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Linear equations in one variable SAT question

Math · Algebra · Medium · Answer it here, explanation included.

If $2 (3 t - 10) + t = 40 + 4 t$ , what is the value of $3 t$ ?

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

The correct answer is $60$ . Subtracting $t$ from both sides of the given equation yields $2 (3 t - 10) = 40 + 3 t$ . Applying the distributive property to the left-hand side of this equation yields $6 t - 20 = 40 + 3 t$ . Adding $20$ to both sides of this equation yields $6 t = 60 + 3 t$ . Subtracting $3 t$ from both sides of this equation yields $3 t = 60$ . Therefore, the value of $3 t$ is $60$ .

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Linear equations in one variable SAT question

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