Substitution and Evaluating Algebraic Expressions

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Question 1 of 5

1. Question
Given that $a=8$ , evaluate the expression

$a+7$
- (15)
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Simply substitute the given value for the variable.

$a$ $=$ $8$

$a$ $+7$

$=$ $8$ $+7$

$=$ $15$

$15$
Question 2 of 5

2. Question
Given that $a=7$ , evaluate the expression

$2a-11$
- (3)
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Simply substitute the given value for the variable.

$a$ $=$ $7$

$2$ $a$ $-11$

$=$ $(2xx$ $7$ $)-11$

$=$ $14-11$ $2xx7=14$

$=$ $3$

$3$
Question 3 of 5

3. Question
Given that $a=8$ , evaluate the expression

$40-3a$
- (16)
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Simply substitute the given value for the variable.

$a$ $=$ $8$

$40-3$ $a$

$=$ $40-(3xx$ $8$ $)$

$=$ $40-24$ $3xx8=24$

$=$ $16$

$16$
Question 4 of 5

4. Question
Given that $a=5$ , evaluate the expression

$2a^2$
- (50)
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Simply substitute the given value for the variable.

$a$ $=$ $5$

$2\color{#9a00c7}{a}^2$

$=$ $2\times(\color{#9a00c7}{5})^2$

$=$ $2xx25$ $5^2=5xx5=25$

$=$ $50$

$50$
Question 5 of 5

5. Question
Given that $a=6$ , evaluate the expression

$2(a^2+1)$
- (74)
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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.

$a$ $=$ $6$

$2(\color{#9a00c7}{a}^2+1)$

$=$ $2(\color{#9a00c7}{6}^2+1)$

$=$ $2(36+1)$ $6^2=36$

$=$ $2xx37$ Solve the operation inside the parenthesis

$=$ $74$

$74$

Substitution and Evaluating Algebraic Expressions

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Quiz summary

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1. Question

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2. Question

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Excellent!

3. Question

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4. Question

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Great Work!

5. Question

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Correct!

Order of Operations (PEMDAS)

Quizzes

	$2$ $a$ $-11$
$=$	$(2xx$ $7$ $)-11$
$=$	$14-11$	$2xx7=14$
$=$	$3$

	$40-3$ $a$
$=$	$40-(3xx$ $8$ $)$
$=$	$40-24$	$3xx8=24$
$=$	$16$

	$2\color{#9a00c7}{a}^2$
$=$	$2\times(\color{#9a00c7}{5})^2$
$=$	$2xx25$	$5^2=5xx5=25$
$=$	$50$

	$2(\color{#9a00c7}{a}^2+1)$
$=$	$2(\color{#9a00c7}{6}^2+1)$
$=$	$2(36+1)$	$6^2=36$
$=$	$2xx37$	Solve the operation inside the parenthesis
$=$	$74$