = 5

$a=5$

b = 3

$b=3$

c = 2

$c=2$

(60)

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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.

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

$\color{#9a00c7}{a}\color{#00880A}{b}\color{#e65021}{c}^2$	$=$ $=$	$\color{#9a00c7}{5}\times\color{#00880A}{3}\times\color{#e65021}{2}^2$
	$=$ $=$	$5 \times 3 \times 4$ $5xx3xx4$	$2^{2} = 2 \times 2 = 4$ $2^2=2xx2=4$
	$=$ $=$	$15 \times 4$ $15xx4$	$5 \times 3 = 15$ $5xx3=15$
	$=$ $=$	$60$ $60$

60

$60$

Question 4 of 5

4. Question
Evaluate $c {(a - 1)}^{2}$ $c(a-1)^2$ using the following values:

$a = 5$ $a=5$

$b = 3$ $b=3$

$c = 2$ $c=2$
- (32)
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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.

$a$ $a$ $=$ $=$ $5$ $5$

$b$ $b$ $=$ $=$ $3$ $3$

$c$ $c$ $=$ $=$ $2$ $2$

$c$ $c$ $($ $($ $a$ $a$ $- 1)^{2}$ $-1)^2$ $=$ $=$ $2$ $2$ $($ $($ $5$ $5$ $- 1)^{2}$ $-1)^2$

$=$ $=$ $2 {(4)}^{2}$ $2(4)^2$ $5 - 1 = 4$ $5-1=4$

$=$ $=$ $2 \times 16$ $2 xx 16$ $4^{2} = 4 \times 4 = 16$ $4^2=4xx4=16$

$=$ $=$ $32$ $32$

$32$ $32$

Question 5 of 5

Evaluate

2 a + b c^{2} - 4 c

$2a+bc^2-4c$ using the following values:

a = 5

$a=5$

b = 3

$b=3$

c = 2

$c=2$

(14)

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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.

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

$2\color{#9a00c7}{a}+\color{#00880A}{b}\color{#e65021}{c}^2-4\color{#e65021}{c}$	$=$ $=$	$2(\color{#9a00c7}{5})+(\color{#00880A}{3})(\color{#e65021}{2})^2-4(\color{#e65021}{2})$
	$=$ $=$	$10 + (3 \times 4) - 8$ $10+(3xx4)-8$	$2^{2} = 2 \times 2 = 4$ $2^2=2xx2=4$
	$=$ $=$	$10 + 12 - 8$ $10+12-8$	$3 \times 4 = 12$ $3xx4=12$
	$=$ $=$	$22 - 8$ $22-8$
	$=$ $=$	$14$ $14$

14

$14$

Substitution and Evaluating Multi-Variable Algebraic Expressions

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Quiz summary

Information

1. Question

Hint

Fantastic!

Order of Operations (PEMDAS)

2. Question

Hint

Keep Going!

Order of Operations (PEMDAS)

3. Question

Hint

Correct!

Order of Operations (PEMDAS)

4. Question

Hint

Great Work!

Order of Operations (PEMDAS)

5. Question

Hint

Well Done!

Order of Operations (PEMDAS)

Quizzes

$3$ $3$ $a$ $a$ $-$ $-$ $b$ $b$	$=$ $=$	$(3 \times$ $(3xx$ $5$ $5$ $) -$ $)-$ $3$ $3$
	$=$ $=$	$15 - 3$ $15-3$	$3 \times 5 = 15$ $3xx5=15$
	$=$ $=$	$12$ $12$

$\color{#9a00c7}{a}^2-\color{#e65021}{c}$	$=$ $=$	$\color{#9a00c7}{5}^2-\color{#e65021}{2}$
	$=$ $=$	$25 - 2$ $25-2$	$5^{2} = 5 \times 5 = 25$ $5^2=5xx5=25$
	$=$ $=$	$23$ $23$

$c$ $c$ $($ $($ $a$ $a$ $- 1)^{2}$ $-1)^2$	$=$ $=$	$2$ $2$ $($ $($ $5$ $5$ $- 1)^{2}$ $-1)^2$
	$=$ $=$	$2 {(4)}^{2}$ $2(4)^2$	$5 - 1 = 4$ $5-1=4$
	$=$ $=$	$2 \times 16$ $2 xx 16$	$4^{2} = 4 \times 4 = 16$ $4^2=4xx4=16$
	$=$ $=$	$32$ $32$