Pre-Algebra : Two-Step Equations

Study concepts, example questions & explanations for Pre-Algebra

varsity tutors app store varsity tutors android store

Example Questions

Example Question #171 : Algebraic Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

To solve for , first add 1.5 on both sides of the equation.

Divide both sides by negative three.

Example Question #22 : Two Step Equations With Decimals

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, first add  on both sides of the equation.

Simplify the left and right side of the equation.

Convert the decimal on the left side of the equation to a fraction.

Rewrite the equation.

To isolate the unknown variable, multiply by the reciprocal of , or , on each side of the equation.

Simplify the left and the right side of the equation.

Example Question #123 : Two Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, we need to group the  terms and separate the integer .

Add  on both sides.

Add both sides by .

Add the left side of the equation to get .

The answer is:  

Example Question #23 : Two Step Equations With Decimals

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

To isolate the  variable, subtract nine from both sides of the equation.

Simplify both sides of the equation.

Convert the decimal on the left side of the equation to a fraction.

Rewrite the equation.

Multiply both sides by  to get  by itself.

Simplify both sides of the equation.   Multiply the tens together on the right side of the equation and leave the fraction in improper form.

The answer is:  

Example Question #125 : Two Step Equations

Solve the two-step equation below.

Possible Answers:

Correct answer:

Explanation:

Use properties of equality. Start with either subtraction or addition then multiplication or division.

                 

Now divide by 32.

Check your answer by substituting 7.25 in place of x.

Both sides are equal.

Example Question #126 : Two Step Equations

Find the solution for y.

Possible Answers:

Correct answer:

Explanation:

In this two step equation we must isolate and find the solution of y. So the first step is to add both sides by 3.4 as follows:

The next step is divide both sides by 1.25 as follows:

You can check your answer by inserting 8 into y in the original equation as follows:

It's correct!

Learning Tools by Varsity Tutors