Praxis Math : How to reason and solve one-variable equations and inequalities

Study concepts, example questions & explanations for Praxis Math

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Example Questions

Example Question #1 : How To Reason And Solve One Variable Equations And Inequalities

Solve for .

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

In order to solve for the variable, , we need to isolate it on the left side of the equation. We will do this by reversing the operations done to the variable by performing the opposite of each operation on both sides of the equation. 

Let's begin by rewriting the given equation.

Subtract  from both sides of the equation.

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #2 : How To Reason And Solve One Variable Equations And Inequalities

Solve for .

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

In order to solve for the variable, , we need to isolate it on the left side of the equation. We will do this by reversing the operations done to the variable by performing the opposite of each operation on both sides of the equation. 

Let's begin by rewriting the given equation.

Subtract  from both sides of the equation.

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #3 : How To Reason And Solve One Variable Equations And Inequalities

Solve for .

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

In order to solve for the variable, , we need to isolate it on the left side of the equation. We will do this by reversing the operations done to the variable by performing the opposite of each operation on both sides of the equation. 

Let's begin by rewriting the given equation.

Add  to both sides of the equation.

Simplify.

Divide both sides of the equation by .

Solve.

Example Question #4 : How To Reason And Solve One Variable Equations And Inequalities

Solve for .

Possible Answers:

Cannot be determined 

Correct answer:

Explanation:

In order to solve for the variable, , we need to isolate it on the left side of the equation. We will do this by reversing the operations done to the variable by performing the opposite of each operation on both sides of the equation. 

Let's begin by rewriting the given equation.

Add  to both sides of the equation.

Simplify.

Divide both sides of the equation by .

Solve.

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