All Common Core: High School - Algebra Resources
Example Questions
Example Question #1 : Reasoning With Equations & Inequalities
Solve for .
To solve for , first combine like terms.
On the left-hand side of the equation there are two terms that contain . Therefore, add and together.
Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.
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Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.
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Example Question #2 : Reasoning With Equations & Inequalities
Solve for .
To solve for , first combine like terms.
On the left-hand side of the equation there are two terms that contain . Therefore, subtract from .
Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.
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Next, subtract the constant from the right-hand side of the equation to the left-hand side.
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Finally divide each side by three to solve for .
Example Question #1 : Reasoning With Equations & Inequalities
Solve for .
To solve for , first combine like terms.
On the left-hand side of the equation there are two terms that contain . Therefore, add and together.
Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.
_____________________
Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.
______________
Example Question #2 : Reasoning With Equations & Inequalities
Solve for .
To solve for , first combine like terms.
On the left-hand side of the equation there are two terms that contain . Therefore, add and together.
Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.
_____________________
Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.
______________
Example Question #1 : Reasoning With Equations & Inequalities
Solve for .
To solve for , first combine like terms.
On the left-hand side of the equation there are two terms that contain . Therefore, add and together.
Now, move the term from the left-hand side to the right-hand side. To accomplish this, subtract from both sides.
_____________________
Next, to isolate , subtract the constant from the right-hand side of the equation to the left-hand side.
______________
Example Question #2 : Reasoning With Equations & Inequalities
Solve for .
To solve for , first combine the like terms on the left-hand side of the equation.
Therefore, the equation becomes,
Now, move all the variables to the right-hand side of the equation by adding to both sides.
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From here, subtract the constant on the right-hand side from both sides of the equation.
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Lastly, divide by three on both sides of the equation to solve for .
Example Question #2 : Reasoning With Equations & Inequalities
Solve for .
To solve for , first subtract one from both sides to combine the constant terms.
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From here, multiply by two on both sides to solve for .
The two in the numerator cancels the two in the denominator on the left-hand side of the equation; thus, isolating .
Example Question #3 : Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1
Solve for .
To solve for first combine the constant terms by adding two to both sides of the equation.
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From here, multiply each side of the equation by 3 to solve for .
The three in the numerator cancels out the three in the denominator on the left-hand side of the equation; thus, solving for .
Example Question #7 : Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1
Solve for .
First, combine like terms on both sides of the equation.
On the left-hand side:
Thus the equation becomes,
Now, subtract from both sides.
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Lastly, divide by negative one on both sides.
Example Question #8 : Solving An Equation Step By Step: Ccss.Math.Content.Hsa Rei.A.1
Solve for .
First, subtract from both sides to get the variables on one side.
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From here, add ten to both sides to get all constants on one side, and solve for .
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