Evaluate an equation by substitution

Evaluate an equation by substitution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve for the variable b in the equation a + b + c = 180, where b = 3a and c = 5a. The teacher demonstrates using substitution to replace b and c with expressions in terms of a, simplifying the equation to a single variable. By combining like terms, the equation becomes 9a = 180, which is solved to find a = 20. Finally, the value of b is calculated as 3 times a, resulting in b = 60.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the expression that includes variables a, b, and c?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can substitution be used to solve for b in terms of a?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of a after solving the equation?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between b and a as described in the text?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final value of b calculated in the text?

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