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1. If the width of a rectangle is (2x+4) inches and the length is (x-3) inches, what is the area of the rectangle in terms of x?
2. If the side of a square is (x+6) feet, what is the area of the square in terms of x?
3. Find the volume of a box that is ready to be shipped. The length is (x+2), the width is (x-3), and the height is (3x+4).
4. A baseball is thrown and its path is represented by the expression 2t2 - 22t + 36. Express the trinomial in factored form.
Find real numbers a and b such that a is not equal b but a^4 = b^4. Explain why this does not violate the third exponential function property in Theorem 2?
translate the phrase to a algebraic expression. state what each variable represents. one-sixth of a number plus
FOIL is an acronym designed to help you multiply binomials, not monomials or trinomials. Do you think that you could create an acronym (it will have more than 4 letters) to help you multiply a binomial and a trinomial?
Solve for the given variable
Apply the quadratic formula to solve the equation.
Solve the quadratic equation for m.
What is the relationship between exponents and logarithms? How would you distinguish between the two, using both a graph and a sequence?
Calculate the sum of the following series.
What is our discriminant for the quadratic equation x2 + x + 1 = 0? Do we have a solution to our quadratic formula for the case of a negative discriminant?
Set up the objective function & constraints & then solve.
Application problems in linear equation
Choose three integers a, b, and c. (Negative numbers are welcome.) Now use a, b, and c to create a trinomial ax2+bx+c. Can you factor this trinomial? How would you create a trinomial that will factor?
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