Step-5

Title: Proportion

Grade: 8-a Lesson: S2-L6

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Solving the Proportion \$(x+1)2 : 3\$ = \$8 : 3\$.

2

Step

Given Proportion.

\$(x+1)2 : 3\$ = \$8 : 3\$

3

Step

First, convert the provided proportion into a fraction.

\$((x + 1)2) / 3\$ = \$8 / 3\$

4

Step

To solve the proportion, begin by cross-multiplying.

\$(2x + 2) \times3\$ = \$8 \times3\$
⇒\$6x + 6\$ = \$24\$

5

Step

Move the variables to one side and the constants to the other side carefully.

\$6x = 24 - 6\$
⇒ \$6x = 18\$

6

Step

Divide both sides by the number connected to the variable

\$(6x)/6 = 18/6\$

7

Step

The value of x is:

\$x = 3\$

8

Answer

B


Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 29-June-2023 09:20AM EST