Step-1

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 (2x + 3)(x - 1) when x = 3.

2

Step

The Given expression is

(2x + 3)(x - 1)

3

Step

Substitute 3 in place of x in given expression

\$(2 times 3 + 3) (3 − 1)\$

4

Step

Simplify the equation

\$(6 + 3) times 2\$

⇒ \$9 times 2\$

⇒ (18)

5

Step

Therefore, when x = 3, the value of the expression (2x + 3)(x − 1) is 18.

6

Choice.A

The expression yields 18, not 20, indicating an error in the calculation process

20

7

Choice.B

The expression’s calculated value is 18, not 23, rendering it incorrect

23

8

Choice.C

The expression’s calculated value is 18, not 29, thus indicating an incorrect evaluation

29

9

Choice.D

The correctness lies in the expression yielding 18 through accurate calculation

18

10

Answer

Option

D

11

Sumup

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


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