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Title: Evaluating Algebric Expressions

Grade: 6-a Lesson: S2-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Evaluate the expression \$2("c"^2) + 4"c" - 7\$ when c = 3.
2	Step	The given expression is	\$2("c"^2) + 4"c" - 7\$
3	Step	Substitute 3 in place of c in given expression	\$2(3)^2 + 4(3) - 7\$
4	Step	Make it simplify the equation	\$2 times 9 + 12 - 7\$ ⇒ 18 + 5 ⇒ 23
5	Step	Therefore, when c = 3, the value of the expression \$2("c"^2) + 4"c" - 7\$ is 23.
6	Choice.A	The response is inaccurate as simplification yields 23, contrary to the expected outcome of 20	20
7	Choice.B	This solution is accurate as we simplified it and obtained the outcome as 23	23
8	Choice.C	This answer is not correct because by the simplification we got the result as 23, not 27	27
9	Choice.D	The answer isn’t correct; simplification yielded 23 instead of the expected 32	32
10	Answer	Option	B
11	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Evaluate the expression \$2("c"^2) + 4"c" - 7\$ when c = 3.

Step

The given expression is

\$2("c"^2) + 4"c" - 7\$

Step

Substitute 3 in place of c in given expression

\$2(3)^2 + 4(3) - 7\$

Step

Make it simplify the equation

\$2 times 9 + 12 - 7\$

⇒ 18 + 5

⇒ 23

Step

Therefore, when c = 3, the value of the expression \$2("c"^2) + 4"c" - 7\$ is 23.

Choice.A

The response is inaccurate as simplification yields 23, contrary to the expected outcome of 20

Choice.B

This solution is accurate as we simplified it and obtained the outcome as 23

Choice.C

This answer is not correct because by the simplification we got the result as 23, not 27

Choice.D

The answer isn’t correct; simplification yielded 23 instead of the expected 32

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?