TACHS Math : Linear equations

Study concepts, example questions & explanations for TACHS Math

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Example Questions

Example Question #1 : Linear Equations

\displaystyle 2y+ 16 = 80

What value of \displaystyle y makes this a true statement?

Possible Answers:

\displaystyle y = 128

\displaystyle y = 48

\displaystyle y = 196

\displaystyle y = 32

Correct answer:

\displaystyle y = 32

Explanation:

Isolate the \displaystyle y on the left side of the equation by performing the same steps on both sides. These steps should be the opposite of the operations performed on \displaystyle y.

Multiplication precedes addition in the order of operations, so reverse the addition of 16 by subtracting 16 from both sides:

\displaystyle 2y+ 16 = 80

\displaystyle 2y+ 16-16 = 80 - 16

\displaystyle 2y = 64

Now reverse multiplication by 2 by dividing by 2:

\displaystyle 2y \div 2 = 64 \div 2

\displaystyle y = 32

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