Substitution and Evaluating Algebraic Expressions

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Question 1 of 5

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

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

$a$ $a$ $=$ $=$ $8$ $8$

$a$ $a$ $+ 7$ $+7$

$=$ $=$ $8$ $8$ $+ 7$ $+7$

$=$ $=$ $15$ $15$

$15$ $15$
Question 2 of 5

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

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

$a$ $a$ $=$ $=$ $7$ $7$

$2$ $2$ $a$ $a$ $- 11$ $-11$

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

$=$ $=$ $14 - 11$ $14-11$ $2 \times 7 = 14$ $2xx7=14$

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

$3$ $3$
Question 3 of 5

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

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

$a$ $a$ $=$ $=$ $8$ $8$

$40 - 3$ $40-3$ $a$ $a$

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

$=$ $=$ $40 - 24$ $40-24$ $3 \times 8 = 24$ $3xx8=24$

$=$ $=$ $16$ $16$

$16$ $16$
Question 4 of 5

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

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

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

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

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

$=$ $=$ $2 \times 25$ $2xx25$ $5^{2} = 5 \times 5 = 25$ $5^2=5xx5=25$

$=$ $=$ $50$ $50$

$50$ $50$

Question 5 of 5

Given that

a = 6

$a=6$ , evaluate the expression

2 (a^{2} + 1)

$2(a^2+1)$

(74)

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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

$a$

=

$=$

6

$6$

	$2(\color{#9a00c7}{a}^2+1)$
$=$ $=$	$2(\color{#9a00c7}{6}^2+1)$
$=$ $=$	$2 (36 + 1)$ $2(36+1)$	$6^{2} = 36$ $6^2=36$
$=$ $=$	$2 \times 37$ $2xx37$	Solve the operation inside the parenthesis
$=$ $=$	$74$ $74$

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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3. Question

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4. Question

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5. Question

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Correct!

Order of Operations (PEMDAS)

Quizzes

		$a$ $a$ $+ 7$ $+7$
	$=$ $=$	$8$ $8$ $+ 7$ $+7$
	$=$ $=$	$15$ $15$

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

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

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