All Algebra 1 Resources
Example Questions
Example Question #11 : Binomials
Solve for :
In simplifying these two binomials, you need to isolate to one side of the equation. You can first add 4 from the right side to the left side:
Next you can subtract the from the left side to the right side:
Finally you can divide each side by 3 to solve for :
You can double check this answer by plugging 4 into each binomial and confirm that they are equal to one another.
Example Question #12 : Binomials
Solve for :
To simplify these two binomials, you need to isolate on one side of the equation. You first can add 5 from the right to the left side:
Next you can subtract from the left to the right side:
Finally, you can isolate by dividing each side by 2:
You can verify this by plugging into each binomial to verify that they are equal to one another.
Example Question #3 : Finding Roots
Solve for :
To solve for , you need to isolate it to one side of the equation. You can subtract the from the right to the left. Then you can add the 6 from the right to the left:
Next, you can factor out this quadratic equation to solve for . You need to determine which factors of 8 add up to negative 6:
Finally, you set each binomial equal to 0 and solve for :
Example Question #1 : Foil
Simplify:
Example Question #13 : Binomials
Solve for .
32x + 37 = 43x – 29
Add 29 to both sides:
32x + 66 = 43x
Subtract 32x from both sides:
66 = 11x
Divide both sides by 11:
6 = x
Example Question #5 : How To Simplify Binomials
Find in terms of :
When solving for X in terms of Y, we simplify it so that Y is a variable that is used to represent the value of X:
To find the value for X by itself, we then divide both sides by the coefficient of 7:
Which gives the correct answer:
Example Question #4 : How To Simplify Binomials
Simplify .
The question is asking for the simplified version of .
Remember the distributive property of multiplication over addition and subtraction:
Combine like terms.
Example Question #5 : How To Simplify Binomials
Which of the following is equivalent to the expression ?
None of the other answers yields a correct response
Recall the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
Example Question #4 : How To Simplify Binomials
Which of the following is equivalent to the expression
?
Using the order of opperations, first simplify the exponent.
Next, perform the multiplication.
Example Question #1 : How To Find The Value Of The Coefficient
Give the coefficient of in the product
.
While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two terms and one constant are multiplied; find the three products and add them, as follows:
Add: .
The correct response is .
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