Solving Equations by Using Addition and Subtraction

Solving Equations Using Addition and Subtraction

Practice Questions

Question #1:

 
\(2x+13=41\)

\(x=27\)
\(x=7\)
\(x=14\)
\(x=28\)
Answer:

The correct answer is \(x=14\).
\(2x+13=41\)
The first thing to do with this equation is subtract 13 from both sides.
\(2x=28\)
Then, divide both sides by 2.
\(x=14\)

Question #2:

 
\(8x-29=14\)

\(x=-1\)
\(x=5\)
\(x=-1\frac{7}{8}\)
\(x=5\frac{3}{8}\)
Answer:

The correct answer is \(x=5\frac{3}{8}\).
\(8x-29=14\)
The first thing to do with this equation is add 29 to both sides.
\(8x=43\)
Then, divide both sides by 8.
\(x=\frac{43}{8}\)
Finally, turn \(\frac{43}{8}\) into a mixed number.
\(x=5\frac{3}{8}\)

Question #3:

 
\(41-2x=19\)

\(x=30\)
\(x=11\)
\(x=-30\)
\(x=-11\)
Answer:

The correct answer is \(x=11\).
\(41-2x=19\)
The first thing to do with this equation is subtract 41 from both sides.
\(-2x=-22\)
Then, divide both sides by -2.
\(x=11\)

Question #4:

 
\(21+13-x=3x-6\)

\(x=10\)
\(x=11\)
\(x=14\)
\(x=9\)
Answer:

The correct answer is \(x=10\).
\(21+13-x=3x-6\)
The first thing to do with this equation is combine like terms.
\(34-x=3x-6\)
Next, add 6 to both sides.
\(40=4x\)
Finally, divide both sides by 4.
\(10=x\)

Question #5:

 
\(x-17+11=21-5\)

\(x=22\)
\(x=10\)
\(x=14\)
\(x=27\)
Answer:

The correct answer is \(x=22\).
\(x-17+11=21-5\)
The first thing to do with this equation is combine like terms.
\(x-6=16\)
Then, add 6 to both sides.
\(x=22\)

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by Mometrix Test Preparation | Last Updated: February 8, 2021