All Algebra 1 Resources
Example Questions
Example Question #152 : Equations / Inequalities
Solve for .
The question asks for the value of .
To isolate , use the distributive properties to remove the parentheses then combine like terms.
Finally isolate by balancing the equation.
Example Question #153 : Equations / Inequalities
Find the solution to this equation:
None of the other answers.
To find the solution to this equation you must completely isolate x.
Start by dealing with the parenthesis first. Distribute the 25:
Combine the x terms and move the constant over:
Finally divide the constant away from x to solve:
Example Question #3 : Solving Equations And Inequallities
Solve for x:
Simplify the parenthesis:
Combine the terms with x's:
Combine constants:
Example Question #152 : Equations / Inequalities
Solve for x:
None of these
Simplify the right side:
Isolate x:
Example Question #31 : Linear / Rational / Variable Equations
Solve for
None of the other answers.
Example Question #3 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b
Solve for :
First. combine like terms to get
.
Then, add and subtract from both sides to separate the terms.
This gives you .
Finally, divide both sides by to get a solution of .
Example Question #1 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b
Solve for :
None of the other answers
First, you must multiply the left side of the equation using the distributive property.
This gives you .
Next, subtract from both sides to get .
Then, divide both sides by to get .
Example Question #32 : Linear / Rational / Variable Equations
If , find the value of .
The simplest way to solve this is to test the answer choices provided by plugging them in the equation. Start with the number in the middle, which in this case is 6. Replace every "B" in the equation with "6", and solve.
Example Question #1 : How To Find The Solution To A Rational Equation With Lcd
Simplify the following:
Before you can add the two numerators from the fractions, the fractions must have a common denominator. The common denominator will be the Lowest Common Denominator (LCD). When you are dealing with variables, you get this by multiplying the two denominators together:
To follow through with this LCD, you must multiply each fraction by the other fraction's denominator so that they end up with common denominators. The first fraction needs to be multiplied by and the second fraction needs to be multiplied by . Note that both of these are equivalent to ONE, so the value of the fraction does not change:
Now that the two fractions have common denominators, you can add the two numerators:
Example Question #2 : How To Find The Solution To A Rational Equation With Lcd
Simplify the following:
Before you can subtract the two numerators from the fractions, the fractions must have a common denominator. The common denominator will be the Lowest Common Denominator (LCD). When you are dealing with variables, you get this by multiplying the two denominators together:
To follow through with this LCD, you must multiply each fraction by the other fraction's denominator so that they end up with common denominators. The first fraction needs to be multiplied by and the second fraction needs to be multiplied by . Note that both of these are equivalent to ONE, so the value of the fraction does not change:
Now that the two fractions have common denominators, you can subtract the two numerators. You can also distribute the denominator so you can simplify later:
Finally you can divide out each term in the numerator and denominator by 2 to fully simplify the answer: