Pre-Algebra : Two-Step Equations

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #41 : Two Step Equations

Solve for :

 

Possible Answers:

 

 

Correct answer:

 

Explanation:

 

Subtract  from both sides

                

Find the square root of 

                

Remember that a negative number squared returns a positive so there are  possible solutions

Example Question #41 : Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Add 3t to both sides to get the variable on one side of the equation. Then divide each side by 18 to get the answer.

Example Question #42 : Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Subtract 24 from each side to isolate the variable. Then divide each side by 72 to get x=3

Example Question #43 : Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Add 39g to each side to isolate the variable coefficient. Then divide each side by 21 to get .

Example Question #45 : Two Step Equations With Integers

Find the value of .

Possible Answers:

Correct answer:

Explanation:

 

         - 4        -4

 /16        /16

 

Check your answer by substituting the value of X back into the equation. When solved both sides of the equation should be equal.

Example Question #46 : Two Step Equations

Solve for

Possible Answers:

Correct answer:

Explanation:

Solve for t in two steps. First move all constants to the opposite side. Then move constants attached to the variable you are solving for to the opposite side.

Subtract 2 from both sides:

The red terms cancel and the right side is subtracted as usual.

Divide both sides by 16:

The red terms cancel and the right side is divided as usual.

Example Question #46 : Two Step Equations With Integers

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add two on both sides of the equation.

Divide by four on both sides.

Example Question #48 : Two Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate the unknown variable, first subtract three from both sides.

Divide by negative three on both sides.

Example Question #44 : Two Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add seven on both sides of the equation.

Divide by seven on both sides.

Example Question #50 : Two Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Subtract 12 from both sides of the equation.

Divide by six on both sides of the equation.

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