Algebra 1 : Algebra 1
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #27 : How To Find The Solution To An Inequality With Division
Solve:
We will need to isolate the term with the x variable.
First subtract three from both sides.
Simplify both sides of the inequality.
Divide by a negative three on both sides. This will change switch the sign.
Simplify both sides.
The answer is:
Example Question #111 : Equations / Inequalities
Find the solution:
Divide by negative six on both sides of the inequality.
Simplify both sides. When dividing by a negative, the sign will switch.
Rewrite the numerator and denominator with common factors.
Cancel the two on the numerator and denominator.
The answer is:
Example Question #29 : How To Find The Solution To An Inequality With Division
Solve the inequality:
In order to isolate the y variable, divide by negative nine on both sides. When dividing by a negative sign, the sign will switch directions.
Simplify both sides. When dividing by a negative nine, we can rewrite that as multiplying by negative one-ninth.
Simplify the right side.
The answer is:
Example Question #2241 : Algebra 1
Solve the inequality:
Divide by three on both sides.
Reduce both sides. For the right side, dividing by three is similar to multiplying by one-third.
Simplify.
The answer is:
Example Question #31 : How To Find The Solution To An Inequality With Division
Find the solution of the inequality:
To isolate the x-variable, we will need to divide by negative four on both sides. This is the same as multiplying negative one fourth on both sides.
Since we have a negative in front, we will also need to switch the sign.
Simplify both sides of the equation and switch the sign.
The answer is:
Example Question #2241 : Algebra 1
Solve the inequality:
Divide by negative three on both sides.
Remember that since we are dividing by a negative sign, we will need to switch the sign.
The answer is:
Example Question #113 : Equations / Inequalities
Solve the inequality:
Subtract six on both sides.
Divide by negative three on both sides. When we divide by a negative number, we will need to switch the direction of the sign.
Simplify both sides and switch the sign.
The answer is:
Example Question #2242 : Algebra 1
Solve the following inequality:
Isolate the x-variable by dividing by five on both sides. There is no need to switch the sign in this scenario.
Simplify both fraction.
The answer is:
Example Question #35 : How To Find The Solution To An Inequality With Division
Solve the inequality:
To solve this inequality, divide both sides by negative nine.
Since we are dividing by a negative number, we will need to switch the direction of the sign.
Simplify both sides.
The answer is:
Example Question #36 : How To Find The Solution To An Inequality With Division
Solve the following inequality:
Divide by negative twelve on both sides of the inequality.
Dividing by a negative value requires changing the direction of the sign.
Simplify both sides.
The answer is:
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