Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : How To Solve One Step Equations

What is the smaller root of ?

Possible Answers:

Correct answer:

Explanation:

To determine the roots of the equation, you must set each expression equal to 0. In this case, there are two expressions being multiplied. Thus, you must set and , which would give you  and  as roots, with being the smaller root.

Example Question #12 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

Simplify the equation to get . Simplify further to get , which then gives you .

Example Question #11 : Linear Equations

Possible Answers:

Correct answer:

Explanation:


Example Question #14 : Algebra 1

Possible Answers:

Correct answer:

Explanation:
 

Example Question #12 : Algebra 1

Solve for .

 

Possible Answers:

Correct answer:

Explanation:

Multiply the terms in parentheses using the distributive property.

Then, combine like terms on both sides of the equation.

Then, put the  terms on the left and the integers on the right:

Divide both sides by two to isolate .

Example Question #16 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

Add 8 to both sides.

Simplify.

Example Question #11 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

Since both sides of the equation have , you can eliminate both from the equation with the knowledge that they would cancel each other out. This gives you the shorter equation of 

.

Add  to both sides to get 

.

Finally, divide both sides by  to get .

Example Question #18 : Algebra 1

Solve for 

Possible Answers:

None of the other answers

Correct answer:

Explanation:

Solve by isolating  on one side of the equation by itself

Multiply each side of equation by 11

Example Question #19 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

Add 15 to each side of the equation.

Example Question #14 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

Multiply both sides of the equation by the reciprocal of , which is . This will give us:

We can think of this as dividing by 3 and multiplying by 5. It doesn't matter what order we do those opperations in, so we'll divide by 3 first. .

Now we'll multiply by 5: .

So our answer is 10.

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