Algebra II : Equations

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #101 : Solving Equations

Solve for a.

Possible Answers:

Correct answer:

Explanation:

Step 1: Cross multiply

Step 2: FOIL the polynomials

Step 3: Combine like terms & solve

 

Example Question #111 : Solving Equations

Solve for x.

Possible Answers:

Correct answer:

Explanation:

First collect all x terms on one side by adding 3x to both sides like so:

Then subtract 16 from both sides like so:

Divide both sides by 4 to get x by itself to give you the answer:

 

Example Question #112 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for the variable we need to isolate it on one side of the equation with all other constants on the other side. To do this perform the opposite operation.

 Subtract  on both sides.

 Multiply  on both sides.

Example Question #113 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for the variable we need to isolate it on one side of the equation with all other constants on the other side. To do this perform opposite operations when manipulating the equation.

 

Divide  on both sides.

 

Subtract  on both sides.

Example Question #591 : Basic Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve for the variable we need to isolate it on one side of the equation with all other constants on the other side. To do this perform opposite operations when manipulating the equation.

 

Distribute the  to each term in the parentheses.

 

Subtract  on both sides.

 

Subtract  on both sides.

 

Divide  on both sides.

Example Question #115 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Divide  on both sides.

Example Question #116 : Solving Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

 Divide  on both sides.

 Subtract  on both sides.

 

Example Question #241 : Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

Example Question #243 : Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides. 

 Divide  on both sides.

Example Question #119 : Solving Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Distribute the  to each term in the parenthesis.

 Subtract  on both sides.

 Divide  on both sides.

Learning Tools by Varsity Tutors