Let X Represent the Number

question 30

Multiple Choice

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
-A 10-ft. board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.

• A) shorter piece: 2 ft.; longer piece: 8 ft.
• B) shorter piece: 5 ft; longer piece: 30 ft.
• C) shorter piece: 6 ft; longer piece: 32 ft.
• D) shorter piece: 28 ft; longer piece: 30 ft.

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Definitions:

Cognitive Dissonance

The psychological stress experienced when a person holds two conflicting thoughts, beliefs, attitudes, or values.

Attitudinal Shift

A change in belief or perspective often resulting from information, experience, or persuasion.

Cheating

Engaging in dishonest or unfair actions to gain an advantage, commonly associated with academic, relationship, or sport contexts.

Dissonance Magnitude

Refers to the degree of conflict or discomfort experienced when holding two or more contradictory beliefs, values, or attitudes.